Given the Number 106,634,880, Calculate (Find) All the Factors (All the Divisors) of the Number 106,634,880 (the Proper, the Improper and the Prime Factors)

All the factors (divisors) of the number 106,634,880

1. Carry out the prime factorization of the number 106,634,880:

The prime factorization of a number: finding the prime numbers that multiply together to make that number.

106,634,880 = 27 × 34 × 5 × 112 × 17
106,634,880 is not a prime number but a composite one.

» Online calculator. Check whether a number is prime or not. The prime factorization of composite numbers

* Prime number: a natural number that is divisible (divided evenly) only by 1 and itself. A prime number has exactly two factors: 1 and the number itself.
* Composite number: a natural number that has at least one other factor than 1 and itself.


2. Multiply the prime factors of the number 106,634,880

Multiply the prime factors involved in the prime factorization of the number in all their unique combinations, that give different results.

Also consider the exponents of these prime factors.

Also add 1 to the list of factors (divisors). All the numbers are divisible by 1.


All the factors (divisors) are listed below - in ascending order

The list of factors (divisors):

neither prime nor composite = 1
prime factor = 2
prime factor = 3
22 = 4
prime factor = 5
2 × 3 = 6
23 = 8
32 = 9
2 × 5 = 10
prime factor = 11
22 × 3 = 12
3 × 5 = 15
24 = 16
prime factor = 17
2 × 32 = 18
22 × 5 = 20
2 × 11 = 22
23 × 3 = 24
33 = 27
2 × 3 × 5 = 30
25 = 32
3 × 11 = 33
2 × 17 = 34
22 × 32 = 36
23 × 5 = 40
22 × 11 = 44
32 × 5 = 45
24 × 3 = 48
3 × 17 = 51
2 × 33 = 54
5 × 11 = 55
22 × 3 × 5 = 60
26 = 64
2 × 3 × 11 = 66
22 × 17 = 68
23 × 32 = 72
24 × 5 = 80
34 = 81
5 × 17 = 85
23 × 11 = 88
2 × 32 × 5 = 90
25 × 3 = 96
32 × 11 = 99
2 × 3 × 17 = 102
22 × 33 = 108
2 × 5 × 11 = 110
23 × 3 × 5 = 120
112 = 121
27 = 128
22 × 3 × 11 = 132
33 × 5 = 135
23 × 17 = 136
24 × 32 = 144
32 × 17 = 153
25 × 5 = 160
2 × 34 = 162
3 × 5 × 11 = 165
2 × 5 × 17 = 170
24 × 11 = 176
22 × 32 × 5 = 180
11 × 17 = 187
26 × 3 = 192
2 × 32 × 11 = 198
22 × 3 × 17 = 204
23 × 33 = 216
22 × 5 × 11 = 220
24 × 3 × 5 = 240
2 × 112 = 242
3 × 5 × 17 = 255
23 × 3 × 11 = 264
2 × 33 × 5 = 270
24 × 17 = 272
25 × 32 = 288
33 × 11 = 297
2 × 32 × 17 = 306
26 × 5 = 320
22 × 34 = 324
2 × 3 × 5 × 11 = 330
22 × 5 × 17 = 340
25 × 11 = 352
23 × 32 × 5 = 360
3 × 112 = 363
2 × 11 × 17 = 374
27 × 3 = 384
22 × 32 × 11 = 396
34 × 5 = 405
23 × 3 × 17 = 408
24 × 33 = 432
23 × 5 × 11 = 440
33 × 17 = 459
25 × 3 × 5 = 480
22 × 112 = 484
32 × 5 × 11 = 495
2 × 3 × 5 × 17 = 510
24 × 3 × 11 = 528
22 × 33 × 5 = 540
25 × 17 = 544
3 × 11 × 17 = 561
26 × 32 = 576
2 × 33 × 11 = 594
5 × 112 = 605
22 × 32 × 17 = 612
27 × 5 = 640
23 × 34 = 648
22 × 3 × 5 × 11 = 660
23 × 5 × 17 = 680
26 × 11 = 704
24 × 32 × 5 = 720
2 × 3 × 112 = 726
22 × 11 × 17 = 748
32 × 5 × 17 = 765
23 × 32 × 11 = 792
2 × 34 × 5 = 810
24 × 3 × 17 = 816
25 × 33 = 864
24 × 5 × 11 = 880
34 × 11 = 891
2 × 33 × 17 = 918
5 × 11 × 17 = 935
26 × 3 × 5 = 960
23 × 112 = 968
2 × 32 × 5 × 11 = 990
22 × 3 × 5 × 17 = 1,020
25 × 3 × 11 = 1,056
23 × 33 × 5 = 1,080
26 × 17 = 1,088
32 × 112 = 1,089
2 × 3 × 11 × 17 = 1,122
27 × 32 = 1,152
22 × 33 × 11 = 1,188
2 × 5 × 112 = 1,210
23 × 32 × 17 = 1,224
24 × 34 = 1,296
23 × 3 × 5 × 11 = 1,320
24 × 5 × 17 = 1,360
34 × 17 = 1,377
27 × 11 = 1,408
25 × 32 × 5 = 1,440
22 × 3 × 112 = 1,452
33 × 5 × 11 = 1,485
23 × 11 × 17 = 1,496
2 × 32 × 5 × 17 = 1,530
24 × 32 × 11 = 1,584
22 × 34 × 5 = 1,620
25 × 3 × 17 = 1,632
32 × 11 × 17 = 1,683
26 × 33 = 1,728
25 × 5 × 11 = 1,760
2 × 34 × 11 = 1,782
3 × 5 × 112 = 1,815
22 × 33 × 17 = 1,836
2 × 5 × 11 × 17 = 1,870
27 × 3 × 5 = 1,920
24 × 112 = 1,936
22 × 32 × 5 × 11 = 1,980
23 × 3 × 5 × 17 = 2,040
112 × 17 = 2,057
26 × 3 × 11 = 2,112
24 × 33 × 5 = 2,160
27 × 17 = 2,176
2 × 32 × 112 = 2,178
22 × 3 × 11 × 17 = 2,244
33 × 5 × 17 = 2,295
23 × 33 × 11 = 2,376
22 × 5 × 112 = 2,420
24 × 32 × 17 = 2,448
25 × 34 = 2,592
24 × 3 × 5 × 11 = 2,640
25 × 5 × 17 = 2,720
2 × 34 × 17 = 2,754
3 × 5 × 11 × 17 = 2,805
26 × 32 × 5 = 2,880
23 × 3 × 112 = 2,904
2 × 33 × 5 × 11 = 2,970
24 × 11 × 17 = 2,992
22 × 32 × 5 × 17 = 3,060
25 × 32 × 11 = 3,168
23 × 34 × 5 = 3,240
26 × 3 × 17 = 3,264
33 × 112 = 3,267
2 × 32 × 11 × 17 = 3,366
27 × 33 = 3,456
26 × 5 × 11 = 3,520
22 × 34 × 11 = 3,564
2 × 3 × 5 × 112 = 3,630
23 × 33 × 17 = 3,672
22 × 5 × 11 × 17 = 3,740
25 × 112 = 3,872
23 × 32 × 5 × 11 = 3,960
24 × 3 × 5 × 17 = 4,080
2 × 112 × 17 = 4,114
27 × 3 × 11 = 4,224
25 × 33 × 5 = 4,320
22 × 32 × 112 = 4,356
34 × 5 × 11 = 4,455
23 × 3 × 11 × 17 = 4,488
2 × 33 × 5 × 17 = 4,590
24 × 33 × 11 = 4,752
23 × 5 × 112 = 4,840
25 × 32 × 17 = 4,896
33 × 11 × 17 = 5,049
26 × 34 = 5,184
25 × 3 × 5 × 11 = 5,280
26 × 5 × 17 = 5,440
32 × 5 × 112 = 5,445
22 × 34 × 17 = 5,508
2 × 3 × 5 × 11 × 17 = 5,610
27 × 32 × 5 = 5,760
24 × 3 × 112 = 5,808
22 × 33 × 5 × 11 = 5,940
25 × 11 × 17 = 5,984
23 × 32 × 5 × 17 = 6,120
3 × 112 × 17 = 6,171
26 × 32 × 11 = 6,336
24 × 34 × 5 = 6,480
27 × 3 × 17 = 6,528
2 × 33 × 112 = 6,534
22 × 32 × 11 × 17 = 6,732
34 × 5 × 17 = 6,885
27 × 5 × 11 = 7,040
23 × 34 × 11 = 7,128
22 × 3 × 5 × 112 = 7,260
24 × 33 × 17 = 7,344
23 × 5 × 11 × 17 = 7,480
26 × 112 = 7,744
24 × 32 × 5 × 11 = 7,920
25 × 3 × 5 × 17 = 8,160
22 × 112 × 17 = 8,228
32 × 5 × 11 × 17 = 8,415
26 × 33 × 5 = 8,640
23 × 32 × 112 = 8,712
2 × 34 × 5 × 11 = 8,910
24 × 3 × 11 × 17 = 8,976
22 × 33 × 5 × 17 = 9,180
25 × 33 × 11 = 9,504
24 × 5 × 112 = 9,680
26 × 32 × 17 = 9,792
34 × 112 = 9,801
2 × 33 × 11 × 17 = 10,098
5 × 112 × 17 = 10,285
This list continues below...

... This list continues from above
27 × 34 = 10,368
26 × 3 × 5 × 11 = 10,560
27 × 5 × 17 = 10,880
2 × 32 × 5 × 112 = 10,890
23 × 34 × 17 = 11,016
22 × 3 × 5 × 11 × 17 = 11,220
25 × 3 × 112 = 11,616
23 × 33 × 5 × 11 = 11,880
26 × 11 × 17 = 11,968
24 × 32 × 5 × 17 = 12,240
2 × 3 × 112 × 17 = 12,342
27 × 32 × 11 = 12,672
25 × 34 × 5 = 12,960
22 × 33 × 112 = 13,068
23 × 32 × 11 × 17 = 13,464
2 × 34 × 5 × 17 = 13,770
24 × 34 × 11 = 14,256
23 × 3 × 5 × 112 = 14,520
25 × 33 × 17 = 14,688
24 × 5 × 11 × 17 = 14,960
34 × 11 × 17 = 15,147
27 × 112 = 15,488
25 × 32 × 5 × 11 = 15,840
26 × 3 × 5 × 17 = 16,320
33 × 5 × 112 = 16,335
23 × 112 × 17 = 16,456
2 × 32 × 5 × 11 × 17 = 16,830
27 × 33 × 5 = 17,280
24 × 32 × 112 = 17,424
22 × 34 × 5 × 11 = 17,820
25 × 3 × 11 × 17 = 17,952
23 × 33 × 5 × 17 = 18,360
32 × 112 × 17 = 18,513
26 × 33 × 11 = 19,008
25 × 5 × 112 = 19,360
27 × 32 × 17 = 19,584
2 × 34 × 112 = 19,602
22 × 33 × 11 × 17 = 20,196
2 × 5 × 112 × 17 = 20,570
27 × 3 × 5 × 11 = 21,120
22 × 32 × 5 × 112 = 21,780
24 × 34 × 17 = 22,032
23 × 3 × 5 × 11 × 17 = 22,440
26 × 3 × 112 = 23,232
24 × 33 × 5 × 11 = 23,760
27 × 11 × 17 = 23,936
25 × 32 × 5 × 17 = 24,480
22 × 3 × 112 × 17 = 24,684
33 × 5 × 11 × 17 = 25,245
26 × 34 × 5 = 25,920
23 × 33 × 112 = 26,136
24 × 32 × 11 × 17 = 26,928
22 × 34 × 5 × 17 = 27,540
25 × 34 × 11 = 28,512
24 × 3 × 5 × 112 = 29,040
26 × 33 × 17 = 29,376
25 × 5 × 11 × 17 = 29,920
2 × 34 × 11 × 17 = 30,294
3 × 5 × 112 × 17 = 30,855
26 × 32 × 5 × 11 = 31,680
27 × 3 × 5 × 17 = 32,640
2 × 33 × 5 × 112 = 32,670
24 × 112 × 17 = 32,912
22 × 32 × 5 × 11 × 17 = 33,660
25 × 32 × 112 = 34,848
23 × 34 × 5 × 11 = 35,640
26 × 3 × 11 × 17 = 35,904
24 × 33 × 5 × 17 = 36,720
2 × 32 × 112 × 17 = 37,026
27 × 33 × 11 = 38,016
26 × 5 × 112 = 38,720
22 × 34 × 112 = 39,204
23 × 33 × 11 × 17 = 40,392
22 × 5 × 112 × 17 = 41,140
23 × 32 × 5 × 112 = 43,560
25 × 34 × 17 = 44,064
24 × 3 × 5 × 11 × 17 = 44,880
27 × 3 × 112 = 46,464
25 × 33 × 5 × 11 = 47,520
26 × 32 × 5 × 17 = 48,960
34 × 5 × 112 = 49,005
23 × 3 × 112 × 17 = 49,368
2 × 33 × 5 × 11 × 17 = 50,490
27 × 34 × 5 = 51,840
24 × 33 × 112 = 52,272
25 × 32 × 11 × 17 = 53,856
23 × 34 × 5 × 17 = 55,080
33 × 112 × 17 = 55,539
26 × 34 × 11 = 57,024
25 × 3 × 5 × 112 = 58,080
27 × 33 × 17 = 58,752
26 × 5 × 11 × 17 = 59,840
22 × 34 × 11 × 17 = 60,588
2 × 3 × 5 × 112 × 17 = 61,710
27 × 32 × 5 × 11 = 63,360
22 × 33 × 5 × 112 = 65,340
25 × 112 × 17 = 65,824
23 × 32 × 5 × 11 × 17 = 67,320
26 × 32 × 112 = 69,696
24 × 34 × 5 × 11 = 71,280
27 × 3 × 11 × 17 = 71,808
25 × 33 × 5 × 17 = 73,440
22 × 32 × 112 × 17 = 74,052
34 × 5 × 11 × 17 = 75,735
27 × 5 × 112 = 77,440
23 × 34 × 112 = 78,408
24 × 33 × 11 × 17 = 80,784
23 × 5 × 112 × 17 = 82,280
24 × 32 × 5 × 112 = 87,120
26 × 34 × 17 = 88,128
25 × 3 × 5 × 11 × 17 = 89,760
32 × 5 × 112 × 17 = 92,565
26 × 33 × 5 × 11 = 95,040
27 × 32 × 5 × 17 = 97,920
2 × 34 × 5 × 112 = 98,010
24 × 3 × 112 × 17 = 98,736
22 × 33 × 5 × 11 × 17 = 100,980
25 × 33 × 112 = 104,544
26 × 32 × 11 × 17 = 107,712
24 × 34 × 5 × 17 = 110,160
2 × 33 × 112 × 17 = 111,078
27 × 34 × 11 = 114,048
26 × 3 × 5 × 112 = 116,160
27 × 5 × 11 × 17 = 119,680
23 × 34 × 11 × 17 = 121,176
22 × 3 × 5 × 112 × 17 = 123,420
23 × 33 × 5 × 112 = 130,680
26 × 112 × 17 = 131,648
24 × 32 × 5 × 11 × 17 = 134,640
27 × 32 × 112 = 139,392
25 × 34 × 5 × 11 = 142,560
26 × 33 × 5 × 17 = 146,880
23 × 32 × 112 × 17 = 148,104
2 × 34 × 5 × 11 × 17 = 151,470
24 × 34 × 112 = 156,816
25 × 33 × 11 × 17 = 161,568
24 × 5 × 112 × 17 = 164,560
34 × 112 × 17 = 166,617
25 × 32 × 5 × 112 = 174,240
27 × 34 × 17 = 176,256
26 × 3 × 5 × 11 × 17 = 179,520
2 × 32 × 5 × 112 × 17 = 185,130
27 × 33 × 5 × 11 = 190,080
22 × 34 × 5 × 112 = 196,020
25 × 3 × 112 × 17 = 197,472
23 × 33 × 5 × 11 × 17 = 201,960
26 × 33 × 112 = 209,088
27 × 32 × 11 × 17 = 215,424
25 × 34 × 5 × 17 = 220,320
22 × 33 × 112 × 17 = 222,156
27 × 3 × 5 × 112 = 232,320
24 × 34 × 11 × 17 = 242,352
23 × 3 × 5 × 112 × 17 = 246,840
24 × 33 × 5 × 112 = 261,360
27 × 112 × 17 = 263,296
25 × 32 × 5 × 11 × 17 = 269,280
33 × 5 × 112 × 17 = 277,695
26 × 34 × 5 × 11 = 285,120
27 × 33 × 5 × 17 = 293,760
24 × 32 × 112 × 17 = 296,208
22 × 34 × 5 × 11 × 17 = 302,940
25 × 34 × 112 = 313,632
26 × 33 × 11 × 17 = 323,136
25 × 5 × 112 × 17 = 329,120
2 × 34 × 112 × 17 = 333,234
26 × 32 × 5 × 112 = 348,480
27 × 3 × 5 × 11 × 17 = 359,040
22 × 32 × 5 × 112 × 17 = 370,260
23 × 34 × 5 × 112 = 392,040
26 × 3 × 112 × 17 = 394,944
24 × 33 × 5 × 11 × 17 = 403,920
27 × 33 × 112 = 418,176
26 × 34 × 5 × 17 = 440,640
23 × 33 × 112 × 17 = 444,312
25 × 34 × 11 × 17 = 484,704
24 × 3 × 5 × 112 × 17 = 493,680
25 × 33 × 5 × 112 = 522,720
26 × 32 × 5 × 11 × 17 = 538,560
2 × 33 × 5 × 112 × 17 = 555,390
27 × 34 × 5 × 11 = 570,240
25 × 32 × 112 × 17 = 592,416
23 × 34 × 5 × 11 × 17 = 605,880
26 × 34 × 112 = 627,264
27 × 33 × 11 × 17 = 646,272
26 × 5 × 112 × 17 = 658,240
22 × 34 × 112 × 17 = 666,468
27 × 32 × 5 × 112 = 696,960
23 × 32 × 5 × 112 × 17 = 740,520
24 × 34 × 5 × 112 = 784,080
27 × 3 × 112 × 17 = 789,888
25 × 33 × 5 × 11 × 17 = 807,840
34 × 5 × 112 × 17 = 833,085
27 × 34 × 5 × 17 = 881,280
24 × 33 × 112 × 17 = 888,624
26 × 34 × 11 × 17 = 969,408
25 × 3 × 5 × 112 × 17 = 987,360
26 × 33 × 5 × 112 = 1,045,440
27 × 32 × 5 × 11 × 17 = 1,077,120
22 × 33 × 5 × 112 × 17 = 1,110,780
26 × 32 × 112 × 17 = 1,184,832
24 × 34 × 5 × 11 × 17 = 1,211,760
27 × 34 × 112 = 1,254,528
27 × 5 × 112 × 17 = 1,316,480
23 × 34 × 112 × 17 = 1,332,936
24 × 32 × 5 × 112 × 17 = 1,481,040
25 × 34 × 5 × 112 = 1,568,160
26 × 33 × 5 × 11 × 17 = 1,615,680
2 × 34 × 5 × 112 × 17 = 1,666,170
25 × 33 × 112 × 17 = 1,777,248
27 × 34 × 11 × 17 = 1,938,816
26 × 3 × 5 × 112 × 17 = 1,974,720
27 × 33 × 5 × 112 = 2,090,880
23 × 33 × 5 × 112 × 17 = 2,221,560
27 × 32 × 112 × 17 = 2,369,664
25 × 34 × 5 × 11 × 17 = 2,423,520
24 × 34 × 112 × 17 = 2,665,872
25 × 32 × 5 × 112 × 17 = 2,962,080
26 × 34 × 5 × 112 = 3,136,320
27 × 33 × 5 × 11 × 17 = 3,231,360
22 × 34 × 5 × 112 × 17 = 3,332,340
26 × 33 × 112 × 17 = 3,554,496
27 × 3 × 5 × 112 × 17 = 3,949,440
24 × 33 × 5 × 112 × 17 = 4,443,120
26 × 34 × 5 × 11 × 17 = 4,847,040
25 × 34 × 112 × 17 = 5,331,744
26 × 32 × 5 × 112 × 17 = 5,924,160
27 × 34 × 5 × 112 = 6,272,640
23 × 34 × 5 × 112 × 17 = 6,664,680
27 × 33 × 112 × 17 = 7,108,992
25 × 33 × 5 × 112 × 17 = 8,886,240
27 × 34 × 5 × 11 × 17 = 9,694,080
26 × 34 × 112 × 17 = 10,663,488
27 × 32 × 5 × 112 × 17 = 11,848,320
24 × 34 × 5 × 112 × 17 = 13,329,360
26 × 33 × 5 × 112 × 17 = 17,772,480
27 × 34 × 112 × 17 = 21,326,976
25 × 34 × 5 × 112 × 17 = 26,658,720
27 × 33 × 5 × 112 × 17 = 35,544,960
26 × 34 × 5 × 112 × 17 = 53,317,440
27 × 34 × 5 × 112 × 17 = 106,634,880

The final answer:
(scroll down)

106,634,880 has 480 factors (divisors):
1; 2; 3; 4; 5; 6; 8; 9; 10; 11; 12; 15; 16; 17; 18; 20; 22; 24; 27; 30; 32; 33; 34; 36; 40; 44; 45; 48; 51; 54; 55; 60; 64; 66; 68; 72; 80; 81; 85; 88; 90; 96; 99; 102; 108; 110; 120; 121; 128; 132; 135; 136; 144; 153; 160; 162; 165; 170; 176; 180; 187; 192; 198; 204; 216; 220; 240; 242; 255; 264; 270; 272; 288; 297; 306; 320; 324; 330; 340; 352; 360; 363; 374; 384; 396; 405; 408; 432; 440; 459; 480; 484; 495; 510; 528; 540; 544; 561; 576; 594; 605; 612; 640; 648; 660; 680; 704; 720; 726; 748; 765; 792; 810; 816; 864; 880; 891; 918; 935; 960; 968; 990; 1,020; 1,056; 1,080; 1,088; 1,089; 1,122; 1,152; 1,188; 1,210; 1,224; 1,296; 1,320; 1,360; 1,377; 1,408; 1,440; 1,452; 1,485; 1,496; 1,530; 1,584; 1,620; 1,632; 1,683; 1,728; 1,760; 1,782; 1,815; 1,836; 1,870; 1,920; 1,936; 1,980; 2,040; 2,057; 2,112; 2,160; 2,176; 2,178; 2,244; 2,295; 2,376; 2,420; 2,448; 2,592; 2,640; 2,720; 2,754; 2,805; 2,880; 2,904; 2,970; 2,992; 3,060; 3,168; 3,240; 3,264; 3,267; 3,366; 3,456; 3,520; 3,564; 3,630; 3,672; 3,740; 3,872; 3,960; 4,080; 4,114; 4,224; 4,320; 4,356; 4,455; 4,488; 4,590; 4,752; 4,840; 4,896; 5,049; 5,184; 5,280; 5,440; 5,445; 5,508; 5,610; 5,760; 5,808; 5,940; 5,984; 6,120; 6,171; 6,336; 6,480; 6,528; 6,534; 6,732; 6,885; 7,040; 7,128; 7,260; 7,344; 7,480; 7,744; 7,920; 8,160; 8,228; 8,415; 8,640; 8,712; 8,910; 8,976; 9,180; 9,504; 9,680; 9,792; 9,801; 10,098; 10,285; 10,368; 10,560; 10,880; 10,890; 11,016; 11,220; 11,616; 11,880; 11,968; 12,240; 12,342; 12,672; 12,960; 13,068; 13,464; 13,770; 14,256; 14,520; 14,688; 14,960; 15,147; 15,488; 15,840; 16,320; 16,335; 16,456; 16,830; 17,280; 17,424; 17,820; 17,952; 18,360; 18,513; 19,008; 19,360; 19,584; 19,602; 20,196; 20,570; 21,120; 21,780; 22,032; 22,440; 23,232; 23,760; 23,936; 24,480; 24,684; 25,245; 25,920; 26,136; 26,928; 27,540; 28,512; 29,040; 29,376; 29,920; 30,294; 30,855; 31,680; 32,640; 32,670; 32,912; 33,660; 34,848; 35,640; 35,904; 36,720; 37,026; 38,016; 38,720; 39,204; 40,392; 41,140; 43,560; 44,064; 44,880; 46,464; 47,520; 48,960; 49,005; 49,368; 50,490; 51,840; 52,272; 53,856; 55,080; 55,539; 57,024; 58,080; 58,752; 59,840; 60,588; 61,710; 63,360; 65,340; 65,824; 67,320; 69,696; 71,280; 71,808; 73,440; 74,052; 75,735; 77,440; 78,408; 80,784; 82,280; 87,120; 88,128; 89,760; 92,565; 95,040; 97,920; 98,010; 98,736; 100,980; 104,544; 107,712; 110,160; 111,078; 114,048; 116,160; 119,680; 121,176; 123,420; 130,680; 131,648; 134,640; 139,392; 142,560; 146,880; 148,104; 151,470; 156,816; 161,568; 164,560; 166,617; 174,240; 176,256; 179,520; 185,130; 190,080; 196,020; 197,472; 201,960; 209,088; 215,424; 220,320; 222,156; 232,320; 242,352; 246,840; 261,360; 263,296; 269,280; 277,695; 285,120; 293,760; 296,208; 302,940; 313,632; 323,136; 329,120; 333,234; 348,480; 359,040; 370,260; 392,040; 394,944; 403,920; 418,176; 440,640; 444,312; 484,704; 493,680; 522,720; 538,560; 555,390; 570,240; 592,416; 605,880; 627,264; 646,272; 658,240; 666,468; 696,960; 740,520; 784,080; 789,888; 807,840; 833,085; 881,280; 888,624; 969,408; 987,360; 1,045,440; 1,077,120; 1,110,780; 1,184,832; 1,211,760; 1,254,528; 1,316,480; 1,332,936; 1,481,040; 1,568,160; 1,615,680; 1,666,170; 1,777,248; 1,938,816; 1,974,720; 2,090,880; 2,221,560; 2,369,664; 2,423,520; 2,665,872; 2,962,080; 3,136,320; 3,231,360; 3,332,340; 3,554,496; 3,949,440; 4,443,120; 4,847,040; 5,331,744; 5,924,160; 6,272,640; 6,664,680; 7,108,992; 8,886,240; 9,694,080; 10,663,488; 11,848,320; 13,329,360; 17,772,480; 21,326,976; 26,658,720; 35,544,960; 53,317,440 and 106,634,880
out of which 5 prime factors: 2; 3; 5; 11 and 17
106,634,880 and 1 are sometimes called improper factors, the others are called proper factors (proper divisors).

A quick way to find the factors (the divisors) of a number is to break it down into prime factors.

Then multiply the prime factors and their exponents, if any, in all their different combinations.


Other similar operations of calculating factors (divisors):

» What are all the proper, improper and prime factors (divisors) of the number 106,634,877?

» What are all the proper, improper and prime factors (divisors) of the number 106,634,895?


Calculate all the divisors (factors) of the given numbers

How to calculate (find) all the factors (divisors) of a number:

Break down the number into prime factors. Then multiply its prime factors in all their unique combinations, that give different results.

To calculate the common factors of two numbers:

The common factors (divisors) of two numbers are all the factors of the greatest common factor, gcf.

Calculate the greatest (highest) common factor (divisor) of the two numbers, gcf (hcf, gcd).

Break down the GCF into prime factors. Then multiply its prime factors in all their unique combinations, that give different results.

The latest 10 sets of calculated factors (divisors): of one number or the common factors of two numbers

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The list of all the calculated factors (divisors) of one or two numbers

Factors (divisors), common factors (common divisors), the greatest common factor, GCF (also called the greatest common divisor, GCD, or the highest common factor, HCF)

  • If the number "t" is a factor (divisor) of the number "a" then in the prime factorization of "t" we will only encounter prime factors that also occur in the prime factorization of "a".
  • If there are exponents involved, the maximum value of an exponent for any base of a power that is found in the prime factorization of "t" (powers, or multiplicities) is at most equal to the exponent of the same base that is involved in the prime factorization of "a".
  • Hint: 23 = 2 × 2 × 2 = 8. 2 is called the base and 3 is the exponent. 23 is the power and 8 is the value of the power. We sometimes say that the number 2 is raised to the power of 3.
  • For example, 12 is a factor (divisor) of 120 - the remainder is zero when dividing 120 by 12.
  • Let's look at the prime factorization of both numbers and notice the bases and the exponents that occur in the prime factorization of both numbers:
  • 12 = 2 × 2 × 3 = 22 × 3
  • 120 = 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5
  • 120 contains all the prime factors of 12, and all its bases' exponents are higher than those of 12.
  • If "t" is a common factor (divisor) of "a" and "b", then the prime factorization of "t" contains only the common prime factors involved in the prime factorizations of both "a" and "b".
  • If there are exponents involved, the maximum value of an exponent for any base of a power that is found in the prime factorization of "t" is at most equal to the minimum of the exponents of the same base that is involved in the prime factorization of both "a" and "b".
  • For example, 12 is the common factor of 48 and 360.
  • The remainder is zero when dividing either 48 or 360 by 12.
  • Here there are the prime factorizations of the three numbers, 12, 48 and 360:
  • 12 = 22 × 3
  • 48 = 24 × 3
  • 360 = 23 × 32 × 5
  • Please note that 48 and 360 have more factors (divisors): 2, 3, 4, 6, 8, 12, 24. Among them, 24 is the greatest common factor, GCF (or the greatest common divisor, GCD, or the highest common factor, HCF) of 48 and 360.
  • The greatest common factor, GCF, of two numbers, "a" and "b", is the product of all the common prime factors involved in the prime factorizations of both "a" and "b", taken by the lowest exponents.
  • Based on this rule it is calculated the greatest common factor, GCF, (or the greatest common divisor GCD, HCF) of several numbers, as shown in the example below...
  • GCF, GCD (1,260; 3,024; 5,544) = ?
  • 1,260 = 22 × 32
  • 3,024 = 24 × 32 × 7
  • 5,544 = 23 × 32 × 7 × 11
  • The common prime factors are:
  • 2 - its lowest exponent (multiplicity) is: min.(2; 3; 4) = 2
  • 3 - its lowest exponent (multiplicity) is: min.(2; 2; 2) = 2
  • GCF, GCD (1,260; 3,024; 5,544) = 22 × 32 = 252
  • Coprime numbers:
  • If two numbers "a" and "b" have no other common factors (divisors) than 1, gfc, gcd, hcf (a; b) = 1, then the numbers "a" and "b" are called coprime (or relatively prime).
  • Factors of the GCF
  • If "a" and "b" are not coprime, then every common factor (divisor) of "a" and "b" is a also a factor (divisor) of the greatest common factor, GCF (greatest common divisor, GCD, highest common factor, HCF) of "a" and "b".