73.042.200: Calcula todos los divisores del número 73.042.200 (y los factores primos)

Los divisores del número 73.042.200

1. Realizar la descomposición del número 73.042.200 en factores primos:

La descomposición en factores primos de un número (descomposición factorial) = descomponer el número como un producto (multiplicación) de uno o varios números primos.


73.042.200 = 23 × 32 × 52 × 7 × 11 × 17 × 31
73.042.200 no es un numero primo sino un numero compuesto.


* Los números naturales que son divisibles solo por 1 y por ellos mismos se llaman números primos. Un número primo tiene exactamente dos divisores: el 1 y él mismo.
* Un número compuesto es un número natural que tiene al menos un divisor diferente de 1 y él mismo.


2. Multiplica los factores primos del número 73.042.200

Multiplica los factores primos involucrados en la descomposición en factores primos del número en todas sus combinaciones únicas, que dan resultados diferentes.


Considere también los exponentes de estos factores primos.

También considere el número 1 cuando construya la lista de divisores. Todos los números son divisibles por 1.


Todos los divisores se enumeran a continuación, en orden ascendente

La lista de divisores:

Ni primo ni compuesto = 1
factor primo = 2
factor primo = 3
22 = 4
factor primo = 5
2 × 3 = 6
factor primo = 7
23 = 8
32 = 9
2 × 5 = 10
factor primo = 11
22 × 3 = 12
2 × 7 = 14
3 × 5 = 15
factor primo = 17
2 × 32 = 18
22 × 5 = 20
3 × 7 = 21
2 × 11 = 22
23 × 3 = 24
52 = 25
22 × 7 = 28
2 × 3 × 5 = 30
factor primo = 31
3 × 11 = 33
2 × 17 = 34
5 × 7 = 35
22 × 32 = 36
23 × 5 = 40
2 × 3 × 7 = 42
22 × 11 = 44
32 × 5 = 45
2 × 52 = 50
3 × 17 = 51
5 × 11 = 55
23 × 7 = 56
22 × 3 × 5 = 60
2 × 31 = 62
32 × 7 = 63
2 × 3 × 11 = 66
22 × 17 = 68
2 × 5 × 7 = 70
23 × 32 = 72
3 × 52 = 75
7 × 11 = 77
22 × 3 × 7 = 84
5 × 17 = 85
23 × 11 = 88
2 × 32 × 5 = 90
3 × 31 = 93
32 × 11 = 99
22 × 52 = 100
2 × 3 × 17 = 102
3 × 5 × 7 = 105
2 × 5 × 11 = 110
7 × 17 = 119
23 × 3 × 5 = 120
22 × 31 = 124
2 × 32 × 7 = 126
22 × 3 × 11 = 132
23 × 17 = 136
22 × 5 × 7 = 140
2 × 3 × 52 = 150
32 × 17 = 153
2 × 7 × 11 = 154
5 × 31 = 155
3 × 5 × 11 = 165
23 × 3 × 7 = 168
2 × 5 × 17 = 170
52 × 7 = 175
22 × 32 × 5 = 180
2 × 3 × 31 = 186
11 × 17 = 187
2 × 32 × 11 = 198
23 × 52 = 200
22 × 3 × 17 = 204
2 × 3 × 5 × 7 = 210
7 × 31 = 217
22 × 5 × 11 = 220
32 × 52 = 225
3 × 7 × 11 = 231
2 × 7 × 17 = 238
23 × 31 = 248
22 × 32 × 7 = 252
3 × 5 × 17 = 255
23 × 3 × 11 = 264
52 × 11 = 275
32 × 31 = 279
23 × 5 × 7 = 280
22 × 3 × 52 = 300
2 × 32 × 17 = 306
22 × 7 × 11 = 308
2 × 5 × 31 = 310
32 × 5 × 7 = 315
2 × 3 × 5 × 11 = 330
22 × 5 × 17 = 340
11 × 31 = 341
2 × 52 × 7 = 350
3 × 7 × 17 = 357
23 × 32 × 5 = 360
22 × 3 × 31 = 372
2 × 11 × 17 = 374
5 × 7 × 11 = 385
22 × 32 × 11 = 396
23 × 3 × 17 = 408
22 × 3 × 5 × 7 = 420
52 × 17 = 425
2 × 7 × 31 = 434
23 × 5 × 11 = 440
2 × 32 × 52 = 450
2 × 3 × 7 × 11 = 462
3 × 5 × 31 = 465
22 × 7 × 17 = 476
32 × 5 × 11 = 495
23 × 32 × 7 = 504
2 × 3 × 5 × 17 = 510
3 × 52 × 7 = 525
17 × 31 = 527
2 × 52 × 11 = 550
2 × 32 × 31 = 558
3 × 11 × 17 = 561
5 × 7 × 17 = 595
23 × 3 × 52 = 600
22 × 32 × 17 = 612
23 × 7 × 11 = 616
22 × 5 × 31 = 620
2 × 32 × 5 × 7 = 630
3 × 7 × 31 = 651
22 × 3 × 5 × 11 = 660
23 × 5 × 17 = 680
2 × 11 × 31 = 682
32 × 7 × 11 = 693
22 × 52 × 7 = 700
2 × 3 × 7 × 17 = 714
23 × 3 × 31 = 744
22 × 11 × 17 = 748
32 × 5 × 17 = 765
2 × 5 × 7 × 11 = 770
52 × 31 = 775
23 × 32 × 11 = 792
3 × 52 × 11 = 825
23 × 3 × 5 × 7 = 840
2 × 52 × 17 = 850
22 × 7 × 31 = 868
22 × 32 × 52 = 900
22 × 3 × 7 × 11 = 924
2 × 3 × 5 × 31 = 930
5 × 11 × 17 = 935
23 × 7 × 17 = 952
2 × 32 × 5 × 11 = 990
22 × 3 × 5 × 17 = 1.020
3 × 11 × 31 = 1.023
2 × 3 × 52 × 7 = 1.050
2 × 17 × 31 = 1.054
32 × 7 × 17 = 1.071
5 × 7 × 31 = 1.085
22 × 52 × 11 = 1.100
22 × 32 × 31 = 1.116
2 × 3 × 11 × 17 = 1.122
3 × 5 × 7 × 11 = 1.155
2 × 5 × 7 × 17 = 1.190
23 × 32 × 17 = 1.224
23 × 5 × 31 = 1.240
22 × 32 × 5 × 7 = 1.260
3 × 52 × 17 = 1.275
2 × 3 × 7 × 31 = 1.302
7 × 11 × 17 = 1.309
23 × 3 × 5 × 11 = 1.320
22 × 11 × 31 = 1.364
2 × 32 × 7 × 11 = 1.386
32 × 5 × 31 = 1.395
23 × 52 × 7 = 1.400
22 × 3 × 7 × 17 = 1.428
23 × 11 × 17 = 1.496
2 × 32 × 5 × 17 = 1.530
22 × 5 × 7 × 11 = 1.540
2 × 52 × 31 = 1.550
32 × 52 × 7 = 1.575
3 × 17 × 31 = 1.581
2 × 3 × 52 × 11 = 1.650
32 × 11 × 17 = 1.683
22 × 52 × 17 = 1.700
5 × 11 × 31 = 1.705
23 × 7 × 31 = 1.736
3 × 5 × 7 × 17 = 1.785
23 × 32 × 52 = 1.800
23 × 3 × 7 × 11 = 1.848
22 × 3 × 5 × 31 = 1.860
2 × 5 × 11 × 17 = 1.870
52 × 7 × 11 = 1.925
32 × 7 × 31 = 1.953
22 × 32 × 5 × 11 = 1.980
23 × 3 × 5 × 17 = 2.040
2 × 3 × 11 × 31 = 2.046
22 × 3 × 52 × 7 = 2.100
22 × 17 × 31 = 2.108
2 × 32 × 7 × 17 = 2.142
2 × 5 × 7 × 31 = 2.170
23 × 52 × 11 = 2.200
23 × 32 × 31 = 2.232
22 × 3 × 11 × 17 = 2.244
2 × 3 × 5 × 7 × 11 = 2.310
3 × 52 × 31 = 2.325
22 × 5 × 7 × 17 = 2.380
7 × 11 × 31 = 2.387
32 × 52 × 11 = 2.475
23 × 32 × 5 × 7 = 2.520
2 × 3 × 52 × 17 = 2.550
22 × 3 × 7 × 31 = 2.604
2 × 7 × 11 × 17 = 2.618
5 × 17 × 31 = 2.635
23 × 11 × 31 = 2.728
22 × 32 × 7 × 11 = 2.772
2 × 32 × 5 × 31 = 2.790
3 × 5 × 11 × 17 = 2.805
23 × 3 × 7 × 17 = 2.856
52 × 7 × 17 = 2.975
22 × 32 × 5 × 17 = 3.060
32 × 11 × 31 = 3.069
23 × 5 × 7 × 11 = 3.080
22 × 52 × 31 = 3.100
2 × 32 × 52 × 7 = 3.150
2 × 3 × 17 × 31 = 3.162
3 × 5 × 7 × 31 = 3.255
22 × 3 × 52 × 11 = 3.300
2 × 32 × 11 × 17 = 3.366
23 × 52 × 17 = 3.400
2 × 5 × 11 × 31 = 3.410
32 × 5 × 7 × 11 = 3.465
2 × 3 × 5 × 7 × 17 = 3.570
7 × 17 × 31 = 3.689
23 × 3 × 5 × 31 = 3.720
22 × 5 × 11 × 17 = 3.740
32 × 52 × 17 = 3.825
2 × 52 × 7 × 11 = 3.850
2 × 32 × 7 × 31 = 3.906
3 × 7 × 11 × 17 = 3.927
23 × 32 × 5 × 11 = 3.960
22 × 3 × 11 × 31 = 4.092
23 × 3 × 52 × 7 = 4.200
23 × 17 × 31 = 4.216
22 × 32 × 7 × 17 = 4.284
22 × 5 × 7 × 31 = 4.340
23 × 3 × 11 × 17 = 4.488
22 × 3 × 5 × 7 × 11 = 4.620
2 × 3 × 52 × 31 = 4.650
52 × 11 × 17 = 4.675
32 × 17 × 31 = 4.743
23 × 5 × 7 × 17 = 4.760
2 × 7 × 11 × 31 = 4.774
2 × 32 × 52 × 11 = 4.950
22 × 3 × 52 × 17 = 5.100
3 × 5 × 11 × 31 = 5.115
23 × 3 × 7 × 31 = 5.208
22 × 7 × 11 × 17 = 5.236
2 × 5 × 17 × 31 = 5.270
32 × 5 × 7 × 17 = 5.355
52 × 7 × 31 = 5.425
23 × 32 × 7 × 11 = 5.544
22 × 32 × 5 × 31 = 5.580
2 × 3 × 5 × 11 × 17 = 5.610
3 × 52 × 7 × 11 = 5.775
11 × 17 × 31 = 5.797
2 × 52 × 7 × 17 = 5.950
23 × 32 × 5 × 17 = 6.120
2 × 32 × 11 × 31 = 6.138
23 × 52 × 31 = 6.200
22 × 32 × 52 × 7 = 6.300
22 × 3 × 17 × 31 = 6.324
2 × 3 × 5 × 7 × 31 = 6.510
5 × 7 × 11 × 17 = 6.545
23 × 3 × 52 × 11 = 6.600
22 × 32 × 11 × 17 = 6.732
22 × 5 × 11 × 31 = 6.820
2 × 32 × 5 × 7 × 11 = 6.930
32 × 52 × 31 = 6.975
22 × 3 × 5 × 7 × 17 = 7.140
3 × 7 × 11 × 31 = 7.161
2 × 7 × 17 × 31 = 7.378
23 × 5 × 11 × 17 = 7.480
2 × 32 × 52 × 17 = 7.650
22 × 52 × 7 × 11 = 7.700
22 × 32 × 7 × 31 = 7.812
2 × 3 × 7 × 11 × 17 = 7.854
3 × 5 × 17 × 31 = 7.905
23 × 3 × 11 × 31 = 8.184
32 × 5 × 11 × 17 = 8.415
52 × 11 × 31 = 8.525
Esta lista continúa más abajo...

... Esta lista continúa desde arriba
23 × 32 × 7 × 17 = 8.568
23 × 5 × 7 × 31 = 8.680
3 × 52 × 7 × 17 = 8.925
23 × 3 × 5 × 7 × 11 = 9.240
22 × 3 × 52 × 31 = 9.300
2 × 52 × 11 × 17 = 9.350
2 × 32 × 17 × 31 = 9.486
22 × 7 × 11 × 31 = 9.548
32 × 5 × 7 × 31 = 9.765
22 × 32 × 52 × 11 = 9.900
23 × 3 × 52 × 17 = 10.200
2 × 3 × 5 × 11 × 31 = 10.230
23 × 7 × 11 × 17 = 10.472
22 × 5 × 17 × 31 = 10.540
2 × 32 × 5 × 7 × 17 = 10.710
2 × 52 × 7 × 31 = 10.850
3 × 7 × 17 × 31 = 11.067
23 × 32 × 5 × 31 = 11.160
22 × 3 × 5 × 11 × 17 = 11.220
2 × 3 × 52 × 7 × 11 = 11.550
2 × 11 × 17 × 31 = 11.594
32 × 7 × 11 × 17 = 11.781
22 × 52 × 7 × 17 = 11.900
5 × 7 × 11 × 31 = 11.935
22 × 32 × 11 × 31 = 12.276
23 × 32 × 52 × 7 = 12.600
23 × 3 × 17 × 31 = 12.648
22 × 3 × 5 × 7 × 31 = 13.020
2 × 5 × 7 × 11 × 17 = 13.090
52 × 17 × 31 = 13.175
23 × 32 × 11 × 17 = 13.464
23 × 5 × 11 × 31 = 13.640
22 × 32 × 5 × 7 × 11 = 13.860
2 × 32 × 52 × 31 = 13.950
3 × 52 × 11 × 17 = 14.025
23 × 3 × 5 × 7 × 17 = 14.280
2 × 3 × 7 × 11 × 31 = 14.322
22 × 7 × 17 × 31 = 14.756
22 × 32 × 52 × 17 = 15.300
32 × 5 × 11 × 31 = 15.345
23 × 52 × 7 × 11 = 15.400
23 × 32 × 7 × 31 = 15.624
22 × 3 × 7 × 11 × 17 = 15.708
2 × 3 × 5 × 17 × 31 = 15.810
3 × 52 × 7 × 31 = 16.275
2 × 32 × 5 × 11 × 17 = 16.830
2 × 52 × 11 × 31 = 17.050
32 × 52 × 7 × 11 = 17.325
3 × 11 × 17 × 31 = 17.391
2 × 3 × 52 × 7 × 17 = 17.850
5 × 7 × 17 × 31 = 18.445
23 × 3 × 52 × 31 = 18.600
22 × 52 × 11 × 17 = 18.700
22 × 32 × 17 × 31 = 18.972
23 × 7 × 11 × 31 = 19.096
2 × 32 × 5 × 7 × 31 = 19.530
3 × 5 × 7 × 11 × 17 = 19.635
23 × 32 × 52 × 11 = 19.800
22 × 3 × 5 × 11 × 31 = 20.460
23 × 5 × 17 × 31 = 21.080
22 × 32 × 5 × 7 × 17 = 21.420
32 × 7 × 11 × 31 = 21.483
22 × 52 × 7 × 31 = 21.700
2 × 3 × 7 × 17 × 31 = 22.134
23 × 3 × 5 × 11 × 17 = 22.440
22 × 3 × 52 × 7 × 11 = 23.100
22 × 11 × 17 × 31 = 23.188
2 × 32 × 7 × 11 × 17 = 23.562
32 × 5 × 17 × 31 = 23.715
23 × 52 × 7 × 17 = 23.800
2 × 5 × 7 × 11 × 31 = 23.870
23 × 32 × 11 × 31 = 24.552
3 × 52 × 11 × 31 = 25.575
23 × 3 × 5 × 7 × 31 = 26.040
22 × 5 × 7 × 11 × 17 = 26.180
2 × 52 × 17 × 31 = 26.350
32 × 52 × 7 × 17 = 26.775
23 × 32 × 5 × 7 × 11 = 27.720
22 × 32 × 52 × 31 = 27.900
2 × 3 × 52 × 11 × 17 = 28.050
22 × 3 × 7 × 11 × 31 = 28.644
5 × 11 × 17 × 31 = 28.985
23 × 7 × 17 × 31 = 29.512
23 × 32 × 52 × 17 = 30.600
2 × 32 × 5 × 11 × 31 = 30.690
23 × 3 × 7 × 11 × 17 = 31.416
22 × 3 × 5 × 17 × 31 = 31.620
2 × 3 × 52 × 7 × 31 = 32.550
52 × 7 × 11 × 17 = 32.725
32 × 7 × 17 × 31 = 33.201
22 × 32 × 5 × 11 × 17 = 33.660
22 × 52 × 11 × 31 = 34.100
2 × 32 × 52 × 7 × 11 = 34.650
2 × 3 × 11 × 17 × 31 = 34.782
22 × 3 × 52 × 7 × 17 = 35.700
3 × 5 × 7 × 11 × 31 = 35.805
2 × 5 × 7 × 17 × 31 = 36.890
23 × 52 × 11 × 17 = 37.400
23 × 32 × 17 × 31 = 37.944
22 × 32 × 5 × 7 × 31 = 39.060
2 × 3 × 5 × 7 × 11 × 17 = 39.270
3 × 52 × 17 × 31 = 39.525
7 × 11 × 17 × 31 = 40.579
23 × 3 × 5 × 11 × 31 = 40.920
32 × 52 × 11 × 17 = 42.075
23 × 32 × 5 × 7 × 17 = 42.840
2 × 32 × 7 × 11 × 31 = 42.966
23 × 52 × 7 × 31 = 43.400
22 × 3 × 7 × 17 × 31 = 44.268
23 × 3 × 52 × 7 × 11 = 46.200
23 × 11 × 17 × 31 = 46.376
22 × 32 × 7 × 11 × 17 = 47.124
2 × 32 × 5 × 17 × 31 = 47.430
22 × 5 × 7 × 11 × 31 = 47.740
32 × 52 × 7 × 31 = 48.825
2 × 3 × 52 × 11 × 31 = 51.150
32 × 11 × 17 × 31 = 52.173
23 × 5 × 7 × 11 × 17 = 52.360
22 × 52 × 17 × 31 = 52.700
2 × 32 × 52 × 7 × 17 = 53.550
3 × 5 × 7 × 17 × 31 = 55.335
23 × 32 × 52 × 31 = 55.800
22 × 3 × 52 × 11 × 17 = 56.100
23 × 3 × 7 × 11 × 31 = 57.288
2 × 5 × 11 × 17 × 31 = 57.970
32 × 5 × 7 × 11 × 17 = 58.905
52 × 7 × 11 × 31 = 59.675
22 × 32 × 5 × 11 × 31 = 61.380
23 × 3 × 5 × 17 × 31 = 63.240
22 × 3 × 52 × 7 × 31 = 65.100
2 × 52 × 7 × 11 × 17 = 65.450
2 × 32 × 7 × 17 × 31 = 66.402
23 × 32 × 5 × 11 × 17 = 67.320
23 × 52 × 11 × 31 = 68.200
22 × 32 × 52 × 7 × 11 = 69.300
22 × 3 × 11 × 17 × 31 = 69.564
23 × 3 × 52 × 7 × 17 = 71.400
2 × 3 × 5 × 7 × 11 × 31 = 71.610
22 × 5 × 7 × 17 × 31 = 73.780
32 × 52 × 11 × 31 = 76.725
23 × 32 × 5 × 7 × 31 = 78.120
22 × 3 × 5 × 7 × 11 × 17 = 78.540
2 × 3 × 52 × 17 × 31 = 79.050
2 × 7 × 11 × 17 × 31 = 81.158
2 × 32 × 52 × 11 × 17 = 84.150
22 × 32 × 7 × 11 × 31 = 85.932
3 × 5 × 11 × 17 × 31 = 86.955
23 × 3 × 7 × 17 × 31 = 88.536
52 × 7 × 17 × 31 = 92.225
23 × 32 × 7 × 11 × 17 = 94.248
22 × 32 × 5 × 17 × 31 = 94.860
23 × 5 × 7 × 11 × 31 = 95.480
2 × 32 × 52 × 7 × 31 = 97.650
3 × 52 × 7 × 11 × 17 = 98.175
22 × 3 × 52 × 11 × 31 = 102.300
2 × 32 × 11 × 17 × 31 = 104.346
23 × 52 × 17 × 31 = 105.400
22 × 32 × 52 × 7 × 17 = 107.100
32 × 5 × 7 × 11 × 31 = 107.415
2 × 3 × 5 × 7 × 17 × 31 = 110.670
23 × 3 × 52 × 11 × 17 = 112.200
22 × 5 × 11 × 17 × 31 = 115.940
2 × 32 × 5 × 7 × 11 × 17 = 117.810
32 × 52 × 17 × 31 = 118.575
2 × 52 × 7 × 11 × 31 = 119.350
3 × 7 × 11 × 17 × 31 = 121.737
23 × 32 × 5 × 11 × 31 = 122.760
23 × 3 × 52 × 7 × 31 = 130.200
22 × 52 × 7 × 11 × 17 = 130.900
22 × 32 × 7 × 17 × 31 = 132.804
23 × 32 × 52 × 7 × 11 = 138.600
23 × 3 × 11 × 17 × 31 = 139.128
22 × 3 × 5 × 7 × 11 × 31 = 143.220
52 × 11 × 17 × 31 = 144.925
23 × 5 × 7 × 17 × 31 = 147.560
2 × 32 × 52 × 11 × 31 = 153.450
23 × 3 × 5 × 7 × 11 × 17 = 157.080
22 × 3 × 52 × 17 × 31 = 158.100
22 × 7 × 11 × 17 × 31 = 162.316
32 × 5 × 7 × 17 × 31 = 166.005
22 × 32 × 52 × 11 × 17 = 168.300
23 × 32 × 7 × 11 × 31 = 171.864
2 × 3 × 5 × 11 × 17 × 31 = 173.910
3 × 52 × 7 × 11 × 31 = 179.025
2 × 52 × 7 × 17 × 31 = 184.450
23 × 32 × 5 × 17 × 31 = 189.720
22 × 32 × 52 × 7 × 31 = 195.300
2 × 3 × 52 × 7 × 11 × 17 = 196.350
5 × 7 × 11 × 17 × 31 = 202.895
23 × 3 × 52 × 11 × 31 = 204.600
22 × 32 × 11 × 17 × 31 = 208.692
23 × 32 × 52 × 7 × 17 = 214.200
2 × 32 × 5 × 7 × 11 × 31 = 214.830
22 × 3 × 5 × 7 × 17 × 31 = 221.340
23 × 5 × 11 × 17 × 31 = 231.880
22 × 32 × 5 × 7 × 11 × 17 = 235.620
2 × 32 × 52 × 17 × 31 = 237.150
22 × 52 × 7 × 11 × 31 = 238.700
2 × 3 × 7 × 11 × 17 × 31 = 243.474
32 × 5 × 11 × 17 × 31 = 260.865
23 × 52 × 7 × 11 × 17 = 261.800
23 × 32 × 7 × 17 × 31 = 265.608
3 × 52 × 7 × 17 × 31 = 276.675
23 × 3 × 5 × 7 × 11 × 31 = 286.440
2 × 52 × 11 × 17 × 31 = 289.850
32 × 52 × 7 × 11 × 17 = 294.525
22 × 32 × 52 × 11 × 31 = 306.900
23 × 3 × 52 × 17 × 31 = 316.200
23 × 7 × 11 × 17 × 31 = 324.632
2 × 32 × 5 × 7 × 17 × 31 = 332.010
23 × 32 × 52 × 11 × 17 = 336.600
22 × 3 × 5 × 11 × 17 × 31 = 347.820
2 × 3 × 52 × 7 × 11 × 31 = 358.050
32 × 7 × 11 × 17 × 31 = 365.211
22 × 52 × 7 × 17 × 31 = 368.900
23 × 32 × 52 × 7 × 31 = 390.600
22 × 3 × 52 × 7 × 11 × 17 = 392.700
2 × 5 × 7 × 11 × 17 × 31 = 405.790
23 × 32 × 11 × 17 × 31 = 417.384
22 × 32 × 5 × 7 × 11 × 31 = 429.660
3 × 52 × 11 × 17 × 31 = 434.775
23 × 3 × 5 × 7 × 17 × 31 = 442.680
23 × 32 × 5 × 7 × 11 × 17 = 471.240
22 × 32 × 52 × 17 × 31 = 474.300
23 × 52 × 7 × 11 × 31 = 477.400
22 × 3 × 7 × 11 × 17 × 31 = 486.948
2 × 32 × 5 × 11 × 17 × 31 = 521.730
32 × 52 × 7 × 11 × 31 = 537.075
2 × 3 × 52 × 7 × 17 × 31 = 553.350
22 × 52 × 11 × 17 × 31 = 579.700
2 × 32 × 52 × 7 × 11 × 17 = 589.050
3 × 5 × 7 × 11 × 17 × 31 = 608.685
23 × 32 × 52 × 11 × 31 = 613.800
22 × 32 × 5 × 7 × 17 × 31 = 664.020
23 × 3 × 5 × 11 × 17 × 31 = 695.640
22 × 3 × 52 × 7 × 11 × 31 = 716.100
2 × 32 × 7 × 11 × 17 × 31 = 730.422
23 × 52 × 7 × 17 × 31 = 737.800
23 × 3 × 52 × 7 × 11 × 17 = 785.400
22 × 5 × 7 × 11 × 17 × 31 = 811.580
32 × 52 × 7 × 17 × 31 = 830.025
23 × 32 × 5 × 7 × 11 × 31 = 859.320
2 × 3 × 52 × 11 × 17 × 31 = 869.550
23 × 32 × 52 × 17 × 31 = 948.600
23 × 3 × 7 × 11 × 17 × 31 = 973.896
52 × 7 × 11 × 17 × 31 = 1.014.475
22 × 32 × 5 × 11 × 17 × 31 = 1.043.460
2 × 32 × 52 × 7 × 11 × 31 = 1.074.150
22 × 3 × 52 × 7 × 17 × 31 = 1.106.700
23 × 52 × 11 × 17 × 31 = 1.159.400
22 × 32 × 52 × 7 × 11 × 17 = 1.178.100
2 × 3 × 5 × 7 × 11 × 17 × 31 = 1.217.370
32 × 52 × 11 × 17 × 31 = 1.304.325
23 × 32 × 5 × 7 × 17 × 31 = 1.328.040
23 × 3 × 52 × 7 × 11 × 31 = 1.432.200
22 × 32 × 7 × 11 × 17 × 31 = 1.460.844
23 × 5 × 7 × 11 × 17 × 31 = 1.623.160
2 × 32 × 52 × 7 × 17 × 31 = 1.660.050
22 × 3 × 52 × 11 × 17 × 31 = 1.739.100
32 × 5 × 7 × 11 × 17 × 31 = 1.826.055
2 × 52 × 7 × 11 × 17 × 31 = 2.028.950
23 × 32 × 5 × 11 × 17 × 31 = 2.086.920
22 × 32 × 52 × 7 × 11 × 31 = 2.148.300
23 × 3 × 52 × 7 × 17 × 31 = 2.213.400
23 × 32 × 52 × 7 × 11 × 17 = 2.356.200
22 × 3 × 5 × 7 × 11 × 17 × 31 = 2.434.740
2 × 32 × 52 × 11 × 17 × 31 = 2.608.650
23 × 32 × 7 × 11 × 17 × 31 = 2.921.688
3 × 52 × 7 × 11 × 17 × 31 = 3.043.425
22 × 32 × 52 × 7 × 17 × 31 = 3.320.100
23 × 3 × 52 × 11 × 17 × 31 = 3.478.200
2 × 32 × 5 × 7 × 11 × 17 × 31 = 3.652.110
22 × 52 × 7 × 11 × 17 × 31 = 4.057.900
23 × 32 × 52 × 7 × 11 × 31 = 4.296.600
23 × 3 × 5 × 7 × 11 × 17 × 31 = 4.869.480
22 × 32 × 52 × 11 × 17 × 31 = 5.217.300
2 × 3 × 52 × 7 × 11 × 17 × 31 = 6.086.850
23 × 32 × 52 × 7 × 17 × 31 = 6.640.200
22 × 32 × 5 × 7 × 11 × 17 × 31 = 7.304.220
23 × 52 × 7 × 11 × 17 × 31 = 8.115.800
32 × 52 × 7 × 11 × 17 × 31 = 9.130.275
23 × 32 × 52 × 11 × 17 × 31 = 10.434.600
22 × 3 × 52 × 7 × 11 × 17 × 31 = 12.173.700
23 × 32 × 5 × 7 × 11 × 17 × 31 = 14.608.440
2 × 32 × 52 × 7 × 11 × 17 × 31 = 18.260.550
23 × 3 × 52 × 7 × 11 × 17 × 31 = 24.347.400
22 × 32 × 52 × 7 × 11 × 17 × 31 = 36.521.100
23 × 32 × 52 × 7 × 11 × 17 × 31 = 73.042.200

La respuesta final:
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73.042.200 tiene 576 divisores:
1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 11; 12; 14; 15; 17; 18; 20; 21; 22; 24; 25; 28; 30; 31; 33; 34; 35; 36; 40; 42; 44; 45; 50; 51; 55; 56; 60; 62; 63; 66; 68; 70; 72; 75; 77; 84; 85; 88; 90; 93; 99; 100; 102; 105; 110; 119; 120; 124; 126; 132; 136; 140; 150; 153; 154; 155; 165; 168; 170; 175; 180; 186; 187; 198; 200; 204; 210; 217; 220; 225; 231; 238; 248; 252; 255; 264; 275; 279; 280; 300; 306; 308; 310; 315; 330; 340; 341; 350; 357; 360; 372; 374; 385; 396; 408; 420; 425; 434; 440; 450; 462; 465; 476; 495; 504; 510; 525; 527; 550; 558; 561; 595; 600; 612; 616; 620; 630; 651; 660; 680; 682; 693; 700; 714; 744; 748; 765; 770; 775; 792; 825; 840; 850; 868; 900; 924; 930; 935; 952; 990; 1.020; 1.023; 1.050; 1.054; 1.071; 1.085; 1.100; 1.116; 1.122; 1.155; 1.190; 1.224; 1.240; 1.260; 1.275; 1.302; 1.309; 1.320; 1.364; 1.386; 1.395; 1.400; 1.428; 1.496; 1.530; 1.540; 1.550; 1.575; 1.581; 1.650; 1.683; 1.700; 1.705; 1.736; 1.785; 1.800; 1.848; 1.860; 1.870; 1.925; 1.953; 1.980; 2.040; 2.046; 2.100; 2.108; 2.142; 2.170; 2.200; 2.232; 2.244; 2.310; 2.325; 2.380; 2.387; 2.475; 2.520; 2.550; 2.604; 2.618; 2.635; 2.728; 2.772; 2.790; 2.805; 2.856; 2.975; 3.060; 3.069; 3.080; 3.100; 3.150; 3.162; 3.255; 3.300; 3.366; 3.400; 3.410; 3.465; 3.570; 3.689; 3.720; 3.740; 3.825; 3.850; 3.906; 3.927; 3.960; 4.092; 4.200; 4.216; 4.284; 4.340; 4.488; 4.620; 4.650; 4.675; 4.743; 4.760; 4.774; 4.950; 5.100; 5.115; 5.208; 5.236; 5.270; 5.355; 5.425; 5.544; 5.580; 5.610; 5.775; 5.797; 5.950; 6.120; 6.138; 6.200; 6.300; 6.324; 6.510; 6.545; 6.600; 6.732; 6.820; 6.930; 6.975; 7.140; 7.161; 7.378; 7.480; 7.650; 7.700; 7.812; 7.854; 7.905; 8.184; 8.415; 8.525; 8.568; 8.680; 8.925; 9.240; 9.300; 9.350; 9.486; 9.548; 9.765; 9.900; 10.200; 10.230; 10.472; 10.540; 10.710; 10.850; 11.067; 11.160; 11.220; 11.550; 11.594; 11.781; 11.900; 11.935; 12.276; 12.600; 12.648; 13.020; 13.090; 13.175; 13.464; 13.640; 13.860; 13.950; 14.025; 14.280; 14.322; 14.756; 15.300; 15.345; 15.400; 15.624; 15.708; 15.810; 16.275; 16.830; 17.050; 17.325; 17.391; 17.850; 18.445; 18.600; 18.700; 18.972; 19.096; 19.530; 19.635; 19.800; 20.460; 21.080; 21.420; 21.483; 21.700; 22.134; 22.440; 23.100; 23.188; 23.562; 23.715; 23.800; 23.870; 24.552; 25.575; 26.040; 26.180; 26.350; 26.775; 27.720; 27.900; 28.050; 28.644; 28.985; 29.512; 30.600; 30.690; 31.416; 31.620; 32.550; 32.725; 33.201; 33.660; 34.100; 34.650; 34.782; 35.700; 35.805; 36.890; 37.400; 37.944; 39.060; 39.270; 39.525; 40.579; 40.920; 42.075; 42.840; 42.966; 43.400; 44.268; 46.200; 46.376; 47.124; 47.430; 47.740; 48.825; 51.150; 52.173; 52.360; 52.700; 53.550; 55.335; 55.800; 56.100; 57.288; 57.970; 58.905; 59.675; 61.380; 63.240; 65.100; 65.450; 66.402; 67.320; 68.200; 69.300; 69.564; 71.400; 71.610; 73.780; 76.725; 78.120; 78.540; 79.050; 81.158; 84.150; 85.932; 86.955; 88.536; 92.225; 94.248; 94.860; 95.480; 97.650; 98.175; 102.300; 104.346; 105.400; 107.100; 107.415; 110.670; 112.200; 115.940; 117.810; 118.575; 119.350; 121.737; 122.760; 130.200; 130.900; 132.804; 138.600; 139.128; 143.220; 144.925; 147.560; 153.450; 157.080; 158.100; 162.316; 166.005; 168.300; 171.864; 173.910; 179.025; 184.450; 189.720; 195.300; 196.350; 202.895; 204.600; 208.692; 214.200; 214.830; 221.340; 231.880; 235.620; 237.150; 238.700; 243.474; 260.865; 261.800; 265.608; 276.675; 286.440; 289.850; 294.525; 306.900; 316.200; 324.632; 332.010; 336.600; 347.820; 358.050; 365.211; 368.900; 390.600; 392.700; 405.790; 417.384; 429.660; 434.775; 442.680; 471.240; 474.300; 477.400; 486.948; 521.730; 537.075; 553.350; 579.700; 589.050; 608.685; 613.800; 664.020; 695.640; 716.100; 730.422; 737.800; 785.400; 811.580; 830.025; 859.320; 869.550; 948.600; 973.896; 1.014.475; 1.043.460; 1.074.150; 1.106.700; 1.159.400; 1.178.100; 1.217.370; 1.304.325; 1.328.040; 1.432.200; 1.460.844; 1.623.160; 1.660.050; 1.739.100; 1.826.055; 2.028.950; 2.086.920; 2.148.300; 2.213.400; 2.356.200; 2.434.740; 2.608.650; 2.921.688; 3.043.425; 3.320.100; 3.478.200; 3.652.110; 4.057.900; 4.296.600; 4.869.480; 5.217.300; 6.086.850; 6.640.200; 7.304.220; 8.115.800; 9.130.275; 10.434.600; 12.173.700; 14.608.440; 18.260.550; 24.347.400; 36.521.100 y 73.042.200
de los cuales 7 factores primos: 2; 3; 5; 7; 11; 17 y 31

Una forma rápida de encontrar los divisores de un número es descomponerlo en factores primos.


Luego multiplica los factores primos y sus exponentes, si los hay, en todas sus diferentes combinaciones.


Calcula todos los divisores de los números dados:

Cómo calcular (encontrar) todos los divisores de un número:

Descomponer el número en factores primos (descomposición factorial). Luego multiplica sus factores primos en todas sus combinaciones únicas, que dan resultados diferentes.

Para calcular los divisores comunes de dos números:

Los divisores comunes de dos números son todos los divisores del máximo común divisor, mcd.

Calcula el máximo común divisor de los dos números, mcd.

Descompone el mcd en factores primos. Luego multiplica sus factores primos en todas sus combinaciones únicas, que dan resultados diferentes.

Los últimos 10 conjuntos de divisores calculados: de un número o los divisores comunes de dos números

Divisores, divisores comunes, el máximo común divisor, MCD

  • Si el número "t" es un divisor del número "a", entonces en la descomposición en factores primos de "t" solo encontraremos factores primos que también ocurren en la descomposición en factores primos de "a".
  • Si hay exponentes involucrados, el valor máximo de un exponente para cualquier base de una potencia que se encuentra en la descomposición en factores primos de "t" es como máximo igual al exponente de la misma base que está involucrado en la descomposición en factores primos de "a".
  • Nota: 23 = 2 × 2 × 2 = 8. Decimos que 2 fue elevado a la potencia de 3, o más simple, 2 elevado a 3. En este ejemplo, 3 es el exponente y 2 es la base. El exponente indica cuántas veces se multiplica la base por sí misma. 23 es la potencia y 8 es el valor de la potencia.
  • Por ejemplo, 12 es un divisor de 120 - el resto es cero al dividir 120 por 12.
  • Miremos la descomposición en factores primos de ambos números y observemos las bases y los exponentes de los factores primos que ocurren en la descomposición en factores primos de ambos números:
  • 12 = 2 × 2 × 3 = 22 × 3
  • 120 = 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5
  • 120 contiene todos los factores primos de 12, y todos los exponentes de sus bases son mayores que los de 12.
  • Si "t" es un divisor común de "a" y "b", entonces la descomposición en factores primos de "t" contiene solo los factores primos comunes involucrados en las descomposición en factores primos de "a" y "b".
  • Si hay exponentes involucrados: el valor máximo de un exponente de cualquier base de una potencia que se encuentra en la factorización prima del número "t" - es como máximo igual al mínimo de los exponentes de la misma base que ocurre en el descomposición en factores primos de los números "a" y "b".
  • Por ejemplo, 12 es el divisor común de 48 y 360.
  • El resto es cero al dividir 48 o 360 por 12.
  • Aquí están las descomposición en factores primos de los tres números, 12, 48 y 360:
  • 12 = 22 × 3
  • 48 = 24 × 3
  • 360 = 23 × 32 × 5
  • Ten en cuenta que 48 y 360 tienen más divisores: 2, 3, 4, 6, 8, 12, 24. Entre ellos, 24 es el máximo común divisor, mcd, de 48 y 360.
  • El máximo común divisor, mcd, de dos números, "a" y "b", es el producto de todos los factores primos comunes involucrados en las descomposición en factores primos de "a" y "b", tomados por los exponentes más bajos.
  • Con base en esta regla, se calcula el máximo común divisor, mcd, de varios números, como se muestra en el siguiente ejemplo...
  • mcd (1.260; 3.024; 5.544) = ?
  • 1.260 = 22 × 32
  • 3.024 = 24 × 32 × 7
  • 5.544 = 23 × 32 × 7 × 11
  • Los factores primos comunes son:
  • 2 - su exponente más bajo es: min. (2; 3; 4) = 2
  • 3 - su exponente más bajo es: min. (2; 2; 2) = 2
  • mcd (1.260; 3.024; 5.544) = 22 × 32 = 252
  • Números que son primos entre sí (coprimos, primos relativos):
  • Si dos números "a" y "b" no tienen más divisores comunes que 1, mcd (a; b) = 1, entonces los números "a" y "b" se llaman primos entre sí (coprimos, primos relativos).
  • Divisores del MCD
  • Si "a" y "b" no son primos entre sí, entonces todo divisor común de "a" y "b" es también un divisor del máximo común divisor, mcd, de "a" y "b".