49.832.640.000 : Calculer tous les diviseurs du nombre 49.832.640.000 (propre, impropre et facteurs premiers)

Les diviseurs du nombre 49.832.640.000

1. Réaliser la décomposition du nombre 49.832.640.000 en facteurs premiers :

La décomposition en facteurs premiers (la factorisation première) d'un nombre : trouver les nombres premiers qui se multiplient ensemble pour former ce nombre.

49.832.640.000 = 29 × 32 × 54 × 113 × 13
49.832.640.000 n'est pas un nombre premier mais un composé.

» Calculateur en ligne. Vérifier si un nombre est premier ou non. La décomposition en facteurs premiers (la factorisation première) des nombres composés

* Les nombres naturels qui ne sont divisibles que par 1 et eux-mêmes sont appelés nombres premiers. A prime number has exactly two factors: 1 and the number itself.
* Un nombre composé est un nombre naturel qui a au moins un autre diviseur que 1 et lui-même.


2. Multipliez les facteurs premiers du nombre 49.832.640.000

Multiplier les facteurs premiers impliqués dans la décomposition en facteurs premiers (la factorisation première) du nombre dans toutes leurs combinaisons uniques, qui donnent des résultats différents.

Considérez également les exposants de ces facteurs premiers.

Ajoutez également 1 à la liste des diviseurs. Tous les nombres sont divisibles par 1.


Tous les diviseurs sont listés ci-dessous - par ordre croissant

La liste des diviseurs:

ni premier ni composé = 1
facteur premier = 2
facteur premier = 3
22 = 4
facteur premier = 5
2 × 3 = 6
23 = 8
32 = 9
2 × 5 = 10
facteur premier = 11
22 × 3 = 12
facteur premier = 13
3 × 5 = 15
24 = 16
2 × 32 = 18
22 × 5 = 20
2 × 11 = 22
23 × 3 = 24
52 = 25
2 × 13 = 26
2 × 3 × 5 = 30
25 = 32
3 × 11 = 33
22 × 32 = 36
3 × 13 = 39
23 × 5 = 40
22 × 11 = 44
32 × 5 = 45
24 × 3 = 48
2 × 52 = 50
22 × 13 = 52
5 × 11 = 55
22 × 3 × 5 = 60
26 = 64
5 × 13 = 65
2 × 3 × 11 = 66
23 × 32 = 72
3 × 52 = 75
2 × 3 × 13 = 78
24 × 5 = 80
23 × 11 = 88
2 × 32 × 5 = 90
25 × 3 = 96
32 × 11 = 99
22 × 52 = 100
23 × 13 = 104
2 × 5 × 11 = 110
32 × 13 = 117
23 × 3 × 5 = 120
112 = 121
53 = 125
27 = 128
2 × 5 × 13 = 130
22 × 3 × 11 = 132
11 × 13 = 143
24 × 32 = 144
2 × 3 × 52 = 150
22 × 3 × 13 = 156
25 × 5 = 160
3 × 5 × 11 = 165
24 × 11 = 176
22 × 32 × 5 = 180
26 × 3 = 192
3 × 5 × 13 = 195
2 × 32 × 11 = 198
23 × 52 = 200
24 × 13 = 208
22 × 5 × 11 = 220
32 × 52 = 225
2 × 32 × 13 = 234
24 × 3 × 5 = 240
2 × 112 = 242
2 × 53 = 250
28 = 256
22 × 5 × 13 = 260
23 × 3 × 11 = 264
52 × 11 = 275
2 × 11 × 13 = 286
25 × 32 = 288
22 × 3 × 52 = 300
23 × 3 × 13 = 312
26 × 5 = 320
52 × 13 = 325
2 × 3 × 5 × 11 = 330
25 × 11 = 352
23 × 32 × 5 = 360
3 × 112 = 363
3 × 53 = 375
27 × 3 = 384
2 × 3 × 5 × 13 = 390
22 × 32 × 11 = 396
24 × 52 = 400
25 × 13 = 416
3 × 11 × 13 = 429
23 × 5 × 11 = 440
2 × 32 × 52 = 450
22 × 32 × 13 = 468
25 × 3 × 5 = 480
22 × 112 = 484
32 × 5 × 11 = 495
22 × 53 = 500
29 = 512
23 × 5 × 13 = 520
24 × 3 × 11 = 528
2 × 52 × 11 = 550
22 × 11 × 13 = 572
26 × 32 = 576
32 × 5 × 13 = 585
23 × 3 × 52 = 600
5 × 112 = 605
24 × 3 × 13 = 624
54 = 625
27 × 5 = 640
2 × 52 × 13 = 650
22 × 3 × 5 × 11 = 660
26 × 11 = 704
5 × 11 × 13 = 715
24 × 32 × 5 = 720
2 × 3 × 112 = 726
2 × 3 × 53 = 750
28 × 3 = 768
22 × 3 × 5 × 13 = 780
23 × 32 × 11 = 792
25 × 52 = 800
3 × 52 × 11 = 825
26 × 13 = 832
2 × 3 × 11 × 13 = 858
24 × 5 × 11 = 880
22 × 32 × 52 = 900
23 × 32 × 13 = 936
26 × 3 × 5 = 960
23 × 112 = 968
3 × 52 × 13 = 975
2 × 32 × 5 × 11 = 990
23 × 53 = 1.000
24 × 5 × 13 = 1.040
25 × 3 × 11 = 1.056
32 × 112 = 1.089
22 × 52 × 11 = 1.100
32 × 53 = 1.125
23 × 11 × 13 = 1.144
27 × 32 = 1.152
2 × 32 × 5 × 13 = 1.170
24 × 3 × 52 = 1.200
2 × 5 × 112 = 1.210
25 × 3 × 13 = 1.248
2 × 54 = 1.250
28 × 5 = 1.280
32 × 11 × 13 = 1.287
22 × 52 × 13 = 1.300
23 × 3 × 5 × 11 = 1.320
113 = 1.331
53 × 11 = 1.375
27 × 11 = 1.408
2 × 5 × 11 × 13 = 1.430
25 × 32 × 5 = 1.440
22 × 3 × 112 = 1.452
22 × 3 × 53 = 1.500
29 × 3 = 1.536
23 × 3 × 5 × 13 = 1.560
112 × 13 = 1.573
24 × 32 × 11 = 1.584
26 × 52 = 1.600
53 × 13 = 1.625
2 × 3 × 52 × 11 = 1.650
27 × 13 = 1.664
22 × 3 × 11 × 13 = 1.716
25 × 5 × 11 = 1.760
23 × 32 × 52 = 1.800
3 × 5 × 112 = 1.815
24 × 32 × 13 = 1.872
3 × 54 = 1.875
27 × 3 × 5 = 1.920
24 × 112 = 1.936
2 × 3 × 52 × 13 = 1.950
22 × 32 × 5 × 11 = 1.980
24 × 53 = 2.000
25 × 5 × 13 = 2.080
26 × 3 × 11 = 2.112
3 × 5 × 11 × 13 = 2.145
2 × 32 × 112 = 2.178
23 × 52 × 11 = 2.200
2 × 32 × 53 = 2.250
24 × 11 × 13 = 2.288
28 × 32 = 2.304
22 × 32 × 5 × 13 = 2.340
25 × 3 × 52 = 2.400
22 × 5 × 112 = 2.420
32 × 52 × 11 = 2.475
26 × 3 × 13 = 2.496
22 × 54 = 2.500
29 × 5 = 2.560
2 × 32 × 11 × 13 = 2.574
23 × 52 × 13 = 2.600
24 × 3 × 5 × 11 = 2.640
2 × 113 = 2.662
2 × 53 × 11 = 2.750
28 × 11 = 2.816
22 × 5 × 11 × 13 = 2.860
26 × 32 × 5 = 2.880
23 × 3 × 112 = 2.904
32 × 52 × 13 = 2.925
23 × 3 × 53 = 3.000
52 × 112 = 3.025
24 × 3 × 5 × 13 = 3.120
2 × 112 × 13 = 3.146
25 × 32 × 11 = 3.168
27 × 52 = 3.200
2 × 53 × 13 = 3.250
22 × 3 × 52 × 11 = 3.300
28 × 13 = 3.328
23 × 3 × 11 × 13 = 3.432
26 × 5 × 11 = 3.520
52 × 11 × 13 = 3.575
24 × 32 × 52 = 3.600
2 × 3 × 5 × 112 = 3.630
25 × 32 × 13 = 3.744
2 × 3 × 54 = 3.750
28 × 3 × 5 = 3.840
25 × 112 = 3.872
22 × 3 × 52 × 13 = 3.900
23 × 32 × 5 × 11 = 3.960
3 × 113 = 3.993
25 × 53 = 4.000
3 × 53 × 11 = 4.125
26 × 5 × 13 = 4.160
27 × 3 × 11 = 4.224
2 × 3 × 5 × 11 × 13 = 4.290
22 × 32 × 112 = 4.356
24 × 52 × 11 = 4.400
22 × 32 × 53 = 4.500
25 × 11 × 13 = 4.576
29 × 32 = 4.608
23 × 32 × 5 × 13 = 4.680
3 × 112 × 13 = 4.719
26 × 3 × 52 = 4.800
23 × 5 × 112 = 4.840
3 × 53 × 13 = 4.875
2 × 32 × 52 × 11 = 4.950
27 × 3 × 13 = 4.992
23 × 54 = 5.000
22 × 32 × 11 × 13 = 5.148
24 × 52 × 13 = 5.200
25 × 3 × 5 × 11 = 5.280
22 × 113 = 5.324
32 × 5 × 112 = 5.445
22 × 53 × 11 = 5.500
32 × 54 = 5.625
29 × 11 = 5.632
23 × 5 × 11 × 13 = 5.720
27 × 32 × 5 = 5.760
24 × 3 × 112 = 5.808
2 × 32 × 52 × 13 = 5.850
24 × 3 × 53 = 6.000
2 × 52 × 112 = 6.050
25 × 3 × 5 × 13 = 6.240
22 × 112 × 13 = 6.292
26 × 32 × 11 = 6.336
28 × 52 = 6.400
32 × 5 × 11 × 13 = 6.435
22 × 53 × 13 = 6.500
23 × 3 × 52 × 11 = 6.600
5 × 113 = 6.655
29 × 13 = 6.656
24 × 3 × 11 × 13 = 6.864
54 × 11 = 6.875
27 × 5 × 11 = 7.040
2 × 52 × 11 × 13 = 7.150
25 × 32 × 52 = 7.200
22 × 3 × 5 × 112 = 7.260
26 × 32 × 13 = 7.488
22 × 3 × 54 = 7.500
29 × 3 × 5 = 7.680
26 × 112 = 7.744
23 × 3 × 52 × 13 = 7.800
5 × 112 × 13 = 7.865
24 × 32 × 5 × 11 = 7.920
2 × 3 × 113 = 7.986
26 × 53 = 8.000
54 × 13 = 8.125
2 × 3 × 53 × 11 = 8.250
27 × 5 × 13 = 8.320
28 × 3 × 11 = 8.448
22 × 3 × 5 × 11 × 13 = 8.580
23 × 32 × 112 = 8.712
25 × 52 × 11 = 8.800
23 × 32 × 53 = 9.000
3 × 52 × 112 = 9.075
26 × 11 × 13 = 9.152
24 × 32 × 5 × 13 = 9.360
2 × 3 × 112 × 13 = 9.438
27 × 3 × 52 = 9.600
24 × 5 × 112 = 9.680
2 × 3 × 53 × 13 = 9.750
22 × 32 × 52 × 11 = 9.900
28 × 3 × 13 = 9.984
24 × 54 = 10.000
23 × 32 × 11 × 13 = 10.296
25 × 52 × 13 = 10.400
26 × 3 × 5 × 11 = 10.560
23 × 113 = 10.648
3 × 52 × 11 × 13 = 10.725
2 × 32 × 5 × 112 = 10.890
23 × 53 × 11 = 11.000
2 × 32 × 54 = 11.250
24 × 5 × 11 × 13 = 11.440
28 × 32 × 5 = 11.520
25 × 3 × 112 = 11.616
22 × 32 × 52 × 13 = 11.700
32 × 113 = 11.979
25 × 3 × 53 = 12.000
22 × 52 × 112 = 12.100
32 × 53 × 11 = 12.375
26 × 3 × 5 × 13 = 12.480
23 × 112 × 13 = 12.584
27 × 32 × 11 = 12.672
29 × 52 = 12.800
2 × 32 × 5 × 11 × 13 = 12.870
23 × 53 × 13 = 13.000
24 × 3 × 52 × 11 = 13.200
2 × 5 × 113 = 13.310
25 × 3 × 11 × 13 = 13.728
2 × 54 × 11 = 13.750
28 × 5 × 11 = 14.080
32 × 112 × 13 = 14.157
22 × 52 × 11 × 13 = 14.300
26 × 32 × 52 = 14.400
23 × 3 × 5 × 112 = 14.520
32 × 53 × 13 = 14.625
27 × 32 × 13 = 14.976
23 × 3 × 54 = 15.000
53 × 112 = 15.125
27 × 112 = 15.488
24 × 3 × 52 × 13 = 15.600
2 × 5 × 112 × 13 = 15.730
25 × 32 × 5 × 11 = 15.840
22 × 3 × 113 = 15.972
27 × 53 = 16.000
2 × 54 × 13 = 16.250
22 × 3 × 53 × 11 = 16.500
28 × 5 × 13 = 16.640
29 × 3 × 11 = 16.896
23 × 3 × 5 × 11 × 13 = 17.160
113 × 13 = 17.303
24 × 32 × 112 = 17.424
26 × 52 × 11 = 17.600
53 × 11 × 13 = 17.875
24 × 32 × 53 = 18.000
2 × 3 × 52 × 112 = 18.150
27 × 11 × 13 = 18.304
25 × 32 × 5 × 13 = 18.720
22 × 3 × 112 × 13 = 18.876
28 × 3 × 52 = 19.200
25 × 5 × 112 = 19.360
22 × 3 × 53 × 13 = 19.500
23 × 32 × 52 × 11 = 19.800
3 × 5 × 113 = 19.965
29 × 3 × 13 = 19.968
25 × 54 = 20.000
24 × 32 × 11 × 13 = 20.592
3 × 54 × 11 = 20.625
26 × 52 × 13 = 20.800
27 × 3 × 5 × 11 = 21.120
24 × 113 = 21.296
2 × 3 × 52 × 11 × 13 = 21.450
22 × 32 × 5 × 112 = 21.780
24 × 53 × 11 = 22.000
22 × 32 × 54 = 22.500
25 × 5 × 11 × 13 = 22.880
29 × 32 × 5 = 23.040
26 × 3 × 112 = 23.232
23 × 32 × 52 × 13 = 23.400
3 × 5 × 112 × 13 = 23.595
2 × 32 × 113 = 23.958
26 × 3 × 53 = 24.000
23 × 52 × 112 = 24.200
3 × 54 × 13 = 24.375
2 × 32 × 53 × 11 = 24.750
27 × 3 × 5 × 13 = 24.960
24 × 112 × 13 = 25.168
28 × 32 × 11 = 25.344
22 × 32 × 5 × 11 × 13 = 25.740
24 × 53 × 13 = 26.000
25 × 3 × 52 × 11 = 26.400
22 × 5 × 113 = 26.620
32 × 52 × 112 = 27.225
26 × 3 × 11 × 13 = 27.456
22 × 54 × 11 = 27.500
29 × 5 × 11 = 28.160
2 × 32 × 112 × 13 = 28.314
23 × 52 × 11 × 13 = 28.600
27 × 32 × 52 = 28.800
24 × 3 × 5 × 112 = 29.040
2 × 32 × 53 × 13 = 29.250
28 × 32 × 13 = 29.952
24 × 3 × 54 = 30.000
2 × 53 × 112 = 30.250
28 × 112 = 30.976
25 × 3 × 52 × 13 = 31.200
22 × 5 × 112 × 13 = 31.460
26 × 32 × 5 × 11 = 31.680
23 × 3 × 113 = 31.944
28 × 53 = 32.000
32 × 52 × 11 × 13 = 32.175
22 × 54 × 13 = 32.500
23 × 3 × 53 × 11 = 33.000
52 × 113 = 33.275
29 × 5 × 13 = 33.280
24 × 3 × 5 × 11 × 13 = 34.320
2 × 113 × 13 = 34.606
25 × 32 × 112 = 34.848
27 × 52 × 11 = 35.200
2 × 53 × 11 × 13 = 35.750
25 × 32 × 53 = 36.000
22 × 3 × 52 × 112 = 36.300
28 × 11 × 13 = 36.608
26 × 32 × 5 × 13 = 37.440
23 × 3 × 112 × 13 = 37.752
29 × 3 × 52 = 38.400
26 × 5 × 112 = 38.720
23 × 3 × 53 × 13 = 39.000
52 × 112 × 13 = 39.325
24 × 32 × 52 × 11 = 39.600
2 × 3 × 5 × 113 = 39.930
26 × 54 = 40.000
25 × 32 × 11 × 13 = 41.184
2 × 3 × 54 × 11 = 41.250
27 × 52 × 13 = 41.600
28 × 3 × 5 × 11 = 42.240
25 × 113 = 42.592
22 × 3 × 52 × 11 × 13 = 42.900
23 × 32 × 5 × 112 = 43.560
25 × 53 × 11 = 44.000
23 × 32 × 54 = 45.000
3 × 53 × 112 = 45.375
26 × 5 × 11 × 13 = 45.760
27 × 3 × 112 = 46.464
24 × 32 × 52 × 13 = 46.800
2 × 3 × 5 × 112 × 13 = 47.190
22 × 32 × 113 = 47.916
27 × 3 × 53 = 48.000
24 × 52 × 112 = 48.400
2 × 3 × 54 × 13 = 48.750
22 × 32 × 53 × 11 = 49.500
28 × 3 × 5 × 13 = 49.920
25 × 112 × 13 = 50.336
29 × 32 × 11 = 50.688
23 × 32 × 5 × 11 × 13 = 51.480
3 × 113 × 13 = 51.909
25 × 53 × 13 = 52.000
26 × 3 × 52 × 11 = 52.800
23 × 5 × 113 = 53.240
3 × 53 × 11 × 13 = 53.625
2 × 32 × 52 × 112 = 54.450
27 × 3 × 11 × 13 = 54.912
23 × 54 × 11 = 55.000
22 × 32 × 112 × 13 = 56.628
24 × 52 × 11 × 13 = 57.200
28 × 32 × 52 = 57.600
25 × 3 × 5 × 112 = 58.080
22 × 32 × 53 × 13 = 58.500
32 × 5 × 113 = 59.895
29 × 32 × 13 = 59.904
25 × 3 × 54 = 60.000
22 × 53 × 112 = 60.500
32 × 54 × 11 = 61.875
29 × 112 = 61.952
26 × 3 × 52 × 13 = 62.400
23 × 5 × 112 × 13 = 62.920
27 × 32 × 5 × 11 = 63.360
24 × 3 × 113 = 63.888
29 × 53 = 64.000
2 × 32 × 52 × 11 × 13 = 64.350
23 × 54 × 13 = 65.000
24 × 3 × 53 × 11 = 66.000
2 × 52 × 113 = 66.550
25 × 3 × 5 × 11 × 13 = 68.640
22 × 113 × 13 = 69.212
26 × 32 × 112 = 69.696
28 × 52 × 11 = 70.400
32 × 5 × 112 × 13 = 70.785
22 × 53 × 11 × 13 = 71.500
26 × 32 × 53 = 72.000
23 × 3 × 52 × 112 = 72.600
32 × 54 × 13 = 73.125
29 × 11 × 13 = 73.216
27 × 32 × 5 × 13 = 74.880
24 × 3 × 112 × 13 = 75.504
54 × 112 = 75.625
27 × 5 × 112 = 77.440
24 × 3 × 53 × 13 = 78.000
2 × 52 × 112 × 13 = 78.650
25 × 32 × 52 × 11 = 79.200
22 × 3 × 5 × 113 = 79.860
27 × 54 = 80.000
26 × 32 × 11 × 13 = 82.368
22 × 3 × 54 × 11 = 82.500
28 × 52 × 13 = 83.200
29 × 3 × 5 × 11 = 84.480
26 × 113 = 85.184
23 × 3 × 52 × 11 × 13 = 85.800
5 × 113 × 13 = 86.515
24 × 32 × 5 × 112 = 87.120
26 × 53 × 11 = 88.000
54 × 11 × 13 = 89.375
24 × 32 × 54 = 90.000
2 × 3 × 53 × 112 = 90.750
27 × 5 × 11 × 13 = 91.520
28 × 3 × 112 = 92.928
25 × 32 × 52 × 13 = 93.600
22 × 3 × 5 × 112 × 13 = 94.380
23 × 32 × 113 = 95.832
28 × 3 × 53 = 96.000
25 × 52 × 112 = 96.800
22 × 3 × 54 × 13 = 97.500
23 × 32 × 53 × 11 = 99.000
3 × 52 × 113 = 99.825
29 × 3 × 5 × 13 = 99.840
26 × 112 × 13 = 100.672
24 × 32 × 5 × 11 × 13 = 102.960
2 × 3 × 113 × 13 = 103.818
26 × 53 × 13 = 104.000
27 × 3 × 52 × 11 = 105.600
24 × 5 × 113 = 106.480
2 × 3 × 53 × 11 × 13 = 107.250
22 × 32 × 52 × 112 = 108.900
28 × 3 × 11 × 13 = 109.824
24 × 54 × 11 = 110.000
23 × 32 × 112 × 13 = 113.256
25 × 52 × 11 × 13 = 114.400
29 × 32 × 52 = 115.200
26 × 3 × 5 × 112 = 116.160
23 × 32 × 53 × 13 = 117.000
3 × 52 × 112 × 13 = 117.975
2 × 32 × 5 × 113 = 119.790
26 × 3 × 54 = 120.000
23 × 53 × 112 = 121.000
2 × 32 × 54 × 11 = 123.750
27 × 3 × 52 × 13 = 124.800
24 × 5 × 112 × 13 = 125.840
28 × 32 × 5 × 11 = 126.720
25 × 3 × 113 = 127.776
22 × 32 × 52 × 11 × 13 = 128.700
24 × 54 × 13 = 130.000
25 × 3 × 53 × 11 = 132.000
22 × 52 × 113 = 133.100
32 × 53 × 112 = 136.125
26 × 3 × 5 × 11 × 13 = 137.280
23 × 113 × 13 = 138.424
27 × 32 × 112 = 139.392
29 × 52 × 11 = 140.800
2 × 32 × 5 × 112 × 13 = 141.570
23 × 53 × 11 × 13 = 143.000
27 × 32 × 53 = 144.000
24 × 3 × 52 × 112 = 145.200
2 × 32 × 54 × 13 = 146.250
28 × 32 × 5 × 13 = 149.760
25 × 3 × 112 × 13 = 151.008
2 × 54 × 112 = 151.250
28 × 5 × 112 = 154.880
32 × 113 × 13 = 155.727
25 × 3 × 53 × 13 = 156.000
22 × 52 × 112 × 13 = 157.300
26 × 32 × 52 × 11 = 158.400
23 × 3 × 5 × 113 = 159.720
28 × 54 = 160.000
32 × 53 × 11 × 13 = 160.875
27 × 32 × 11 × 13 = 164.736
23 × 3 × 54 × 11 = 165.000
53 × 113 = 166.375
29 × 52 × 13 = 166.400
27 × 113 = 170.368
24 × 3 × 52 × 11 × 13 = 171.600
2 × 5 × 113 × 13 = 173.030
25 × 32 × 5 × 112 = 174.240
27 × 53 × 11 = 176.000
2 × 54 × 11 × 13 = 178.750
25 × 32 × 54 = 180.000
22 × 3 × 53 × 112 = 181.500
28 × 5 × 11 × 13 = 183.040
29 × 3 × 112 = 185.856
26 × 32 × 52 × 13 = 187.200
23 × 3 × 5 × 112 × 13 = 188.760
24 × 32 × 113 = 191.664
29 × 3 × 53 = 192.000
26 × 52 × 112 = 193.600
23 × 3 × 54 × 13 = 195.000
53 × 112 × 13 = 196.625
24 × 32 × 53 × 11 = 198.000
2 × 3 × 52 × 113 = 199.650
27 × 112 × 13 = 201.344
25 × 32 × 5 × 11 × 13 = 205.920
22 × 3 × 113 × 13 = 207.636
27 × 53 × 13 = 208.000
28 × 3 × 52 × 11 = 211.200
25 × 5 × 113 = 212.960
22 × 3 × 53 × 11 × 13 = 214.500
23 × 32 × 52 × 112 = 217.800
29 × 3 × 11 × 13 = 219.648
25 × 54 × 11 = 220.000
Cette liste continue ci-dessous...

... Cette liste continue d'en haut
24 × 32 × 112 × 13 = 226.512
3 × 54 × 112 = 226.875
26 × 52 × 11 × 13 = 228.800
27 × 3 × 5 × 112 = 232.320
24 × 32 × 53 × 13 = 234.000
2 × 3 × 52 × 112 × 13 = 235.950
22 × 32 × 5 × 113 = 239.580
27 × 3 × 54 = 240.000
24 × 53 × 112 = 242.000
22 × 32 × 54 × 11 = 247.500
28 × 3 × 52 × 13 = 249.600
25 × 5 × 112 × 13 = 251.680
29 × 32 × 5 × 11 = 253.440
26 × 3 × 113 = 255.552
23 × 32 × 52 × 11 × 13 = 257.400
3 × 5 × 113 × 13 = 259.545
25 × 54 × 13 = 260.000
26 × 3 × 53 × 11 = 264.000
23 × 52 × 113 = 266.200
3 × 54 × 11 × 13 = 268.125
2 × 32 × 53 × 112 = 272.250
27 × 3 × 5 × 11 × 13 = 274.560
24 × 113 × 13 = 276.848
28 × 32 × 112 = 278.784
22 × 32 × 5 × 112 × 13 = 283.140
24 × 53 × 11 × 13 = 286.000
28 × 32 × 53 = 288.000
25 × 3 × 52 × 112 = 290.400
22 × 32 × 54 × 13 = 292.500
32 × 52 × 113 = 299.475
29 × 32 × 5 × 13 = 299.520
26 × 3 × 112 × 13 = 302.016
22 × 54 × 112 = 302.500
29 × 5 × 112 = 309.760
2 × 32 × 113 × 13 = 311.454
26 × 3 × 53 × 13 = 312.000
23 × 52 × 112 × 13 = 314.600
27 × 32 × 52 × 11 = 316.800
24 × 3 × 5 × 113 = 319.440
29 × 54 = 320.000
2 × 32 × 53 × 11 × 13 = 321.750
28 × 32 × 11 × 13 = 329.472
24 × 3 × 54 × 11 = 330.000
2 × 53 × 113 = 332.750
28 × 113 = 340.736
25 × 3 × 52 × 11 × 13 = 343.200
22 × 5 × 113 × 13 = 346.060
26 × 32 × 5 × 112 = 348.480
28 × 53 × 11 = 352.000
32 × 52 × 112 × 13 = 353.925
22 × 54 × 11 × 13 = 357.500
26 × 32 × 54 = 360.000
23 × 3 × 53 × 112 = 363.000
29 × 5 × 11 × 13 = 366.080
27 × 32 × 52 × 13 = 374.400
24 × 3 × 5 × 112 × 13 = 377.520
25 × 32 × 113 = 383.328
27 × 52 × 112 = 387.200
24 × 3 × 54 × 13 = 390.000
2 × 53 × 112 × 13 = 393.250
25 × 32 × 53 × 11 = 396.000
22 × 3 × 52 × 113 = 399.300
28 × 112 × 13 = 402.688
26 × 32 × 5 × 11 × 13 = 411.840
23 × 3 × 113 × 13 = 415.272
28 × 53 × 13 = 416.000
29 × 3 × 52 × 11 = 422.400
26 × 5 × 113 = 425.920
23 × 3 × 53 × 11 × 13 = 429.000
52 × 113 × 13 = 432.575
24 × 32 × 52 × 112 = 435.600
26 × 54 × 11 = 440.000
25 × 32 × 112 × 13 = 453.024
2 × 3 × 54 × 112 = 453.750
27 × 52 × 11 × 13 = 457.600
28 × 3 × 5 × 112 = 464.640
25 × 32 × 53 × 13 = 468.000
22 × 3 × 52 × 112 × 13 = 471.900
23 × 32 × 5 × 113 = 479.160
28 × 3 × 54 = 480.000
25 × 53 × 112 = 484.000
23 × 32 × 54 × 11 = 495.000
3 × 53 × 113 = 499.125
29 × 3 × 52 × 13 = 499.200
26 × 5 × 112 × 13 = 503.360
27 × 3 × 113 = 511.104
24 × 32 × 52 × 11 × 13 = 514.800
2 × 3 × 5 × 113 × 13 = 519.090
26 × 54 × 13 = 520.000
27 × 3 × 53 × 11 = 528.000
24 × 52 × 113 = 532.400
2 × 3 × 54 × 11 × 13 = 536.250
22 × 32 × 53 × 112 = 544.500
28 × 3 × 5 × 11 × 13 = 549.120
25 × 113 × 13 = 553.696
29 × 32 × 112 = 557.568
23 × 32 × 5 × 112 × 13 = 566.280
25 × 53 × 11 × 13 = 572.000
29 × 32 × 53 = 576.000
26 × 3 × 52 × 112 = 580.800
23 × 32 × 54 × 13 = 585.000
3 × 53 × 112 × 13 = 589.875
2 × 32 × 52 × 113 = 598.950
27 × 3 × 112 × 13 = 604.032
23 × 54 × 112 = 605.000
22 × 32 × 113 × 13 = 622.908
27 × 3 × 53 × 13 = 624.000
24 × 52 × 112 × 13 = 629.200
28 × 32 × 52 × 11 = 633.600
25 × 3 × 5 × 113 = 638.880
22 × 32 × 53 × 11 × 13 = 643.500
29 × 32 × 11 × 13 = 658.944
25 × 3 × 54 × 11 = 660.000
22 × 53 × 113 = 665.500
32 × 54 × 112 = 680.625
29 × 113 = 681.472
26 × 3 × 52 × 11 × 13 = 686.400
23 × 5 × 113 × 13 = 692.120
27 × 32 × 5 × 112 = 696.960
29 × 53 × 11 = 704.000
2 × 32 × 52 × 112 × 13 = 707.850
23 × 54 × 11 × 13 = 715.000
27 × 32 × 54 = 720.000
24 × 3 × 53 × 112 = 726.000
28 × 32 × 52 × 13 = 748.800
25 × 3 × 5 × 112 × 13 = 755.040
26 × 32 × 113 = 766.656
28 × 52 × 112 = 774.400
32 × 5 × 113 × 13 = 778.635
25 × 3 × 54 × 13 = 780.000
22 × 53 × 112 × 13 = 786.500
26 × 32 × 53 × 11 = 792.000
23 × 3 × 52 × 113 = 798.600
32 × 54 × 11 × 13 = 804.375
29 × 112 × 13 = 805.376
27 × 32 × 5 × 11 × 13 = 823.680
24 × 3 × 113 × 13 = 830.544
54 × 113 = 831.875
29 × 53 × 13 = 832.000
27 × 5 × 113 = 851.840
24 × 3 × 53 × 11 × 13 = 858.000
2 × 52 × 113 × 13 = 865.150
25 × 32 × 52 × 112 = 871.200
27 × 54 × 11 = 880.000
26 × 32 × 112 × 13 = 906.048
22 × 3 × 54 × 112 = 907.500
28 × 52 × 11 × 13 = 915.200
29 × 3 × 5 × 112 = 929.280
26 × 32 × 53 × 13 = 936.000
23 × 3 × 52 × 112 × 13 = 943.800
24 × 32 × 5 × 113 = 958.320
29 × 3 × 54 = 960.000
26 × 53 × 112 = 968.000
54 × 112 × 13 = 983.125
24 × 32 × 54 × 11 = 990.000
2 × 3 × 53 × 113 = 998.250
27 × 5 × 112 × 13 = 1.006.720
28 × 3 × 113 = 1.022.208
25 × 32 × 52 × 11 × 13 = 1.029.600
22 × 3 × 5 × 113 × 13 = 1.038.180
27 × 54 × 13 = 1.040.000
28 × 3 × 53 × 11 = 1.056.000
25 × 52 × 113 = 1.064.800
22 × 3 × 54 × 11 × 13 = 1.072.500
23 × 32 × 53 × 112 = 1.089.000
29 × 3 × 5 × 11 × 13 = 1.098.240
26 × 113 × 13 = 1.107.392
24 × 32 × 5 × 112 × 13 = 1.132.560
26 × 53 × 11 × 13 = 1.144.000
27 × 3 × 52 × 112 = 1.161.600
24 × 32 × 54 × 13 = 1.170.000
2 × 3 × 53 × 112 × 13 = 1.179.750
22 × 32 × 52 × 113 = 1.197.900
28 × 3 × 112 × 13 = 1.208.064
24 × 54 × 112 = 1.210.000
23 × 32 × 113 × 13 = 1.245.816
28 × 3 × 53 × 13 = 1.248.000
25 × 52 × 112 × 13 = 1.258.400
29 × 32 × 52 × 11 = 1.267.200
26 × 3 × 5 × 113 = 1.277.760
23 × 32 × 53 × 11 × 13 = 1.287.000
3 × 52 × 113 × 13 = 1.297.725
26 × 3 × 54 × 11 = 1.320.000
23 × 53 × 113 = 1.331.000
2 × 32 × 54 × 112 = 1.361.250
27 × 3 × 52 × 11 × 13 = 1.372.800
24 × 5 × 113 × 13 = 1.384.240
28 × 32 × 5 × 112 = 1.393.920
22 × 32 × 52 × 112 × 13 = 1.415.700
24 × 54 × 11 × 13 = 1.430.000
28 × 32 × 54 = 1.440.000
25 × 3 × 53 × 112 = 1.452.000
32 × 53 × 113 = 1.497.375
29 × 32 × 52 × 13 = 1.497.600
26 × 3 × 5 × 112 × 13 = 1.510.080
27 × 32 × 113 = 1.533.312
29 × 52 × 112 = 1.548.800
2 × 32 × 5 × 113 × 13 = 1.557.270
26 × 3 × 54 × 13 = 1.560.000
23 × 53 × 112 × 13 = 1.573.000
27 × 32 × 53 × 11 = 1.584.000
24 × 3 × 52 × 113 = 1.597.200
2 × 32 × 54 × 11 × 13 = 1.608.750
28 × 32 × 5 × 11 × 13 = 1.647.360
25 × 3 × 113 × 13 = 1.661.088
2 × 54 × 113 = 1.663.750
28 × 5 × 113 = 1.703.680
25 × 3 × 53 × 11 × 13 = 1.716.000
22 × 52 × 113 × 13 = 1.730.300
26 × 32 × 52 × 112 = 1.742.400
28 × 54 × 11 = 1.760.000
32 × 53 × 112 × 13 = 1.769.625
27 × 32 × 112 × 13 = 1.812.096
23 × 3 × 54 × 112 = 1.815.000
29 × 52 × 11 × 13 = 1.830.400
27 × 32 × 53 × 13 = 1.872.000
24 × 3 × 52 × 112 × 13 = 1.887.600
25 × 32 × 5 × 113 = 1.916.640
27 × 53 × 112 = 1.936.000
2 × 54 × 112 × 13 = 1.966.250
25 × 32 × 54 × 11 = 1.980.000
22 × 3 × 53 × 113 = 1.996.500
28 × 5 × 112 × 13 = 2.013.440
29 × 3 × 113 = 2.044.416
26 × 32 × 52 × 11 × 13 = 2.059.200
23 × 3 × 5 × 113 × 13 = 2.076.360
28 × 54 × 13 = 2.080.000
29 × 3 × 53 × 11 = 2.112.000
26 × 52 × 113 = 2.129.600
23 × 3 × 54 × 11 × 13 = 2.145.000
53 × 113 × 13 = 2.162.875
24 × 32 × 53 × 112 = 2.178.000
27 × 113 × 13 = 2.214.784
25 × 32 × 5 × 112 × 13 = 2.265.120
27 × 53 × 11 × 13 = 2.288.000
28 × 3 × 52 × 112 = 2.323.200
25 × 32 × 54 × 13 = 2.340.000
22 × 3 × 53 × 112 × 13 = 2.359.500
23 × 32 × 52 × 113 = 2.395.800
29 × 3 × 112 × 13 = 2.416.128
25 × 54 × 112 = 2.420.000
24 × 32 × 113 × 13 = 2.491.632
3 × 54 × 113 = 2.495.625
29 × 3 × 53 × 13 = 2.496.000
26 × 52 × 112 × 13 = 2.516.800
27 × 3 × 5 × 113 = 2.555.520
24 × 32 × 53 × 11 × 13 = 2.574.000
2 × 3 × 52 × 113 × 13 = 2.595.450
27 × 3 × 54 × 11 = 2.640.000
24 × 53 × 113 = 2.662.000
22 × 32 × 54 × 112 = 2.722.500
28 × 3 × 52 × 11 × 13 = 2.745.600
25 × 5 × 113 × 13 = 2.768.480
29 × 32 × 5 × 112 = 2.787.840
23 × 32 × 52 × 112 × 13 = 2.831.400
25 × 54 × 11 × 13 = 2.860.000
29 × 32 × 54 = 2.880.000
26 × 3 × 53 × 112 = 2.904.000
3 × 54 × 112 × 13 = 2.949.375
2 × 32 × 53 × 113 = 2.994.750
27 × 3 × 5 × 112 × 13 = 3.020.160
28 × 32 × 113 = 3.066.624
22 × 32 × 5 × 113 × 13 = 3.114.540
27 × 3 × 54 × 13 = 3.120.000
24 × 53 × 112 × 13 = 3.146.000
28 × 32 × 53 × 11 = 3.168.000
25 × 3 × 52 × 113 = 3.194.400
22 × 32 × 54 × 11 × 13 = 3.217.500
29 × 32 × 5 × 11 × 13 = 3.294.720
26 × 3 × 113 × 13 = 3.322.176
22 × 54 × 113 = 3.327.500
29 × 5 × 113 = 3.407.360
26 × 3 × 53 × 11 × 13 = 3.432.000
23 × 52 × 113 × 13 = 3.460.600
27 × 32 × 52 × 112 = 3.484.800
29 × 54 × 11 = 3.520.000
2 × 32 × 53 × 112 × 13 = 3.539.250
28 × 32 × 112 × 13 = 3.624.192
24 × 3 × 54 × 112 = 3.630.000
28 × 32 × 53 × 13 = 3.744.000
25 × 3 × 52 × 112 × 13 = 3.775.200
26 × 32 × 5 × 113 = 3.833.280
28 × 53 × 112 = 3.872.000
32 × 52 × 113 × 13 = 3.893.175
22 × 54 × 112 × 13 = 3.932.500
26 × 32 × 54 × 11 = 3.960.000
23 × 3 × 53 × 113 = 3.993.000
29 × 5 × 112 × 13 = 4.026.880
27 × 32 × 52 × 11 × 13 = 4.118.400
24 × 3 × 5 × 113 × 13 = 4.152.720
29 × 54 × 13 = 4.160.000
27 × 52 × 113 = 4.259.200
24 × 3 × 54 × 11 × 13 = 4.290.000
2 × 53 × 113 × 13 = 4.325.750
25 × 32 × 53 × 112 = 4.356.000
28 × 113 × 13 = 4.429.568
26 × 32 × 5 × 112 × 13 = 4.530.240
28 × 53 × 11 × 13 = 4.576.000
29 × 3 × 52 × 112 = 4.646.400
26 × 32 × 54 × 13 = 4.680.000
23 × 3 × 53 × 112 × 13 = 4.719.000
24 × 32 × 52 × 113 = 4.791.600
26 × 54 × 112 = 4.840.000
25 × 32 × 113 × 13 = 4.983.264
2 × 3 × 54 × 113 = 4.991.250
27 × 52 × 112 × 13 = 5.033.600
28 × 3 × 5 × 113 = 5.111.040
25 × 32 × 53 × 11 × 13 = 5.148.000
22 × 3 × 52 × 113 × 13 = 5.190.900
28 × 3 × 54 × 11 = 5.280.000
25 × 53 × 113 = 5.324.000
23 × 32 × 54 × 112 = 5.445.000
29 × 3 × 52 × 11 × 13 = 5.491.200
26 × 5 × 113 × 13 = 5.536.960
24 × 32 × 52 × 112 × 13 = 5.662.800
26 × 54 × 11 × 13 = 5.720.000
27 × 3 × 53 × 112 = 5.808.000
2 × 3 × 54 × 112 × 13 = 5.898.750
22 × 32 × 53 × 113 = 5.989.500
28 × 3 × 5 × 112 × 13 = 6.040.320
29 × 32 × 113 = 6.133.248
23 × 32 × 5 × 113 × 13 = 6.229.080
28 × 3 × 54 × 13 = 6.240.000
25 × 53 × 112 × 13 = 6.292.000
29 × 32 × 53 × 11 = 6.336.000
26 × 3 × 52 × 113 = 6.388.800
23 × 32 × 54 × 11 × 13 = 6.435.000
3 × 53 × 113 × 13 = 6.488.625
27 × 3 × 113 × 13 = 6.644.352
23 × 54 × 113 = 6.655.000
27 × 3 × 53 × 11 × 13 = 6.864.000
24 × 52 × 113 × 13 = 6.921.200
28 × 32 × 52 × 112 = 6.969.600
22 × 32 × 53 × 112 × 13 = 7.078.500
29 × 32 × 112 × 13 = 7.248.384
25 × 3 × 54 × 112 = 7.260.000
32 × 54 × 113 = 7.486.875
29 × 32 × 53 × 13 = 7.488.000
26 × 3 × 52 × 112 × 13 = 7.550.400
27 × 32 × 5 × 113 = 7.666.560
29 × 53 × 112 = 7.744.000
2 × 32 × 52 × 113 × 13 = 7.786.350
23 × 54 × 112 × 13 = 7.865.000
27 × 32 × 54 × 11 = 7.920.000
24 × 3 × 53 × 113 = 7.986.000
28 × 32 × 52 × 11 × 13 = 8.236.800
25 × 3 × 5 × 113 × 13 = 8.305.440
28 × 52 × 113 = 8.518.400
25 × 3 × 54 × 11 × 13 = 8.580.000
22 × 53 × 113 × 13 = 8.651.500
26 × 32 × 53 × 112 = 8.712.000
32 × 54 × 112 × 13 = 8.848.125
29 × 113 × 13 = 8.859.136
27 × 32 × 5 × 112 × 13 = 9.060.480
29 × 53 × 11 × 13 = 9.152.000
27 × 32 × 54 × 13 = 9.360.000
24 × 3 × 53 × 112 × 13 = 9.438.000
25 × 32 × 52 × 113 = 9.583.200
27 × 54 × 112 = 9.680.000
26 × 32 × 113 × 13 = 9.966.528
22 × 3 × 54 × 113 = 9.982.500
28 × 52 × 112 × 13 = 10.067.200
29 × 3 × 5 × 113 = 10.222.080
26 × 32 × 53 × 11 × 13 = 10.296.000
23 × 3 × 52 × 113 × 13 = 10.381.800
29 × 3 × 54 × 11 = 10.560.000
26 × 53 × 113 = 10.648.000
54 × 113 × 13 = 10.814.375
24 × 32 × 54 × 112 = 10.890.000
27 × 5 × 113 × 13 = 11.073.920
25 × 32 × 52 × 112 × 13 = 11.325.600
27 × 54 × 11 × 13 = 11.440.000
28 × 3 × 53 × 112 = 11.616.000
22 × 3 × 54 × 112 × 13 = 11.797.500
23 × 32 × 53 × 113 = 11.979.000
29 × 3 × 5 × 112 × 13 = 12.080.640
24 × 32 × 5 × 113 × 13 = 12.458.160
29 × 3 × 54 × 13 = 12.480.000
26 × 53 × 112 × 13 = 12.584.000
27 × 3 × 52 × 113 = 12.777.600
24 × 32 × 54 × 11 × 13 = 12.870.000
2 × 3 × 53 × 113 × 13 = 12.977.250
28 × 3 × 113 × 13 = 13.288.704
24 × 54 × 113 = 13.310.000
28 × 3 × 53 × 11 × 13 = 13.728.000
25 × 52 × 113 × 13 = 13.842.400
29 × 32 × 52 × 112 = 13.939.200
23 × 32 × 53 × 112 × 13 = 14.157.000
26 × 3 × 54 × 112 = 14.520.000
2 × 32 × 54 × 113 = 14.973.750
27 × 3 × 52 × 112 × 13 = 15.100.800
28 × 32 × 5 × 113 = 15.333.120
22 × 32 × 52 × 113 × 13 = 15.572.700
24 × 54 × 112 × 13 = 15.730.000
28 × 32 × 54 × 11 = 15.840.000
25 × 3 × 53 × 113 = 15.972.000
29 × 32 × 52 × 11 × 13 = 16.473.600
26 × 3 × 5 × 113 × 13 = 16.610.880
29 × 52 × 113 = 17.036.800
26 × 3 × 54 × 11 × 13 = 17.160.000
23 × 53 × 113 × 13 = 17.303.000
27 × 32 × 53 × 112 = 17.424.000
2 × 32 × 54 × 112 × 13 = 17.696.250
28 × 32 × 5 × 112 × 13 = 18.120.960
28 × 32 × 54 × 13 = 18.720.000
25 × 3 × 53 × 112 × 13 = 18.876.000
26 × 32 × 52 × 113 = 19.166.400
28 × 54 × 112 = 19.360.000
32 × 53 × 113 × 13 = 19.465.875
27 × 32 × 113 × 13 = 19.933.056
23 × 3 × 54 × 113 = 19.965.000
29 × 52 × 112 × 13 = 20.134.400
27 × 32 × 53 × 11 × 13 = 20.592.000
24 × 3 × 52 × 113 × 13 = 20.763.600
27 × 53 × 113 = 21.296.000
2 × 54 × 113 × 13 = 21.628.750
25 × 32 × 54 × 112 = 21.780.000
28 × 5 × 113 × 13 = 22.147.840
26 × 32 × 52 × 112 × 13 = 22.651.200
28 × 54 × 11 × 13 = 22.880.000
29 × 3 × 53 × 112 = 23.232.000
23 × 3 × 54 × 112 × 13 = 23.595.000
24 × 32 × 53 × 113 = 23.958.000
25 × 32 × 5 × 113 × 13 = 24.916.320
27 × 53 × 112 × 13 = 25.168.000
28 × 3 × 52 × 113 = 25.555.200
25 × 32 × 54 × 11 × 13 = 25.740.000
22 × 3 × 53 × 113 × 13 = 25.954.500
29 × 3 × 113 × 13 = 26.577.408
25 × 54 × 113 = 26.620.000
29 × 3 × 53 × 11 × 13 = 27.456.000
26 × 52 × 113 × 13 = 27.684.800
24 × 32 × 53 × 112 × 13 = 28.314.000
27 × 3 × 54 × 112 = 29.040.000
22 × 32 × 54 × 113 = 29.947.500
28 × 3 × 52 × 112 × 13 = 30.201.600
29 × 32 × 5 × 113 = 30.666.240
23 × 32 × 52 × 113 × 13 = 31.145.400
25 × 54 × 112 × 13 = 31.460.000
29 × 32 × 54 × 11 = 31.680.000
26 × 3 × 53 × 113 = 31.944.000
3 × 54 × 113 × 13 = 32.443.125
27 × 3 × 5 × 113 × 13 = 33.221.760
27 × 3 × 54 × 11 × 13 = 34.320.000
24 × 53 × 113 × 13 = 34.606.000
28 × 32 × 53 × 112 = 34.848.000
22 × 32 × 54 × 112 × 13 = 35.392.500
29 × 32 × 5 × 112 × 13 = 36.241.920
29 × 32 × 54 × 13 = 37.440.000
26 × 3 × 53 × 112 × 13 = 37.752.000
27 × 32 × 52 × 113 = 38.332.800
29 × 54 × 112 = 38.720.000
2 × 32 × 53 × 113 × 13 = 38.931.750
28 × 32 × 113 × 13 = 39.866.112
24 × 3 × 54 × 113 = 39.930.000
28 × 32 × 53 × 11 × 13 = 41.184.000
25 × 3 × 52 × 113 × 13 = 41.527.200
28 × 53 × 113 = 42.592.000
22 × 54 × 113 × 13 = 43.257.500
26 × 32 × 54 × 112 = 43.560.000
29 × 5 × 113 × 13 = 44.295.680
27 × 32 × 52 × 112 × 13 = 45.302.400
29 × 54 × 11 × 13 = 45.760.000
24 × 3 × 54 × 112 × 13 = 47.190.000
25 × 32 × 53 × 113 = 47.916.000
26 × 32 × 5 × 113 × 13 = 49.832.640
28 × 53 × 112 × 13 = 50.336.000
29 × 3 × 52 × 113 = 51.110.400
26 × 32 × 54 × 11 × 13 = 51.480.000
23 × 3 × 53 × 113 × 13 = 51.909.000
26 × 54 × 113 = 53.240.000
27 × 52 × 113 × 13 = 55.369.600
25 × 32 × 53 × 112 × 13 = 56.628.000
28 × 3 × 54 × 112 = 58.080.000
23 × 32 × 54 × 113 = 59.895.000
29 × 3 × 52 × 112 × 13 = 60.403.200
24 × 32 × 52 × 113 × 13 = 62.290.800
26 × 54 × 112 × 13 = 62.920.000
27 × 3 × 53 × 113 = 63.888.000
2 × 3 × 54 × 113 × 13 = 64.886.250
28 × 3 × 5 × 113 × 13 = 66.443.520
28 × 3 × 54 × 11 × 13 = 68.640.000
25 × 53 × 113 × 13 = 69.212.000
29 × 32 × 53 × 112 = 69.696.000
23 × 32 × 54 × 112 × 13 = 70.785.000
27 × 3 × 53 × 112 × 13 = 75.504.000
28 × 32 × 52 × 113 = 76.665.600
22 × 32 × 53 × 113 × 13 = 77.863.500
29 × 32 × 113 × 13 = 79.732.224
25 × 3 × 54 × 113 = 79.860.000
29 × 32 × 53 × 11 × 13 = 82.368.000
26 × 3 × 52 × 113 × 13 = 83.054.400
29 × 53 × 113 = 85.184.000
23 × 54 × 113 × 13 = 86.515.000
27 × 32 × 54 × 112 = 87.120.000
28 × 32 × 52 × 112 × 13 = 90.604.800
25 × 3 × 54 × 112 × 13 = 94.380.000
26 × 32 × 53 × 113 = 95.832.000
32 × 54 × 113 × 13 = 97.329.375
27 × 32 × 5 × 113 × 13 = 99.665.280
29 × 53 × 112 × 13 = 100.672.000
27 × 32 × 54 × 11 × 13 = 102.960.000
24 × 3 × 53 × 113 × 13 = 103.818.000
27 × 54 × 113 = 106.480.000
28 × 52 × 113 × 13 = 110.739.200
26 × 32 × 53 × 112 × 13 = 113.256.000
29 × 3 × 54 × 112 = 116.160.000
24 × 32 × 54 × 113 = 119.790.000
25 × 32 × 52 × 113 × 13 = 124.581.600
27 × 54 × 112 × 13 = 125.840.000
28 × 3 × 53 × 113 = 127.776.000
22 × 3 × 54 × 113 × 13 = 129.772.500
29 × 3 × 5 × 113 × 13 = 132.887.040
29 × 3 × 54 × 11 × 13 = 137.280.000
26 × 53 × 113 × 13 = 138.424.000
24 × 32 × 54 × 112 × 13 = 141.570.000
28 × 3 × 53 × 112 × 13 = 151.008.000
29 × 32 × 52 × 113 = 153.331.200
23 × 32 × 53 × 113 × 13 = 155.727.000
26 × 3 × 54 × 113 = 159.720.000
27 × 3 × 52 × 113 × 13 = 166.108.800
24 × 54 × 113 × 13 = 173.030.000
28 × 32 × 54 × 112 = 174.240.000
29 × 32 × 52 × 112 × 13 = 181.209.600
26 × 3 × 54 × 112 × 13 = 188.760.000
27 × 32 × 53 × 113 = 191.664.000
2 × 32 × 54 × 113 × 13 = 194.658.750
28 × 32 × 5 × 113 × 13 = 199.330.560
28 × 32 × 54 × 11 × 13 = 205.920.000
25 × 3 × 53 × 113 × 13 = 207.636.000
28 × 54 × 113 = 212.960.000
29 × 52 × 113 × 13 = 221.478.400
27 × 32 × 53 × 112 × 13 = 226.512.000
25 × 32 × 54 × 113 = 239.580.000
26 × 32 × 52 × 113 × 13 = 249.163.200
28 × 54 × 112 × 13 = 251.680.000
29 × 3 × 53 × 113 = 255.552.000
23 × 3 × 54 × 113 × 13 = 259.545.000
27 × 53 × 113 × 13 = 276.848.000
25 × 32 × 54 × 112 × 13 = 283.140.000
29 × 3 × 53 × 112 × 13 = 302.016.000
24 × 32 × 53 × 113 × 13 = 311.454.000
27 × 3 × 54 × 113 = 319.440.000
28 × 3 × 52 × 113 × 13 = 332.217.600
25 × 54 × 113 × 13 = 346.060.000
29 × 32 × 54 × 112 = 348.480.000
27 × 3 × 54 × 112 × 13 = 377.520.000
28 × 32 × 53 × 113 = 383.328.000
22 × 32 × 54 × 113 × 13 = 389.317.500
29 × 32 × 5 × 113 × 13 = 398.661.120
29 × 32 × 54 × 11 × 13 = 411.840.000
26 × 3 × 53 × 113 × 13 = 415.272.000
29 × 54 × 113 = 425.920.000
28 × 32 × 53 × 112 × 13 = 453.024.000
26 × 32 × 54 × 113 = 479.160.000
27 × 32 × 52 × 113 × 13 = 498.326.400
29 × 54 × 112 × 13 = 503.360.000
24 × 3 × 54 × 113 × 13 = 519.090.000
28 × 53 × 113 × 13 = 553.696.000
26 × 32 × 54 × 112 × 13 = 566.280.000
25 × 32 × 53 × 113 × 13 = 622.908.000
28 × 3 × 54 × 113 = 638.880.000
29 × 3 × 52 × 113 × 13 = 664.435.200
26 × 54 × 113 × 13 = 692.120.000
28 × 3 × 54 × 112 × 13 = 755.040.000
29 × 32 × 53 × 113 = 766.656.000
23 × 32 × 54 × 113 × 13 = 778.635.000
27 × 3 × 53 × 113 × 13 = 830.544.000
29 × 32 × 53 × 112 × 13 = 906.048.000
27 × 32 × 54 × 113 = 958.320.000
28 × 32 × 52 × 113 × 13 = 996.652.800
25 × 3 × 54 × 113 × 13 = 1.038.180.000
29 × 53 × 113 × 13 = 1.107.392.000
27 × 32 × 54 × 112 × 13 = 1.132.560.000
26 × 32 × 53 × 113 × 13 = 1.245.816.000
29 × 3 × 54 × 113 = 1.277.760.000
27 × 54 × 113 × 13 = 1.384.240.000
29 × 3 × 54 × 112 × 13 = 1.510.080.000
24 × 32 × 54 × 113 × 13 = 1.557.270.000
28 × 3 × 53 × 113 × 13 = 1.661.088.000
28 × 32 × 54 × 113 = 1.916.640.000
29 × 32 × 52 × 113 × 13 = 1.993.305.600
26 × 3 × 54 × 113 × 13 = 2.076.360.000
28 × 32 × 54 × 112 × 13 = 2.265.120.000
27 × 32 × 53 × 113 × 13 = 2.491.632.000
28 × 54 × 113 × 13 = 2.768.480.000
25 × 32 × 54 × 113 × 13 = 3.114.540.000
29 × 3 × 53 × 113 × 13 = 3.322.176.000
29 × 32 × 54 × 113 = 3.833.280.000
27 × 3 × 54 × 113 × 13 = 4.152.720.000
29 × 32 × 54 × 112 × 13 = 4.530.240.000
28 × 32 × 53 × 113 × 13 = 4.983.264.000
29 × 54 × 113 × 13 = 5.536.960.000
26 × 32 × 54 × 113 × 13 = 6.229.080.000
28 × 3 × 54 × 113 × 13 = 8.305.440.000
29 × 32 × 53 × 113 × 13 = 9.966.528.000
27 × 32 × 54 × 113 × 13 = 12.458.160.000
29 × 3 × 54 × 113 × 13 = 16.610.880.000
28 × 32 × 54 × 113 × 13 = 24.916.320.000
29 × 32 × 54 × 113 × 13 = 49.832.640.000

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49.832.640.000 a 1.200 diviseurs:
1; 2; 3; 4; 5; 6; 8; 9; 10; 11; 12; 13; 15; 16; 18; 20; 22; 24; 25; 26; 30; 32; 33; 36; 39; 40; 44; 45; 48; 50; 52; 55; 60; 64; 65; 66; 72; 75; 78; 80; 88; 90; 96; 99; 100; 104; 110; 117; 120; 121; 125; 128; 130; 132; 143; 144; 150; 156; 160; 165; 176; 180; 192; 195; 198; 200; 208; 220; 225; 234; 240; 242; 250; 256; 260; 264; 275; 286; 288; 300; 312; 320; 325; 330; 352; 360; 363; 375; 384; 390; 396; 400; 416; 429; 440; 450; 468; 480; 484; 495; 500; 512; 520; 528; 550; 572; 576; 585; 600; 605; 624; 625; 640; 650; 660; 704; 715; 720; 726; 750; 768; 780; 792; 800; 825; 832; 858; 880; 900; 936; 960; 968; 975; 990; 1.000; 1.040; 1.056; 1.089; 1.100; 1.125; 1.144; 1.152; 1.170; 1.200; 1.210; 1.248; 1.250; 1.280; 1.287; 1.300; 1.320; 1.331; 1.375; 1.408; 1.430; 1.440; 1.452; 1.500; 1.536; 1.560; 1.573; 1.584; 1.600; 1.625; 1.650; 1.664; 1.716; 1.760; 1.800; 1.815; 1.872; 1.875; 1.920; 1.936; 1.950; 1.980; 2.000; 2.080; 2.112; 2.145; 2.178; 2.200; 2.250; 2.288; 2.304; 2.340; 2.400; 2.420; 2.475; 2.496; 2.500; 2.560; 2.574; 2.600; 2.640; 2.662; 2.750; 2.816; 2.860; 2.880; 2.904; 2.925; 3.000; 3.025; 3.120; 3.146; 3.168; 3.200; 3.250; 3.300; 3.328; 3.432; 3.520; 3.575; 3.600; 3.630; 3.744; 3.750; 3.840; 3.872; 3.900; 3.960; 3.993; 4.000; 4.125; 4.160; 4.224; 4.290; 4.356; 4.400; 4.500; 4.576; 4.608; 4.680; 4.719; 4.800; 4.840; 4.875; 4.950; 4.992; 5.000; 5.148; 5.200; 5.280; 5.324; 5.445; 5.500; 5.625; 5.632; 5.720; 5.760; 5.808; 5.850; 6.000; 6.050; 6.240; 6.292; 6.336; 6.400; 6.435; 6.500; 6.600; 6.655; 6.656; 6.864; 6.875; 7.040; 7.150; 7.200; 7.260; 7.488; 7.500; 7.680; 7.744; 7.800; 7.865; 7.920; 7.986; 8.000; 8.125; 8.250; 8.320; 8.448; 8.580; 8.712; 8.800; 9.000; 9.075; 9.152; 9.360; 9.438; 9.600; 9.680; 9.750; 9.900; 9.984; 10.000; 10.296; 10.400; 10.560; 10.648; 10.725; 10.890; 11.000; 11.250; 11.440; 11.520; 11.616; 11.700; 11.979; 12.000; 12.100; 12.375; 12.480; 12.584; 12.672; 12.800; 12.870; 13.000; 13.200; 13.310; 13.728; 13.750; 14.080; 14.157; 14.300; 14.400; 14.520; 14.625; 14.976; 15.000; 15.125; 15.488; 15.600; 15.730; 15.840; 15.972; 16.000; 16.250; 16.500; 16.640; 16.896; 17.160; 17.303; 17.424; 17.600; 17.875; 18.000; 18.150; 18.304; 18.720; 18.876; 19.200; 19.360; 19.500; 19.800; 19.965; 19.968; 20.000; 20.592; 20.625; 20.800; 21.120; 21.296; 21.450; 21.780; 22.000; 22.500; 22.880; 23.040; 23.232; 23.400; 23.595; 23.958; 24.000; 24.200; 24.375; 24.750; 24.960; 25.168; 25.344; 25.740; 26.000; 26.400; 26.620; 27.225; 27.456; 27.500; 28.160; 28.314; 28.600; 28.800; 29.040; 29.250; 29.952; 30.000; 30.250; 30.976; 31.200; 31.460; 31.680; 31.944; 32.000; 32.175; 32.500; 33.000; 33.275; 33.280; 34.320; 34.606; 34.848; 35.200; 35.750; 36.000; 36.300; 36.608; 37.440; 37.752; 38.400; 38.720; 39.000; 39.325; 39.600; 39.930; 40.000; 41.184; 41.250; 41.600; 42.240; 42.592; 42.900; 43.560; 44.000; 45.000; 45.375; 45.760; 46.464; 46.800; 47.190; 47.916; 48.000; 48.400; 48.750; 49.500; 49.920; 50.336; 50.688; 51.480; 51.909; 52.000; 52.800; 53.240; 53.625; 54.450; 54.912; 55.000; 56.628; 57.200; 57.600; 58.080; 58.500; 59.895; 59.904; 60.000; 60.500; 61.875; 61.952; 62.400; 62.920; 63.360; 63.888; 64.000; 64.350; 65.000; 66.000; 66.550; 68.640; 69.212; 69.696; 70.400; 70.785; 71.500; 72.000; 72.600; 73.125; 73.216; 74.880; 75.504; 75.625; 77.440; 78.000; 78.650; 79.200; 79.860; 80.000; 82.368; 82.500; 83.200; 84.480; 85.184; 85.800; 86.515; 87.120; 88.000; 89.375; 90.000; 90.750; 91.520; 92.928; 93.600; 94.380; 95.832; 96.000; 96.800; 97.500; 99.000; 99.825; 99.840; 100.672; 102.960; 103.818; 104.000; 105.600; 106.480; 107.250; 108.900; 109.824; 110.000; 113.256; 114.400; 115.200; 116.160; 117.000; 117.975; 119.790; 120.000; 121.000; 123.750; 124.800; 125.840; 126.720; 127.776; 128.700; 130.000; 132.000; 133.100; 136.125; 137.280; 138.424; 139.392; 140.800; 141.570; 143.000; 144.000; 145.200; 146.250; 149.760; 151.008; 151.250; 154.880; 155.727; 156.000; 157.300; 158.400; 159.720; 160.000; 160.875; 164.736; 165.000; 166.375; 166.400; 170.368; 171.600; 173.030; 174.240; 176.000; 178.750; 180.000; 181.500; 183.040; 185.856; 187.200; 188.760; 191.664; 192.000; 193.600; 195.000; 196.625; 198.000; 199.650; 201.344; 205.920; 207.636; 208.000; 211.200; 212.960; 214.500; 217.800; 219.648; 220.000; 226.512; 226.875; 228.800; 232.320; 234.000; 235.950; 239.580; 240.000; 242.000; 247.500; 249.600; 251.680; 253.440; 255.552; 257.400; 259.545; 260.000; 264.000; 266.200; 268.125; 272.250; 274.560; 276.848; 278.784; 283.140; 286.000; 288.000; 290.400; 292.500; 299.475; 299.520; 302.016; 302.500; 309.760; 311.454; 312.000; 314.600; 316.800; 319.440; 320.000; 321.750; 329.472; 330.000; 332.750; 340.736; 343.200; 346.060; 348.480; 352.000; 353.925; 357.500; 360.000; 363.000; 366.080; 374.400; 377.520; 383.328; 387.200; 390.000; 393.250; 396.000; 399.300; 402.688; 411.840; 415.272; 416.000; 422.400; 425.920; 429.000; 432.575; 435.600; 440.000; 453.024; 453.750; 457.600; 464.640; 468.000; 471.900; 479.160; 480.000; 484.000; 495.000; 499.125; 499.200; 503.360; 511.104; 514.800; 519.090; 520.000; 528.000; 532.400; 536.250; 544.500; 549.120; 553.696; 557.568; 566.280; 572.000; 576.000; 580.800; 585.000; 589.875; 598.950; 604.032; 605.000; 622.908; 624.000; 629.200; 633.600; 638.880; 643.500; 658.944; 660.000; 665.500; 680.625; 681.472; 686.400; 692.120; 696.960; 704.000; 707.850; 715.000; 720.000; 726.000; 748.800; 755.040; 766.656; 774.400; 778.635; 780.000; 786.500; 792.000; 798.600; 804.375; 805.376; 823.680; 830.544; 831.875; 832.000; 851.840; 858.000; 865.150; 871.200; 880.000; 906.048; 907.500; 915.200; 929.280; 936.000; 943.800; 958.320; 960.000; 968.000; 983.125; 990.000; 998.250; 1.006.720; 1.022.208; 1.029.600; 1.038.180; 1.040.000; 1.056.000; 1.064.800; 1.072.500; 1.089.000; 1.098.240; 1.107.392; 1.132.560; 1.144.000; 1.161.600; 1.170.000; 1.179.750; 1.197.900; 1.208.064; 1.210.000; 1.245.816; 1.248.000; 1.258.400; 1.267.200; 1.277.760; 1.287.000; 1.297.725; 1.320.000; 1.331.000; 1.361.250; 1.372.800; 1.384.240; 1.393.920; 1.415.700; 1.430.000; 1.440.000; 1.452.000; 1.497.375; 1.497.600; 1.510.080; 1.533.312; 1.548.800; 1.557.270; 1.560.000; 1.573.000; 1.584.000; 1.597.200; 1.608.750; 1.647.360; 1.661.088; 1.663.750; 1.703.680; 1.716.000; 1.730.300; 1.742.400; 1.760.000; 1.769.625; 1.812.096; 1.815.000; 1.830.400; 1.872.000; 1.887.600; 1.916.640; 1.936.000; 1.966.250; 1.980.000; 1.996.500; 2.013.440; 2.044.416; 2.059.200; 2.076.360; 2.080.000; 2.112.000; 2.129.600; 2.145.000; 2.162.875; 2.178.000; 2.214.784; 2.265.120; 2.288.000; 2.323.200; 2.340.000; 2.359.500; 2.395.800; 2.416.128; 2.420.000; 2.491.632; 2.495.625; 2.496.000; 2.516.800; 2.555.520; 2.574.000; 2.595.450; 2.640.000; 2.662.000; 2.722.500; 2.745.600; 2.768.480; 2.787.840; 2.831.400; 2.860.000; 2.880.000; 2.904.000; 2.949.375; 2.994.750; 3.020.160; 3.066.624; 3.114.540; 3.120.000; 3.146.000; 3.168.000; 3.194.400; 3.217.500; 3.294.720; 3.322.176; 3.327.500; 3.407.360; 3.432.000; 3.460.600; 3.484.800; 3.520.000; 3.539.250; 3.624.192; 3.630.000; 3.744.000; 3.775.200; 3.833.280; 3.872.000; 3.893.175; 3.932.500; 3.960.000; 3.993.000; 4.026.880; 4.118.400; 4.152.720; 4.160.000; 4.259.200; 4.290.000; 4.325.750; 4.356.000; 4.429.568; 4.530.240; 4.576.000; 4.646.400; 4.680.000; 4.719.000; 4.791.600; 4.840.000; 4.983.264; 4.991.250; 5.033.600; 5.111.040; 5.148.000; 5.190.900; 5.280.000; 5.324.000; 5.445.000; 5.491.200; 5.536.960; 5.662.800; 5.720.000; 5.808.000; 5.898.750; 5.989.500; 6.040.320; 6.133.248; 6.229.080; 6.240.000; 6.292.000; 6.336.000; 6.388.800; 6.435.000; 6.488.625; 6.644.352; 6.655.000; 6.864.000; 6.921.200; 6.969.600; 7.078.500; 7.248.384; 7.260.000; 7.486.875; 7.488.000; 7.550.400; 7.666.560; 7.744.000; 7.786.350; 7.865.000; 7.920.000; 7.986.000; 8.236.800; 8.305.440; 8.518.400; 8.580.000; 8.651.500; 8.712.000; 8.848.125; 8.859.136; 9.060.480; 9.152.000; 9.360.000; 9.438.000; 9.583.200; 9.680.000; 9.966.528; 9.982.500; 10.067.200; 10.222.080; 10.296.000; 10.381.800; 10.560.000; 10.648.000; 10.814.375; 10.890.000; 11.073.920; 11.325.600; 11.440.000; 11.616.000; 11.797.500; 11.979.000; 12.080.640; 12.458.160; 12.480.000; 12.584.000; 12.777.600; 12.870.000; 12.977.250; 13.288.704; 13.310.000; 13.728.000; 13.842.400; 13.939.200; 14.157.000; 14.520.000; 14.973.750; 15.100.800; 15.333.120; 15.572.700; 15.730.000; 15.840.000; 15.972.000; 16.473.600; 16.610.880; 17.036.800; 17.160.000; 17.303.000; 17.424.000; 17.696.250; 18.120.960; 18.720.000; 18.876.000; 19.166.400; 19.360.000; 19.465.875; 19.933.056; 19.965.000; 20.134.400; 20.592.000; 20.763.600; 21.296.000; 21.628.750; 21.780.000; 22.147.840; 22.651.200; 22.880.000; 23.232.000; 23.595.000; 23.958.000; 24.916.320; 25.168.000; 25.555.200; 25.740.000; 25.954.500; 26.577.408; 26.620.000; 27.456.000; 27.684.800; 28.314.000; 29.040.000; 29.947.500; 30.201.600; 30.666.240; 31.145.400; 31.460.000; 31.680.000; 31.944.000; 32.443.125; 33.221.760; 34.320.000; 34.606.000; 34.848.000; 35.392.500; 36.241.920; 37.440.000; 37.752.000; 38.332.800; 38.720.000; 38.931.750; 39.866.112; 39.930.000; 41.184.000; 41.527.200; 42.592.000; 43.257.500; 43.560.000; 44.295.680; 45.302.400; 45.760.000; 47.190.000; 47.916.000; 49.832.640; 50.336.000; 51.110.400; 51.480.000; 51.909.000; 53.240.000; 55.369.600; 56.628.000; 58.080.000; 59.895.000; 60.403.200; 62.290.800; 62.920.000; 63.888.000; 64.886.250; 66.443.520; 68.640.000; 69.212.000; 69.696.000; 70.785.000; 75.504.000; 76.665.600; 77.863.500; 79.732.224; 79.860.000; 82.368.000; 83.054.400; 85.184.000; 86.515.000; 87.120.000; 90.604.800; 94.380.000; 95.832.000; 97.329.375; 99.665.280; 100.672.000; 102.960.000; 103.818.000; 106.480.000; 110.739.200; 113.256.000; 116.160.000; 119.790.000; 124.581.600; 125.840.000; 127.776.000; 129.772.500; 132.887.040; 137.280.000; 138.424.000; 141.570.000; 151.008.000; 153.331.200; 155.727.000; 159.720.000; 166.108.800; 173.030.000; 174.240.000; 181.209.600; 188.760.000; 191.664.000; 194.658.750; 199.330.560; 205.920.000; 207.636.000; 212.960.000; 221.478.400; 226.512.000; 239.580.000; 249.163.200; 251.680.000; 255.552.000; 259.545.000; 276.848.000; 283.140.000; 302.016.000; 311.454.000; 319.440.000; 332.217.600; 346.060.000; 348.480.000; 377.520.000; 383.328.000; 389.317.500; 398.661.120; 411.840.000; 415.272.000; 425.920.000; 453.024.000; 479.160.000; 498.326.400; 503.360.000; 519.090.000; 553.696.000; 566.280.000; 622.908.000; 638.880.000; 664.435.200; 692.120.000; 755.040.000; 766.656.000; 778.635.000; 830.544.000; 906.048.000; 958.320.000; 996.652.800; 1.038.180.000; 1.107.392.000; 1.132.560.000; 1.245.816.000; 1.277.760.000; 1.384.240.000; 1.510.080.000; 1.557.270.000; 1.661.088.000; 1.916.640.000; 1.993.305.600; 2.076.360.000; 2.265.120.000; 2.491.632.000; 2.768.480.000; 3.114.540.000; 3.322.176.000; 3.833.280.000; 4.152.720.000; 4.530.240.000; 4.983.264.000; 5.536.960.000; 6.229.080.000; 8.305.440.000; 9.966.528.000; 12.458.160.000; 16.610.880.000; 24.916.320.000 et 49.832.640.000
dont 5 facteurs premiers: 2; 3; 5; 11 et 13
49.832.640.000 est appelé diviseur impropre, les autres sont des diviseurs propres (stricts).

Un moyen rapide de trouver les diviseurs d'un nombre est de le décomposer en facteurs premiers.

Multipliez ensuite les facteurs premiers et leurs exposants, s'il y en a, dans toutes leurs différentes combinaisons.


Autres opérations similaires de calcul des diviseurs :

» Quels sont tous les diviseurs (propres, impropres et facteurs premiers) du nombre 49.832.639.990?

» Quels sont tous les diviseurs (propres, impropres et facteurs premiers) du nombre 49.832.640.003?


Calculer tous les diviseurs (et les facteurs premiers) des nombres donnés

Comment calculer (trouver) tous les diviseurs (propres, impropres et facteurs premiers) d'un nombre :

Décomposer le nombre en facteurs premiers (faire la factorisation première du nombre). Multipliez ensuite ses facteurs premiers dans toutes leurs combinaisons uniques, qui donnent des résultats différents.

Pour calculer les diviseurs communs de deux nombres :

Les diviseurs communs de deux nombres sont tous les diviseurs du plus grand commun diviseur, pgcd.

Calculer le plus grand commun diviseur des deux nombres, pgcd.

Décomposer le PGCD en facteurs premiers. Multipliez ensuite ses facteurs premiers dans toutes leurs combinaisons uniques, qui donnent des résultats différents.

Les 10 derniers ensembles de diviseurs calculés : d'un nombre ou tous les diviseurs communs de deux nombres

Quels sont tous les diviseurs (propres, impropres et facteurs premiers) du nombre 49.832.640.000 ? 13 mai, 04:08 CET (UTC +1)
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Quels sont tous les diviseurs communs et tous les facteurs premiers communs des nombres 25.873.074.719 et 42.043.746.418 ? 13 mai, 04:08 CET (UTC +1)
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La liste de tous les calculs : tous les diviseurs d'un nombre ou tous les diviseurs communs de deux nombres

Diviseurs, diviseurs communs, le plus grand commun diviseur, pgcd

  • Note 1 : La décomposition d'un nombre en facteurs premiers (la factorisation première d'un nombre) consiste à écrire un nombre naturel supérieur à 1 sous la forme d'un produit de nombres premiers.
  • Note 2 : 23 = 2 × 2 × 2 = 8. On dit 2 à la puissance 3 - ou - 2 exposant 3. Dans cet exemple, 3 est l'exposant et 2 la base. L'exposant indique combien de fois la base est multipliée par elle-même. 23 est la puissance et 8 est la valeur de la puissance.
  • Si le nombre "t" est un diviseur du nombre "a", alors dans la décomposition en facteurs premiers de "t", nous ne rencontrerons que des facteurs qui interviennent également dans la décomposition en facteurs premiers de "a".
  • S'il y a des exposants impliqués, la valeur maximale d'un exposant pour toute base d'une puissance qui se trouve dans la décomposition en facteurs premiers de "t" est au plus égale à l'exposant de la même base qui est impliquée dans la décomposition en facteurs premiers de "a".
  • Par example, 12 est un diviseur de 120 - le reste est égal à zéro en divisant 120 par 12.
  • Examinons la décomposition en facteurs premiers des deux nombres et remarquons les bases et les exposants qui apparaissent dans la factorisation première des deux nombres :
  • 12 = 2 × 2 × 3 = 22 × 3
  • 120 = 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5
  • 120 contient tous les facteurs premiers de 12, et tous les exposants de ses bases sont supérieurs à ceux de 12.
  • Si "t" est un diviseur commun de "a" et "b", alors la décomposition en facteurs premiers de "t" ne contient que les facteurs premiers communs impliqués dans la décomposition en facteurs premiers de "a" et "b ".
  • S'il y a des exposants impliqués, la valeur maximale d'un exposant pour toute base d'une puissance qui se trouve dans la factorisation première de "t" est au plus égale au minimum des exposants de la même base qui est impliquée dans la factorisation première à la fois "a" et "b".
  • Par example, 12 est un diviseur commun de 48 et 360.
  • Le reste est égal à zéro lors de la division de 48 par 12 ou de 360 par 12.
  • Voici la décomposition en facteurs premiers des trois nombres, 12, 48 et 360 :
  • 12 = 22 × 3
  • 48 = 24 × 3
  • 360 = 23 × 32 × 5
  • Veuillez noter que 48 et 360 ont plusieurs diviseurs : 2, 3, 4, 6, 8, 12, 24. Parmi eux, 24 est le plus grand commun diviseur, pgcd, de 48 et 360.
  • Le plus grand commun diviseur, pgcd, de deux nombres, "a" et "b", est le produit de tous les facteurs premiers communs impliqués dans les factorisations premières de "a" et "b", multiplié par les exposants les plus bas.
  • Sur la base de cette règle, on calcule le plus grand commun diviseur, pgcd, de plusieurs nombres, comme le montre l'exemple ci-dessous...
  • pgcd (1.260 ; 3.024 ; 5.544) = ?
  • 1.260 = 22 × 32
  • 3.024 = 24 × 32 × 7
  • 5.544 = 23 × 32 × 7 × 11
  • Les facteurs premiers communs sont :
  • 2 - son exposant le plus bas est : min.(2 ; 3 ; 4) = 2
  • 3 - son exposant le plus bas est : min.(2 ; 2 ; 2) = 2
  • pgcd (1.260 ; 3.024 ; 5.544) = 22 × 32 = 252
  • Nombres premiers entre eux :
  • Si deux nombres "a" et "b" n'ont pas d'autre diviseur commun que 1, pgcd (a ; b) = 1, alors les nombres "a" et "b" sont dits premiers entre eux.
  • Les diviseurs du PGCD
  • Si "a" et "b" ne sont pas premiers entre eux, alors chaque diviseur commun de "a" et "b" est aussi un diviseur du plus grand diviseur commun, pgcd, de "a" et "b".