486.948.000: Calcula todos los divisores del número 486.948.000 (y los factores primos)

Los divisores del número 486.948.000

1. Realizar la descomposición del número 486.948.000 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.

486.948.000 = 25 × 3 × 53 × 7 × 11 × 17 × 31
486.948.000 no es un numero primo sino un numero compuesto.

» Calculadora online. ¿El número es primo o compuesto? La descomposición en factores primos de números compuestos

* 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 486.948.000

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
2 × 5 = 10
factor primo = 11
22 × 3 = 12
2 × 7 = 14
3 × 5 = 15
24 = 16
factor primo = 17
22 × 5 = 20
3 × 7 = 21
2 × 11 = 22
23 × 3 = 24
52 = 25
22 × 7 = 28
2 × 3 × 5 = 30
factor primo = 31
25 = 32
3 × 11 = 33
2 × 17 = 34
5 × 7 = 35
23 × 5 = 40
2 × 3 × 7 = 42
22 × 11 = 44
24 × 3 = 48
2 × 52 = 50
3 × 17 = 51
5 × 11 = 55
23 × 7 = 56
22 × 3 × 5 = 60
2 × 31 = 62
2 × 3 × 11 = 66
22 × 17 = 68
2 × 5 × 7 = 70
3 × 52 = 75
7 × 11 = 77
24 × 5 = 80
22 × 3 × 7 = 84
5 × 17 = 85
23 × 11 = 88
3 × 31 = 93
25 × 3 = 96
22 × 52 = 100
2 × 3 × 17 = 102
3 × 5 × 7 = 105
2 × 5 × 11 = 110
24 × 7 = 112
7 × 17 = 119
23 × 3 × 5 = 120
22 × 31 = 124
53 = 125
22 × 3 × 11 = 132
23 × 17 = 136
22 × 5 × 7 = 140
2 × 3 × 52 = 150
2 × 7 × 11 = 154
5 × 31 = 155
25 × 5 = 160
3 × 5 × 11 = 165
23 × 3 × 7 = 168
2 × 5 × 17 = 170
52 × 7 = 175
24 × 11 = 176
2 × 3 × 31 = 186
11 × 17 = 187
23 × 52 = 200
22 × 3 × 17 = 204
2 × 3 × 5 × 7 = 210
7 × 31 = 217
22 × 5 × 11 = 220
25 × 7 = 224
3 × 7 × 11 = 231
2 × 7 × 17 = 238
24 × 3 × 5 = 240
23 × 31 = 248
2 × 53 = 250
3 × 5 × 17 = 255
23 × 3 × 11 = 264
24 × 17 = 272
52 × 11 = 275
23 × 5 × 7 = 280
22 × 3 × 52 = 300
22 × 7 × 11 = 308
2 × 5 × 31 = 310
2 × 3 × 5 × 11 = 330
24 × 3 × 7 = 336
22 × 5 × 17 = 340
11 × 31 = 341
2 × 52 × 7 = 350
25 × 11 = 352
3 × 7 × 17 = 357
22 × 3 × 31 = 372
2 × 11 × 17 = 374
3 × 53 = 375
5 × 7 × 11 = 385
24 × 52 = 400
23 × 3 × 17 = 408
22 × 3 × 5 × 7 = 420
52 × 17 = 425
2 × 7 × 31 = 434
23 × 5 × 11 = 440
2 × 3 × 7 × 11 = 462
3 × 5 × 31 = 465
22 × 7 × 17 = 476
25 × 3 × 5 = 480
24 × 31 = 496
22 × 53 = 500
2 × 3 × 5 × 17 = 510
3 × 52 × 7 = 525
17 × 31 = 527
24 × 3 × 11 = 528
25 × 17 = 544
2 × 52 × 11 = 550
24 × 5 × 7 = 560
3 × 11 × 17 = 561
5 × 7 × 17 = 595
23 × 3 × 52 = 600
23 × 7 × 11 = 616
22 × 5 × 31 = 620
3 × 7 × 31 = 651
22 × 3 × 5 × 11 = 660
25 × 3 × 7 = 672
23 × 5 × 17 = 680
2 × 11 × 31 = 682
22 × 52 × 7 = 700
2 × 3 × 7 × 17 = 714
23 × 3 × 31 = 744
22 × 11 × 17 = 748
2 × 3 × 53 = 750
2 × 5 × 7 × 11 = 770
52 × 31 = 775
25 × 52 = 800
24 × 3 × 17 = 816
3 × 52 × 11 = 825
23 × 3 × 5 × 7 = 840
2 × 52 × 17 = 850
22 × 7 × 31 = 868
53 × 7 = 875
24 × 5 × 11 = 880
22 × 3 × 7 × 11 = 924
2 × 3 × 5 × 31 = 930
5 × 11 × 17 = 935
23 × 7 × 17 = 952
25 × 31 = 992
23 × 53 = 1.000
22 × 3 × 5 × 17 = 1.020
3 × 11 × 31 = 1.023
2 × 3 × 52 × 7 = 1.050
2 × 17 × 31 = 1.054
25 × 3 × 11 = 1.056
5 × 7 × 31 = 1.085
22 × 52 × 11 = 1.100
25 × 5 × 7 = 1.120
2 × 3 × 11 × 17 = 1.122
3 × 5 × 7 × 11 = 1.155
2 × 5 × 7 × 17 = 1.190
24 × 3 × 52 = 1.200
24 × 7 × 11 = 1.232
23 × 5 × 31 = 1.240
3 × 52 × 17 = 1.275
2 × 3 × 7 × 31 = 1.302
7 × 11 × 17 = 1.309
23 × 3 × 5 × 11 = 1.320
24 × 5 × 17 = 1.360
22 × 11 × 31 = 1.364
53 × 11 = 1.375
23 × 52 × 7 = 1.400
22 × 3 × 7 × 17 = 1.428
24 × 3 × 31 = 1.488
23 × 11 × 17 = 1.496
22 × 3 × 53 = 1.500
22 × 5 × 7 × 11 = 1.540
2 × 52 × 31 = 1.550
3 × 17 × 31 = 1.581
25 × 3 × 17 = 1.632
2 × 3 × 52 × 11 = 1.650
24 × 3 × 5 × 7 = 1.680
22 × 52 × 17 = 1.700
5 × 11 × 31 = 1.705
23 × 7 × 31 = 1.736
2 × 53 × 7 = 1.750
25 × 5 × 11 = 1.760
3 × 5 × 7 × 17 = 1.785
23 × 3 × 7 × 11 = 1.848
22 × 3 × 5 × 31 = 1.860
2 × 5 × 11 × 17 = 1.870
24 × 7 × 17 = 1.904
52 × 7 × 11 = 1.925
24 × 53 = 2.000
23 × 3 × 5 × 17 = 2.040
2 × 3 × 11 × 31 = 2.046
22 × 3 × 52 × 7 = 2.100
22 × 17 × 31 = 2.108
53 × 17 = 2.125
2 × 5 × 7 × 31 = 2.170
23 × 52 × 11 = 2.200
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
25 × 3 × 52 = 2.400
25 × 7 × 11 = 2.464
24 × 5 × 31 = 2.480
2 × 3 × 52 × 17 = 2.550
22 × 3 × 7 × 31 = 2.604
2 × 7 × 11 × 17 = 2.618
3 × 53 × 7 = 2.625
5 × 17 × 31 = 2.635
24 × 3 × 5 × 11 = 2.640
25 × 5 × 17 = 2.720
23 × 11 × 31 = 2.728
2 × 53 × 11 = 2.750
24 × 52 × 7 = 2.800
3 × 5 × 11 × 17 = 2.805
23 × 3 × 7 × 17 = 2.856
52 × 7 × 17 = 2.975
25 × 3 × 31 = 2.976
24 × 11 × 17 = 2.992
23 × 3 × 53 = 3.000
23 × 5 × 7 × 11 = 3.080
22 × 52 × 31 = 3.100
2 × 3 × 17 × 31 = 3.162
3 × 5 × 7 × 31 = 3.255
22 × 3 × 52 × 11 = 3.300
25 × 3 × 5 × 7 = 3.360
23 × 52 × 17 = 3.400
2 × 5 × 11 × 31 = 3.410
24 × 7 × 31 = 3.472
22 × 53 × 7 = 3.500
2 × 3 × 5 × 7 × 17 = 3.570
7 × 17 × 31 = 3.689
24 × 3 × 7 × 11 = 3.696
23 × 3 × 5 × 31 = 3.720
22 × 5 × 11 × 17 = 3.740
25 × 7 × 17 = 3.808
2 × 52 × 7 × 11 = 3.850
53 × 31 = 3.875
3 × 7 × 11 × 17 = 3.927
25 × 53 = 4.000
24 × 3 × 5 × 17 = 4.080
22 × 3 × 11 × 31 = 4.092
3 × 53 × 11 = 4.125
23 × 3 × 52 × 7 = 4.200
23 × 17 × 31 = 4.216
2 × 53 × 17 = 4.250
22 × 5 × 7 × 31 = 4.340
24 × 52 × 11 = 4.400
23 × 3 × 11 × 17 = 4.488
22 × 3 × 5 × 7 × 11 = 4.620
2 × 3 × 52 × 31 = 4.650
52 × 11 × 17 = 4.675
23 × 5 × 7 × 17 = 4.760
2 × 7 × 11 × 31 = 4.774
25 × 5 × 31 = 4.960
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 × 3 × 53 × 7 = 5.250
2 × 5 × 17 × 31 = 5.270
25 × 3 × 5 × 11 = 5.280
52 × 7 × 31 = 5.425
24 × 11 × 31 = 5.456
22 × 53 × 11 = 5.500
25 × 52 × 7 = 5.600
2 × 3 × 5 × 11 × 17 = 5.610
24 × 3 × 7 × 17 = 5.712
3 × 52 × 7 × 11 = 5.775
11 × 17 × 31 = 5.797
2 × 52 × 7 × 17 = 5.950
25 × 11 × 17 = 5.984
24 × 3 × 53 = 6.000
24 × 5 × 7 × 11 = 6.160
23 × 52 × 31 = 6.200
22 × 3 × 17 × 31 = 6.324
3 × 53 × 17 = 6.375
2 × 3 × 5 × 7 × 31 = 6.510
5 × 7 × 11 × 17 = 6.545
23 × 3 × 52 × 11 = 6.600
24 × 52 × 17 = 6.800
22 × 5 × 11 × 31 = 6.820
25 × 7 × 31 = 6.944
23 × 53 × 7 = 7.000
22 × 3 × 5 × 7 × 17 = 7.140
3 × 7 × 11 × 31 = 7.161
2 × 7 × 17 × 31 = 7.378
25 × 3 × 7 × 11 = 7.392
24 × 3 × 5 × 31 = 7.440
23 × 5 × 11 × 17 = 7.480
22 × 52 × 7 × 11 = 7.700
2 × 53 × 31 = 7.750
2 × 3 × 7 × 11 × 17 = 7.854
3 × 5 × 17 × 31 = 7.905
25 × 3 × 5 × 17 = 8.160
23 × 3 × 11 × 31 = 8.184
2 × 3 × 53 × 11 = 8.250
24 × 3 × 52 × 7 = 8.400
24 × 17 × 31 = 8.432
22 × 53 × 17 = 8.500
52 × 11 × 31 = 8.525
23 × 5 × 7 × 31 = 8.680
25 × 52 × 11 = 8.800
3 × 52 × 7 × 17 = 8.925
24 × 3 × 11 × 17 = 8.976
23 × 3 × 5 × 7 × 11 = 9.240
22 × 3 × 52 × 31 = 9.300
2 × 52 × 11 × 17 = 9.350
24 × 5 × 7 × 17 = 9.520
22 × 7 × 11 × 31 = 9.548
53 × 7 × 11 = 9.625
23 × 3 × 52 × 17 = 10.200
2 × 3 × 5 × 11 × 31 = 10.230
24 × 3 × 7 × 31 = 10.416
23 × 7 × 11 × 17 = 10.472
22 × 3 × 53 × 7 = 10.500
22 × 5 × 17 × 31 = 10.540
2 × 52 × 7 × 31 = 10.850
25 × 11 × 31 = 10.912
23 × 53 × 11 = 11.000
3 × 7 × 17 × 31 = 11.067
22 × 3 × 5 × 11 × 17 = 11.220
25 × 3 × 7 × 17 = 11.424
2 × 3 × 52 × 7 × 11 = 11.550
2 × 11 × 17 × 31 = 11.594
3 × 53 × 31 = 11.625
22 × 52 × 7 × 17 = 11.900
5 × 7 × 11 × 31 = 11.935
25 × 3 × 53 = 12.000
25 × 5 × 7 × 11 = 12.320
24 × 52 × 31 = 12.400
23 × 3 × 17 × 31 = 12.648
2 × 3 × 53 × 17 = 12.750
22 × 3 × 5 × 7 × 31 = 13.020
2 × 5 × 7 × 11 × 17 = 13.090
52 × 17 × 31 = 13.175
24 × 3 × 52 × 11 = 13.200
25 × 52 × 17 = 13.600
23 × 5 × 11 × 31 = 13.640
24 × 53 × 7 = 14.000
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
53 × 7 × 17 = 14.875
25 × 3 × 5 × 31 = 14.880
24 × 5 × 11 × 17 = 14.960
23 × 52 × 7 × 11 = 15.400
22 × 53 × 31 = 15.500
22 × 3 × 7 × 11 × 17 = 15.708
2 × 3 × 5 × 17 × 31 = 15.810
3 × 52 × 7 × 31 = 16.275
24 × 3 × 11 × 31 = 16.368
22 × 3 × 53 × 11 = 16.500
25 × 3 × 52 × 7 = 16.800
25 × 17 × 31 = 16.864
23 × 53 × 17 = 17.000
2 × 52 × 11 × 31 = 17.050
24 × 5 × 7 × 31 = 17.360
3 × 11 × 17 × 31 = 17.391
2 × 3 × 52 × 7 × 17 = 17.850
25 × 3 × 11 × 17 = 17.952
5 × 7 × 17 × 31 = 18.445
24 × 3 × 5 × 7 × 11 = 18.480
23 × 3 × 52 × 31 = 18.600
22 × 52 × 11 × 17 = 18.700
25 × 5 × 7 × 17 = 19.040
23 × 7 × 11 × 31 = 19.096
2 × 53 × 7 × 11 = 19.250
3 × 5 × 7 × 11 × 17 = 19.635
24 × 3 × 52 × 17 = 20.400
22 × 3 × 5 × 11 × 31 = 20.460
25 × 3 × 7 × 31 = 20.832
24 × 7 × 11 × 17 = 20.944
23 × 3 × 53 × 7 = 21.000
23 × 5 × 17 × 31 = 21.080
22 × 52 × 7 × 31 = 21.700
24 × 53 × 11 = 22.000
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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 × 3 × 53 × 31 = 23.250
53 × 11 × 17 = 23.375
23 × 52 × 7 × 17 = 23.800
2 × 5 × 7 × 11 × 31 = 23.870
25 × 52 × 31 = 24.800
24 × 3 × 17 × 31 = 25.296
22 × 3 × 53 × 17 = 25.500
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
25 × 3 × 52 × 11 = 26.400
53 × 7 × 31 = 27.125
24 × 5 × 11 × 31 = 27.280
25 × 53 × 7 = 28.000
2 × 3 × 52 × 11 × 17 = 28.050
24 × 3 × 5 × 7 × 17 = 28.560
22 × 3 × 7 × 11 × 31 = 28.644
3 × 53 × 7 × 11 = 28.875
5 × 11 × 17 × 31 = 28.985
23 × 7 × 17 × 31 = 29.512
2 × 53 × 7 × 17 = 29.750
25 × 5 × 11 × 17 = 29.920
24 × 52 × 7 × 11 = 30.800
23 × 53 × 31 = 31.000
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
25 × 3 × 11 × 31 = 32.736
23 × 3 × 53 × 11 = 33.000
24 × 53 × 17 = 34.000
22 × 52 × 11 × 31 = 34.100
25 × 5 × 7 × 31 = 34.720
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
25 × 3 × 5 × 7 × 11 = 36.960
24 × 3 × 52 × 31 = 37.200
23 × 52 × 11 × 17 = 37.400
24 × 7 × 11 × 31 = 38.192
22 × 53 × 7 × 11 = 38.500
2 × 3 × 5 × 7 × 11 × 17 = 39.270
3 × 52 × 17 × 31 = 39.525
7 × 11 × 17 × 31 = 40.579
25 × 3 × 52 × 17 = 40.800
23 × 3 × 5 × 11 × 31 = 40.920
25 × 7 × 11 × 17 = 41.888
24 × 3 × 53 × 7 = 42.000
24 × 5 × 17 × 31 = 42.160
53 × 11 × 31 = 42.625
23 × 52 × 7 × 31 = 43.400
25 × 53 × 11 = 44.000
22 × 3 × 7 × 17 × 31 = 44.268
3 × 53 × 7 × 17 = 44.625
24 × 3 × 5 × 11 × 17 = 44.880
23 × 3 × 52 × 7 × 11 = 46.200
23 × 11 × 17 × 31 = 46.376
22 × 3 × 53 × 31 = 46.500
2 × 53 × 11 × 17 = 46.750
24 × 52 × 7 × 17 = 47.600
22 × 5 × 7 × 11 × 31 = 47.740
25 × 3 × 17 × 31 = 50.592
23 × 3 × 53 × 17 = 51.000
2 × 3 × 52 × 11 × 31 = 51.150
24 × 3 × 5 × 7 × 31 = 52.080
23 × 5 × 7 × 11 × 17 = 52.360
22 × 52 × 17 × 31 = 52.700
2 × 53 × 7 × 31 = 54.250
25 × 5 × 11 × 31 = 54.560
3 × 5 × 7 × 17 × 31 = 55.335
22 × 3 × 52 × 11 × 17 = 56.100
25 × 3 × 5 × 7 × 17 = 57.120
23 × 3 × 7 × 11 × 31 = 57.288
2 × 3 × 53 × 7 × 11 = 57.750
2 × 5 × 11 × 17 × 31 = 57.970
24 × 7 × 17 × 31 = 59.024
22 × 53 × 7 × 17 = 59.500
52 × 7 × 11 × 31 = 59.675
25 × 52 × 7 × 11 = 61.600
24 × 53 × 31 = 62.000
24 × 3 × 7 × 11 × 17 = 62.832
23 × 3 × 5 × 17 × 31 = 63.240
22 × 3 × 52 × 7 × 31 = 65.100
2 × 52 × 7 × 11 × 17 = 65.450
53 × 17 × 31 = 65.875
24 × 3 × 53 × 11 = 66.000
25 × 53 × 17 = 68.000
23 × 52 × 11 × 31 = 68.200
22 × 3 × 11 × 17 × 31 = 69.564
3 × 53 × 11 × 17 = 70.125
23 × 3 × 52 × 7 × 17 = 71.400
2 × 3 × 5 × 7 × 11 × 31 = 71.610
22 × 5 × 7 × 17 × 31 = 73.780
25 × 3 × 52 × 31 = 74.400
24 × 52 × 11 × 17 = 74.800
25 × 7 × 11 × 31 = 76.384
23 × 53 × 7 × 11 = 77.000
22 × 3 × 5 × 7 × 11 × 17 = 78.540
2 × 3 × 52 × 17 × 31 = 79.050
2 × 7 × 11 × 17 × 31 = 81.158
3 × 53 × 7 × 31 = 81.375
24 × 3 × 5 × 11 × 31 = 81.840
25 × 3 × 53 × 7 = 84.000
25 × 5 × 17 × 31 = 84.320
2 × 53 × 11 × 31 = 85.250
24 × 52 × 7 × 31 = 86.800
3 × 5 × 11 × 17 × 31 = 86.955
23 × 3 × 7 × 17 × 31 = 88.536
2 × 3 × 53 × 7 × 17 = 89.250
25 × 3 × 5 × 11 × 17 = 89.760
52 × 7 × 17 × 31 = 92.225
24 × 3 × 52 × 7 × 11 = 92.400
24 × 11 × 17 × 31 = 92.752
23 × 3 × 53 × 31 = 93.000
22 × 53 × 11 × 17 = 93.500
25 × 52 × 7 × 17 = 95.200
23 × 5 × 7 × 11 × 31 = 95.480
3 × 52 × 7 × 11 × 17 = 98.175
24 × 3 × 53 × 17 = 102.000
22 × 3 × 52 × 11 × 31 = 102.300
25 × 3 × 5 × 7 × 31 = 104.160
24 × 5 × 7 × 11 × 17 = 104.720
23 × 52 × 17 × 31 = 105.400
22 × 53 × 7 × 31 = 108.500
2 × 3 × 5 × 7 × 17 × 31 = 110.670
23 × 3 × 52 × 11 × 17 = 112.200
24 × 3 × 7 × 11 × 31 = 114.576
22 × 3 × 53 × 7 × 11 = 115.500
22 × 5 × 11 × 17 × 31 = 115.940
25 × 7 × 17 × 31 = 118.048
23 × 53 × 7 × 17 = 119.000
2 × 52 × 7 × 11 × 31 = 119.350
3 × 7 × 11 × 17 × 31 = 121.737
25 × 53 × 31 = 124.000
25 × 3 × 7 × 11 × 17 = 125.664
24 × 3 × 5 × 17 × 31 = 126.480
3 × 53 × 11 × 31 = 127.875
23 × 3 × 52 × 7 × 31 = 130.200
22 × 52 × 7 × 11 × 17 = 130.900
2 × 53 × 17 × 31 = 131.750
25 × 3 × 53 × 11 = 132.000
24 × 52 × 11 × 31 = 136.400
23 × 3 × 11 × 17 × 31 = 139.128
2 × 3 × 53 × 11 × 17 = 140.250
24 × 3 × 52 × 7 × 17 = 142.800
22 × 3 × 5 × 7 × 11 × 31 = 143.220
52 × 11 × 17 × 31 = 144.925
23 × 5 × 7 × 17 × 31 = 147.560
25 × 52 × 11 × 17 = 149.600
24 × 53 × 7 × 11 = 154.000
23 × 3 × 5 × 7 × 11 × 17 = 157.080
22 × 3 × 52 × 17 × 31 = 158.100
22 × 7 × 11 × 17 × 31 = 162.316
2 × 3 × 53 × 7 × 31 = 162.750
53 × 7 × 11 × 17 = 163.625
25 × 3 × 5 × 11 × 31 = 163.680
22 × 53 × 11 × 31 = 170.500
25 × 52 × 7 × 31 = 173.600
2 × 3 × 5 × 11 × 17 × 31 = 173.910
24 × 3 × 7 × 17 × 31 = 177.072
22 × 3 × 53 × 7 × 17 = 178.500
3 × 52 × 7 × 11 × 31 = 179.025
2 × 52 × 7 × 17 × 31 = 184.450
25 × 3 × 52 × 7 × 11 = 184.800
25 × 11 × 17 × 31 = 185.504
24 × 3 × 53 × 31 = 186.000
23 × 53 × 11 × 17 = 187.000
24 × 5 × 7 × 11 × 31 = 190.960
2 × 3 × 52 × 7 × 11 × 17 = 196.350
3 × 53 × 17 × 31 = 197.625
5 × 7 × 11 × 17 × 31 = 202.895
25 × 3 × 53 × 17 = 204.000
23 × 3 × 52 × 11 × 31 = 204.600
25 × 5 × 7 × 11 × 17 = 209.440
24 × 52 × 17 × 31 = 210.800
23 × 53 × 7 × 31 = 217.000
22 × 3 × 5 × 7 × 17 × 31 = 221.340
24 × 3 × 52 × 11 × 17 = 224.400
25 × 3 × 7 × 11 × 31 = 229.152
23 × 3 × 53 × 7 × 11 = 231.000
23 × 5 × 11 × 17 × 31 = 231.880
24 × 53 × 7 × 17 = 238.000
22 × 52 × 7 × 11 × 31 = 238.700
2 × 3 × 7 × 11 × 17 × 31 = 243.474
25 × 3 × 5 × 17 × 31 = 252.960
2 × 3 × 53 × 11 × 31 = 255.750
24 × 3 × 52 × 7 × 31 = 260.400
23 × 52 × 7 × 11 × 17 = 261.800
22 × 53 × 17 × 31 = 263.500
25 × 52 × 11 × 31 = 272.800
3 × 52 × 7 × 17 × 31 = 276.675
24 × 3 × 11 × 17 × 31 = 278.256
22 × 3 × 53 × 11 × 17 = 280.500
25 × 3 × 52 × 7 × 17 = 285.600
23 × 3 × 5 × 7 × 11 × 31 = 286.440
2 × 52 × 11 × 17 × 31 = 289.850
24 × 5 × 7 × 17 × 31 = 295.120
53 × 7 × 11 × 31 = 298.375
25 × 53 × 7 × 11 = 308.000
24 × 3 × 5 × 7 × 11 × 17 = 314.160
23 × 3 × 52 × 17 × 31 = 316.200
23 × 7 × 11 × 17 × 31 = 324.632
22 × 3 × 53 × 7 × 31 = 325.500
2 × 53 × 7 × 11 × 17 = 327.250
23 × 53 × 11 × 31 = 341.000
22 × 3 × 5 × 11 × 17 × 31 = 347.820
25 × 3 × 7 × 17 × 31 = 354.144
23 × 3 × 53 × 7 × 17 = 357.000
2 × 3 × 52 × 7 × 11 × 31 = 358.050
22 × 52 × 7 × 17 × 31 = 368.900
25 × 3 × 53 × 31 = 372.000
24 × 53 × 11 × 17 = 374.000
25 × 5 × 7 × 11 × 31 = 381.920
22 × 3 × 52 × 7 × 11 × 17 = 392.700
2 × 3 × 53 × 17 × 31 = 395.250
2 × 5 × 7 × 11 × 17 × 31 = 405.790
24 × 3 × 52 × 11 × 31 = 409.200
25 × 52 × 17 × 31 = 421.600
24 × 53 × 7 × 31 = 434.000
3 × 52 × 11 × 17 × 31 = 434.775
23 × 3 × 5 × 7 × 17 × 31 = 442.680
25 × 3 × 52 × 11 × 17 = 448.800
53 × 7 × 17 × 31 = 461.125
24 × 3 × 53 × 7 × 11 = 462.000
24 × 5 × 11 × 17 × 31 = 463.760
25 × 53 × 7 × 17 = 476.000
23 × 52 × 7 × 11 × 31 = 477.400
22 × 3 × 7 × 11 × 17 × 31 = 486.948
3 × 53 × 7 × 11 × 17 = 490.875
22 × 3 × 53 × 11 × 31 = 511.500
25 × 3 × 52 × 7 × 31 = 520.800
24 × 52 × 7 × 11 × 17 = 523.600
23 × 53 × 17 × 31 = 527.000
2 × 3 × 52 × 7 × 17 × 31 = 553.350
25 × 3 × 11 × 17 × 31 = 556.512
23 × 3 × 53 × 11 × 17 = 561.000
24 × 3 × 5 × 7 × 11 × 31 = 572.880
22 × 52 × 11 × 17 × 31 = 579.700
25 × 5 × 7 × 17 × 31 = 590.240
2 × 53 × 7 × 11 × 31 = 596.750
3 × 5 × 7 × 11 × 17 × 31 = 608.685
25 × 3 × 5 × 7 × 11 × 17 = 628.320
24 × 3 × 52 × 17 × 31 = 632.400
24 × 7 × 11 × 17 × 31 = 649.264
23 × 3 × 53 × 7 × 31 = 651.000
22 × 53 × 7 × 11 × 17 = 654.500
24 × 53 × 11 × 31 = 682.000
23 × 3 × 5 × 11 × 17 × 31 = 695.640
24 × 3 × 53 × 7 × 17 = 714.000
22 × 3 × 52 × 7 × 11 × 31 = 716.100
53 × 11 × 17 × 31 = 724.625
23 × 52 × 7 × 17 × 31 = 737.800
25 × 53 × 11 × 17 = 748.000
23 × 3 × 52 × 7 × 11 × 17 = 785.400
22 × 3 × 53 × 17 × 31 = 790.500
22 × 5 × 7 × 11 × 17 × 31 = 811.580
25 × 3 × 52 × 11 × 31 = 818.400
25 × 53 × 7 × 31 = 868.000
2 × 3 × 52 × 11 × 17 × 31 = 869.550
24 × 3 × 5 × 7 × 17 × 31 = 885.360
3 × 53 × 7 × 11 × 31 = 895.125
2 × 53 × 7 × 17 × 31 = 922.250
25 × 3 × 53 × 7 × 11 = 924.000
25 × 5 × 11 × 17 × 31 = 927.520
24 × 52 × 7 × 11 × 31 = 954.800
23 × 3 × 7 × 11 × 17 × 31 = 973.896
2 × 3 × 53 × 7 × 11 × 17 = 981.750
52 × 7 × 11 × 17 × 31 = 1.014.475
23 × 3 × 53 × 11 × 31 = 1.023.000
25 × 52 × 7 × 11 × 17 = 1.047.200
24 × 53 × 17 × 31 = 1.054.000
22 × 3 × 52 × 7 × 17 × 31 = 1.106.700
24 × 3 × 53 × 11 × 17 = 1.122.000
25 × 3 × 5 × 7 × 11 × 31 = 1.145.760
23 × 52 × 11 × 17 × 31 = 1.159.400
22 × 53 × 7 × 11 × 31 = 1.193.500
2 × 3 × 5 × 7 × 11 × 17 × 31 = 1.217.370
25 × 3 × 52 × 17 × 31 = 1.264.800
25 × 7 × 11 × 17 × 31 = 1.298.528
24 × 3 × 53 × 7 × 31 = 1.302.000
23 × 53 × 7 × 11 × 17 = 1.309.000
25 × 53 × 11 × 31 = 1.364.000
3 × 53 × 7 × 17 × 31 = 1.383.375
24 × 3 × 5 × 11 × 17 × 31 = 1.391.280
25 × 3 × 53 × 7 × 17 = 1.428.000
23 × 3 × 52 × 7 × 11 × 31 = 1.432.200
2 × 53 × 11 × 17 × 31 = 1.449.250
24 × 52 × 7 × 17 × 31 = 1.475.600
24 × 3 × 52 × 7 × 11 × 17 = 1.570.800
23 × 3 × 53 × 17 × 31 = 1.581.000
23 × 5 × 7 × 11 × 17 × 31 = 1.623.160
22 × 3 × 52 × 11 × 17 × 31 = 1.739.100
25 × 3 × 5 × 7 × 17 × 31 = 1.770.720
2 × 3 × 53 × 7 × 11 × 31 = 1.790.250
22 × 53 × 7 × 17 × 31 = 1.844.500
25 × 52 × 7 × 11 × 31 = 1.909.600
24 × 3 × 7 × 11 × 17 × 31 = 1.947.792
22 × 3 × 53 × 7 × 11 × 17 = 1.963.500
2 × 52 × 7 × 11 × 17 × 31 = 2.028.950
24 × 3 × 53 × 11 × 31 = 2.046.000
25 × 53 × 17 × 31 = 2.108.000
3 × 53 × 11 × 17 × 31 = 2.173.875
23 × 3 × 52 × 7 × 17 × 31 = 2.213.400
25 × 3 × 53 × 11 × 17 = 2.244.000
24 × 52 × 11 × 17 × 31 = 2.318.800
23 × 53 × 7 × 11 × 31 = 2.387.000
22 × 3 × 5 × 7 × 11 × 17 × 31 = 2.434.740
25 × 3 × 53 × 7 × 31 = 2.604.000
24 × 53 × 7 × 11 × 17 = 2.618.000
2 × 3 × 53 × 7 × 17 × 31 = 2.766.750
25 × 3 × 5 × 11 × 17 × 31 = 2.782.560
24 × 3 × 52 × 7 × 11 × 31 = 2.864.400
22 × 53 × 11 × 17 × 31 = 2.898.500
25 × 52 × 7 × 17 × 31 = 2.951.200
3 × 52 × 7 × 11 × 17 × 31 = 3.043.425
25 × 3 × 52 × 7 × 11 × 17 = 3.141.600
24 × 3 × 53 × 17 × 31 = 3.162.000
24 × 5 × 7 × 11 × 17 × 31 = 3.246.320
23 × 3 × 52 × 11 × 17 × 31 = 3.478.200
22 × 3 × 53 × 7 × 11 × 31 = 3.580.500
23 × 53 × 7 × 17 × 31 = 3.689.000
25 × 3 × 7 × 11 × 17 × 31 = 3.895.584
23 × 3 × 53 × 7 × 11 × 17 = 3.927.000
22 × 52 × 7 × 11 × 17 × 31 = 4.057.900
25 × 3 × 53 × 11 × 31 = 4.092.000
2 × 3 × 53 × 11 × 17 × 31 = 4.347.750
24 × 3 × 52 × 7 × 17 × 31 = 4.426.800
25 × 52 × 11 × 17 × 31 = 4.637.600
24 × 53 × 7 × 11 × 31 = 4.774.000
23 × 3 × 5 × 7 × 11 × 17 × 31 = 4.869.480
53 × 7 × 11 × 17 × 31 = 5.072.375
25 × 53 × 7 × 11 × 17 = 5.236.000
22 × 3 × 53 × 7 × 17 × 31 = 5.533.500
25 × 3 × 52 × 7 × 11 × 31 = 5.728.800
23 × 53 × 11 × 17 × 31 = 5.797.000
2 × 3 × 52 × 7 × 11 × 17 × 31 = 6.086.850
25 × 3 × 53 × 17 × 31 = 6.324.000
25 × 5 × 7 × 11 × 17 × 31 = 6.492.640
24 × 3 × 52 × 11 × 17 × 31 = 6.956.400
23 × 3 × 53 × 7 × 11 × 31 = 7.161.000
24 × 53 × 7 × 17 × 31 = 7.378.000
24 × 3 × 53 × 7 × 11 × 17 = 7.854.000
23 × 52 × 7 × 11 × 17 × 31 = 8.115.800
22 × 3 × 53 × 11 × 17 × 31 = 8.695.500
25 × 3 × 52 × 7 × 17 × 31 = 8.853.600
25 × 53 × 7 × 11 × 31 = 9.548.000
24 × 3 × 5 × 7 × 11 × 17 × 31 = 9.738.960
2 × 53 × 7 × 11 × 17 × 31 = 10.144.750
23 × 3 × 53 × 7 × 17 × 31 = 11.067.000
24 × 53 × 11 × 17 × 31 = 11.594.000
22 × 3 × 52 × 7 × 11 × 17 × 31 = 12.173.700
25 × 3 × 52 × 11 × 17 × 31 = 13.912.800
24 × 3 × 53 × 7 × 11 × 31 = 14.322.000
25 × 53 × 7 × 17 × 31 = 14.756.000
3 × 53 × 7 × 11 × 17 × 31 = 15.217.125
25 × 3 × 53 × 7 × 11 × 17 = 15.708.000
24 × 52 × 7 × 11 × 17 × 31 = 16.231.600
23 × 3 × 53 × 11 × 17 × 31 = 17.391.000
25 × 3 × 5 × 7 × 11 × 17 × 31 = 19.477.920
22 × 53 × 7 × 11 × 17 × 31 = 20.289.500
24 × 3 × 53 × 7 × 17 × 31 = 22.134.000
25 × 53 × 11 × 17 × 31 = 23.188.000
23 × 3 × 52 × 7 × 11 × 17 × 31 = 24.347.400
25 × 3 × 53 × 7 × 11 × 31 = 28.644.000
2 × 3 × 53 × 7 × 11 × 17 × 31 = 30.434.250
25 × 52 × 7 × 11 × 17 × 31 = 32.463.200
24 × 3 × 53 × 11 × 17 × 31 = 34.782.000
23 × 53 × 7 × 11 × 17 × 31 = 40.579.000
25 × 3 × 53 × 7 × 17 × 31 = 44.268.000
24 × 3 × 52 × 7 × 11 × 17 × 31 = 48.694.800
22 × 3 × 53 × 7 × 11 × 17 × 31 = 60.868.500
25 × 3 × 53 × 11 × 17 × 31 = 69.564.000
24 × 53 × 7 × 11 × 17 × 31 = 81.158.000
25 × 3 × 52 × 7 × 11 × 17 × 31 = 97.389.600
23 × 3 × 53 × 7 × 11 × 17 × 31 = 121.737.000
25 × 53 × 7 × 11 × 17 × 31 = 162.316.000
24 × 3 × 53 × 7 × 11 × 17 × 31 = 243.474.000
25 × 3 × 53 × 7 × 11 × 17 × 31 = 486.948.000

La respuesta final:
(desplazarse hacia abajo)

486.948.000 tiene 768 divisores:
1; 2; 3; 4; 5; 6; 7; 8; 10; 11; 12; 14; 15; 16; 17; 20; 21; 22; 24; 25; 28; 30; 31; 32; 33; 34; 35; 40; 42; 44; 48; 50; 51; 55; 56; 60; 62; 66; 68; 70; 75; 77; 80; 84; 85; 88; 93; 96; 100; 102; 105; 110; 112; 119; 120; 124; 125; 132; 136; 140; 150; 154; 155; 160; 165; 168; 170; 175; 176; 186; 187; 200; 204; 210; 217; 220; 224; 231; 238; 240; 248; 250; 255; 264; 272; 275; 280; 300; 308; 310; 330; 336; 340; 341; 350; 352; 357; 372; 374; 375; 385; 400; 408; 420; 425; 434; 440; 462; 465; 476; 480; 496; 500; 510; 525; 527; 528; 544; 550; 560; 561; 595; 600; 616; 620; 651; 660; 672; 680; 682; 700; 714; 744; 748; 750; 770; 775; 800; 816; 825; 840; 850; 868; 875; 880; 924; 930; 935; 952; 992; 1.000; 1.020; 1.023; 1.050; 1.054; 1.056; 1.085; 1.100; 1.120; 1.122; 1.155; 1.190; 1.200; 1.232; 1.240; 1.275; 1.302; 1.309; 1.320; 1.360; 1.364; 1.375; 1.400; 1.428; 1.488; 1.496; 1.500; 1.540; 1.550; 1.581; 1.632; 1.650; 1.680; 1.700; 1.705; 1.736; 1.750; 1.760; 1.785; 1.848; 1.860; 1.870; 1.904; 1.925; 2.000; 2.040; 2.046; 2.100; 2.108; 2.125; 2.170; 2.200; 2.244; 2.310; 2.325; 2.380; 2.387; 2.400; 2.464; 2.480; 2.550; 2.604; 2.618; 2.625; 2.635; 2.640; 2.720; 2.728; 2.750; 2.800; 2.805; 2.856; 2.975; 2.976; 2.992; 3.000; 3.080; 3.100; 3.162; 3.255; 3.300; 3.360; 3.400; 3.410; 3.472; 3.500; 3.570; 3.689; 3.696; 3.720; 3.740; 3.808; 3.850; 3.875; 3.927; 4.000; 4.080; 4.092; 4.125; 4.200; 4.216; 4.250; 4.340; 4.400; 4.488; 4.620; 4.650; 4.675; 4.760; 4.774; 4.960; 5.100; 5.115; 5.208; 5.236; 5.250; 5.270; 5.280; 5.425; 5.456; 5.500; 5.600; 5.610; 5.712; 5.775; 5.797; 5.950; 5.984; 6.000; 6.160; 6.200; 6.324; 6.375; 6.510; 6.545; 6.600; 6.800; 6.820; 6.944; 7.000; 7.140; 7.161; 7.378; 7.392; 7.440; 7.480; 7.700; 7.750; 7.854; 7.905; 8.160; 8.184; 8.250; 8.400; 8.432; 8.500; 8.525; 8.680; 8.800; 8.925; 8.976; 9.240; 9.300; 9.350; 9.520; 9.548; 9.625; 10.200; 10.230; 10.416; 10.472; 10.500; 10.540; 10.850; 10.912; 11.000; 11.067; 11.220; 11.424; 11.550; 11.594; 11.625; 11.900; 11.935; 12.000; 12.320; 12.400; 12.648; 12.750; 13.020; 13.090; 13.175; 13.200; 13.600; 13.640; 14.000; 14.025; 14.280; 14.322; 14.756; 14.875; 14.880; 14.960; 15.400; 15.500; 15.708; 15.810; 16.275; 16.368; 16.500; 16.800; 16.864; 17.000; 17.050; 17.360; 17.391; 17.850; 17.952; 18.445; 18.480; 18.600; 18.700; 19.040; 19.096; 19.250; 19.635; 20.400; 20.460; 20.832; 20.944; 21.000; 21.080; 21.700; 22.000; 22.134; 22.440; 23.100; 23.188; 23.250; 23.375; 23.800; 23.870; 24.800; 25.296; 25.500; 25.575; 26.040; 26.180; 26.350; 26.400; 27.125; 27.280; 28.000; 28.050; 28.560; 28.644; 28.875; 28.985; 29.512; 29.750; 29.920; 30.800; 31.000; 31.416; 31.620; 32.550; 32.725; 32.736; 33.000; 34.000; 34.100; 34.720; 34.782; 35.700; 35.805; 36.890; 36.960; 37.200; 37.400; 38.192; 38.500; 39.270; 39.525; 40.579; 40.800; 40.920; 41.888; 42.000; 42.160; 42.625; 43.400; 44.000; 44.268; 44.625; 44.880; 46.200; 46.376; 46.500; 46.750; 47.600; 47.740; 50.592; 51.000; 51.150; 52.080; 52.360; 52.700; 54.250; 54.560; 55.335; 56.100; 57.120; 57.288; 57.750; 57.970; 59.024; 59.500; 59.675; 61.600; 62.000; 62.832; 63.240; 65.100; 65.450; 65.875; 66.000; 68.000; 68.200; 69.564; 70.125; 71.400; 71.610; 73.780; 74.400; 74.800; 76.384; 77.000; 78.540; 79.050; 81.158; 81.375; 81.840; 84.000; 84.320; 85.250; 86.800; 86.955; 88.536; 89.250; 89.760; 92.225; 92.400; 92.752; 93.000; 93.500; 95.200; 95.480; 98.175; 102.000; 102.300; 104.160; 104.720; 105.400; 108.500; 110.670; 112.200; 114.576; 115.500; 115.940; 118.048; 119.000; 119.350; 121.737; 124.000; 125.664; 126.480; 127.875; 130.200; 130.900; 131.750; 132.000; 136.400; 139.128; 140.250; 142.800; 143.220; 144.925; 147.560; 149.600; 154.000; 157.080; 158.100; 162.316; 162.750; 163.625; 163.680; 170.500; 173.600; 173.910; 177.072; 178.500; 179.025; 184.450; 184.800; 185.504; 186.000; 187.000; 190.960; 196.350; 197.625; 202.895; 204.000; 204.600; 209.440; 210.800; 217.000; 221.340; 224.400; 229.152; 231.000; 231.880; 238.000; 238.700; 243.474; 252.960; 255.750; 260.400; 261.800; 263.500; 272.800; 276.675; 278.256; 280.500; 285.600; 286.440; 289.850; 295.120; 298.375; 308.000; 314.160; 316.200; 324.632; 325.500; 327.250; 341.000; 347.820; 354.144; 357.000; 358.050; 368.900; 372.000; 374.000; 381.920; 392.700; 395.250; 405.790; 409.200; 421.600; 434.000; 434.775; 442.680; 448.800; 461.125; 462.000; 463.760; 476.000; 477.400; 486.948; 490.875; 511.500; 520.800; 523.600; 527.000; 553.350; 556.512; 561.000; 572.880; 579.700; 590.240; 596.750; 608.685; 628.320; 632.400; 649.264; 651.000; 654.500; 682.000; 695.640; 714.000; 716.100; 724.625; 737.800; 748.000; 785.400; 790.500; 811.580; 818.400; 868.000; 869.550; 885.360; 895.125; 922.250; 924.000; 927.520; 954.800; 973.896; 981.750; 1.014.475; 1.023.000; 1.047.200; 1.054.000; 1.106.700; 1.122.000; 1.145.760; 1.159.400; 1.193.500; 1.217.370; 1.264.800; 1.298.528; 1.302.000; 1.309.000; 1.364.000; 1.383.375; 1.391.280; 1.428.000; 1.432.200; 1.449.250; 1.475.600; 1.570.800; 1.581.000; 1.623.160; 1.739.100; 1.770.720; 1.790.250; 1.844.500; 1.909.600; 1.947.792; 1.963.500; 2.028.950; 2.046.000; 2.108.000; 2.173.875; 2.213.400; 2.244.000; 2.318.800; 2.387.000; 2.434.740; 2.604.000; 2.618.000; 2.766.750; 2.782.560; 2.864.400; 2.898.500; 2.951.200; 3.043.425; 3.141.600; 3.162.000; 3.246.320; 3.478.200; 3.580.500; 3.689.000; 3.895.584; 3.927.000; 4.057.900; 4.092.000; 4.347.750; 4.426.800; 4.637.600; 4.774.000; 4.869.480; 5.072.375; 5.236.000; 5.533.500; 5.728.800; 5.797.000; 6.086.850; 6.324.000; 6.492.640; 6.956.400; 7.161.000; 7.378.000; 7.854.000; 8.115.800; 8.695.500; 8.853.600; 9.548.000; 9.738.960; 10.144.750; 11.067.000; 11.594.000; 12.173.700; 13.912.800; 14.322.000; 14.756.000; 15.217.125; 15.708.000; 16.231.600; 17.391.000; 19.477.920; 20.289.500; 22.134.000; 23.188.000; 24.347.400; 28.644.000; 30.434.250; 32.463.200; 34.782.000; 40.579.000; 44.268.000; 48.694.800; 60.868.500; 69.564.000; 81.158.000; 97.389.600; 121.737.000; 162.316.000; 243.474.000 y 486.948.000
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.


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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.

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La lista de todos los divisores calculados de uno o 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".