Given the Number 73,347,120, Calculate (Find) All the Factors (All the Divisors) of the Number 73,347,120 (the Proper, the Improper and the Prime Factors)

All the factors (divisors) of the number 73,347,120

1. Carry out the prime factorization of the number 73,347,120:

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

73,347,120 = 24 × 35 × 5 × 73 × 11
73,347,120 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 73,347,120

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
prime factor = 7
23 = 8
32 = 9
2 × 5 = 10
prime factor = 11
22 × 3 = 12
2 × 7 = 14
3 × 5 = 15
24 = 16
2 × 32 = 18
22 × 5 = 20
3 × 7 = 21
2 × 11 = 22
23 × 3 = 24
33 = 27
22 × 7 = 28
2 × 3 × 5 = 30
3 × 11 = 33
5 × 7 = 35
22 × 32 = 36
23 × 5 = 40
2 × 3 × 7 = 42
22 × 11 = 44
32 × 5 = 45
24 × 3 = 48
72 = 49
2 × 33 = 54
5 × 11 = 55
23 × 7 = 56
22 × 3 × 5 = 60
32 × 7 = 63
2 × 3 × 11 = 66
2 × 5 × 7 = 70
23 × 32 = 72
7 × 11 = 77
24 × 5 = 80
34 = 81
22 × 3 × 7 = 84
23 × 11 = 88
2 × 32 × 5 = 90
2 × 72 = 98
32 × 11 = 99
3 × 5 × 7 = 105
22 × 33 = 108
2 × 5 × 11 = 110
24 × 7 = 112
23 × 3 × 5 = 120
2 × 32 × 7 = 126
22 × 3 × 11 = 132
33 × 5 = 135
22 × 5 × 7 = 140
24 × 32 = 144
3 × 72 = 147
2 × 7 × 11 = 154
2 × 34 = 162
3 × 5 × 11 = 165
23 × 3 × 7 = 168
24 × 11 = 176
22 × 32 × 5 = 180
33 × 7 = 189
22 × 72 = 196
2 × 32 × 11 = 198
2 × 3 × 5 × 7 = 210
23 × 33 = 216
22 × 5 × 11 = 220
3 × 7 × 11 = 231
24 × 3 × 5 = 240
35 = 243
5 × 72 = 245
22 × 32 × 7 = 252
23 × 3 × 11 = 264
2 × 33 × 5 = 270
23 × 5 × 7 = 280
2 × 3 × 72 = 294
33 × 11 = 297
22 × 7 × 11 = 308
32 × 5 × 7 = 315
22 × 34 = 324
2 × 3 × 5 × 11 = 330
24 × 3 × 7 = 336
73 = 343
23 × 32 × 5 = 360
2 × 33 × 7 = 378
5 × 7 × 11 = 385
23 × 72 = 392
22 × 32 × 11 = 396
34 × 5 = 405
22 × 3 × 5 × 7 = 420
24 × 33 = 432
23 × 5 × 11 = 440
32 × 72 = 441
2 × 3 × 7 × 11 = 462
2 × 35 = 486
2 × 5 × 72 = 490
32 × 5 × 11 = 495
23 × 32 × 7 = 504
24 × 3 × 11 = 528
72 × 11 = 539
22 × 33 × 5 = 540
24 × 5 × 7 = 560
34 × 7 = 567
22 × 3 × 72 = 588
2 × 33 × 11 = 594
23 × 7 × 11 = 616
2 × 32 × 5 × 7 = 630
23 × 34 = 648
22 × 3 × 5 × 11 = 660
2 × 73 = 686
32 × 7 × 11 = 693
24 × 32 × 5 = 720
3 × 5 × 72 = 735
22 × 33 × 7 = 756
2 × 5 × 7 × 11 = 770
24 × 72 = 784
23 × 32 × 11 = 792
2 × 34 × 5 = 810
23 × 3 × 5 × 7 = 840
24 × 5 × 11 = 880
2 × 32 × 72 = 882
34 × 11 = 891
22 × 3 × 7 × 11 = 924
33 × 5 × 7 = 945
22 × 35 = 972
22 × 5 × 72 = 980
2 × 32 × 5 × 11 = 990
24 × 32 × 7 = 1,008
3 × 73 = 1,029
2 × 72 × 11 = 1,078
23 × 33 × 5 = 1,080
2 × 34 × 7 = 1,134
3 × 5 × 7 × 11 = 1,155
23 × 3 × 72 = 1,176
22 × 33 × 11 = 1,188
35 × 5 = 1,215
24 × 7 × 11 = 1,232
22 × 32 × 5 × 7 = 1,260
24 × 34 = 1,296
23 × 3 × 5 × 11 = 1,320
33 × 72 = 1,323
22 × 73 = 1,372
2 × 32 × 7 × 11 = 1,386
2 × 3 × 5 × 72 = 1,470
33 × 5 × 11 = 1,485
23 × 33 × 7 = 1,512
22 × 5 × 7 × 11 = 1,540
24 × 32 × 11 = 1,584
3 × 72 × 11 = 1,617
22 × 34 × 5 = 1,620
24 × 3 × 5 × 7 = 1,680
35 × 7 = 1,701
5 × 73 = 1,715
22 × 32 × 72 = 1,764
2 × 34 × 11 = 1,782
23 × 3 × 7 × 11 = 1,848
2 × 33 × 5 × 7 = 1,890
23 × 35 = 1,944
23 × 5 × 72 = 1,960
22 × 32 × 5 × 11 = 1,980
2 × 3 × 73 = 2,058
33 × 7 × 11 = 2,079
22 × 72 × 11 = 2,156
24 × 33 × 5 = 2,160
32 × 5 × 72 = 2,205
22 × 34 × 7 = 2,268
2 × 3 × 5 × 7 × 11 = 2,310
24 × 3 × 72 = 2,352
23 × 33 × 11 = 2,376
2 × 35 × 5 = 2,430
23 × 32 × 5 × 7 = 2,520
24 × 3 × 5 × 11 = 2,640
2 × 33 × 72 = 2,646
35 × 11 = 2,673
5 × 72 × 11 = 2,695
23 × 73 = 2,744
22 × 32 × 7 × 11 = 2,772
34 × 5 × 7 = 2,835
22 × 3 × 5 × 72 = 2,940
2 × 33 × 5 × 11 = 2,970
24 × 33 × 7 = 3,024
23 × 5 × 7 × 11 = 3,080
32 × 73 = 3,087
2 × 3 × 72 × 11 = 3,234
23 × 34 × 5 = 3,240
2 × 35 × 7 = 3,402
2 × 5 × 73 = 3,430
32 × 5 × 7 × 11 = 3,465
23 × 32 × 72 = 3,528
22 × 34 × 11 = 3,564
24 × 3 × 7 × 11 = 3,696
73 × 11 = 3,773
22 × 33 × 5 × 7 = 3,780
24 × 35 = 3,888
24 × 5 × 72 = 3,920
23 × 32 × 5 × 11 = 3,960
34 × 72 = 3,969
22 × 3 × 73 = 4,116
2 × 33 × 7 × 11 = 4,158
23 × 72 × 11 = 4,312
2 × 32 × 5 × 72 = 4,410
34 × 5 × 11 = 4,455
23 × 34 × 7 = 4,536
22 × 3 × 5 × 7 × 11 = 4,620
24 × 33 × 11 = 4,752
32 × 72 × 11 = 4,851
22 × 35 × 5 = 4,860
24 × 32 × 5 × 7 = 5,040
3 × 5 × 73 = 5,145
22 × 33 × 72 = 5,292
2 × 35 × 11 = 5,346
2 × 5 × 72 × 11 = 5,390
24 × 73 = 5,488
23 × 32 × 7 × 11 = 5,544
2 × 34 × 5 × 7 = 5,670
23 × 3 × 5 × 72 = 5,880
22 × 33 × 5 × 11 = 5,940
24 × 5 × 7 × 11 = 6,160
2 × 32 × 73 = 6,174
34 × 7 × 11 = 6,237
22 × 3 × 72 × 11 = 6,468
24 × 34 × 5 = 6,480
33 × 5 × 72 = 6,615
22 × 35 × 7 = 6,804
22 × 5 × 73 = 6,860
2 × 32 × 5 × 7 × 11 = 6,930
24 × 32 × 72 = 7,056
23 × 34 × 11 = 7,128
2 × 73 × 11 = 7,546
23 × 33 × 5 × 7 = 7,560
24 × 32 × 5 × 11 = 7,920
2 × 34 × 72 = 7,938
3 × 5 × 72 × 11 = 8,085
23 × 3 × 73 = 8,232
22 × 33 × 7 × 11 = 8,316
35 × 5 × 7 = 8,505
This list continues below...

... This list continues from above
24 × 72 × 11 = 8,624
22 × 32 × 5 × 72 = 8,820
2 × 34 × 5 × 11 = 8,910
24 × 34 × 7 = 9,072
23 × 3 × 5 × 7 × 11 = 9,240
33 × 73 = 9,261
2 × 32 × 72 × 11 = 9,702
23 × 35 × 5 = 9,720
2 × 3 × 5 × 73 = 10,290
33 × 5 × 7 × 11 = 10,395
23 × 33 × 72 = 10,584
22 × 35 × 11 = 10,692
22 × 5 × 72 × 11 = 10,780
24 × 32 × 7 × 11 = 11,088
3 × 73 × 11 = 11,319
22 × 34 × 5 × 7 = 11,340
24 × 3 × 5 × 72 = 11,760
23 × 33 × 5 × 11 = 11,880
35 × 72 = 11,907
22 × 32 × 73 = 12,348
2 × 34 × 7 × 11 = 12,474
23 × 3 × 72 × 11 = 12,936
2 × 33 × 5 × 72 = 13,230
35 × 5 × 11 = 13,365
23 × 35 × 7 = 13,608
23 × 5 × 73 = 13,720
22 × 32 × 5 × 7 × 11 = 13,860
24 × 34 × 11 = 14,256
33 × 72 × 11 = 14,553
22 × 73 × 11 = 15,092
24 × 33 × 5 × 7 = 15,120
32 × 5 × 73 = 15,435
22 × 34 × 72 = 15,876
2 × 3 × 5 × 72 × 11 = 16,170
24 × 3 × 73 = 16,464
23 × 33 × 7 × 11 = 16,632
2 × 35 × 5 × 7 = 17,010
23 × 32 × 5 × 72 = 17,640
22 × 34 × 5 × 11 = 17,820
24 × 3 × 5 × 7 × 11 = 18,480
2 × 33 × 73 = 18,522
35 × 7 × 11 = 18,711
5 × 73 × 11 = 18,865
22 × 32 × 72 × 11 = 19,404
24 × 35 × 5 = 19,440
34 × 5 × 72 = 19,845
22 × 3 × 5 × 73 = 20,580
2 × 33 × 5 × 7 × 11 = 20,790
24 × 33 × 72 = 21,168
23 × 35 × 11 = 21,384
23 × 5 × 72 × 11 = 21,560
2 × 3 × 73 × 11 = 22,638
23 × 34 × 5 × 7 = 22,680
24 × 33 × 5 × 11 = 23,760
2 × 35 × 72 = 23,814
32 × 5 × 72 × 11 = 24,255
23 × 32 × 73 = 24,696
22 × 34 × 7 × 11 = 24,948
24 × 3 × 72 × 11 = 25,872
22 × 33 × 5 × 72 = 26,460
2 × 35 × 5 × 11 = 26,730
24 × 35 × 7 = 27,216
24 × 5 × 73 = 27,440
23 × 32 × 5 × 7 × 11 = 27,720
34 × 73 = 27,783
2 × 33 × 72 × 11 = 29,106
23 × 73 × 11 = 30,184
2 × 32 × 5 × 73 = 30,870
34 × 5 × 7 × 11 = 31,185
23 × 34 × 72 = 31,752
22 × 3 × 5 × 72 × 11 = 32,340
24 × 33 × 7 × 11 = 33,264
32 × 73 × 11 = 33,957
22 × 35 × 5 × 7 = 34,020
24 × 32 × 5 × 72 = 35,280
23 × 34 × 5 × 11 = 35,640
22 × 33 × 73 = 37,044
2 × 35 × 7 × 11 = 37,422
2 × 5 × 73 × 11 = 37,730
23 × 32 × 72 × 11 = 38,808
2 × 34 × 5 × 72 = 39,690
23 × 3 × 5 × 73 = 41,160
22 × 33 × 5 × 7 × 11 = 41,580
24 × 35 × 11 = 42,768
24 × 5 × 72 × 11 = 43,120
34 × 72 × 11 = 43,659
22 × 3 × 73 × 11 = 45,276
24 × 34 × 5 × 7 = 45,360
33 × 5 × 73 = 46,305
22 × 35 × 72 = 47,628
2 × 32 × 5 × 72 × 11 = 48,510
24 × 32 × 73 = 49,392
23 × 34 × 7 × 11 = 49,896
23 × 33 × 5 × 72 = 52,920
22 × 35 × 5 × 11 = 53,460
24 × 32 × 5 × 7 × 11 = 55,440
2 × 34 × 73 = 55,566
3 × 5 × 73 × 11 = 56,595
22 × 33 × 72 × 11 = 58,212
35 × 5 × 72 = 59,535
24 × 73 × 11 = 60,368
22 × 32 × 5 × 73 = 61,740
2 × 34 × 5 × 7 × 11 = 62,370
24 × 34 × 72 = 63,504
23 × 3 × 5 × 72 × 11 = 64,680
2 × 32 × 73 × 11 = 67,914
23 × 35 × 5 × 7 = 68,040
24 × 34 × 5 × 11 = 71,280
33 × 5 × 72 × 11 = 72,765
23 × 33 × 73 = 74,088
22 × 35 × 7 × 11 = 74,844
22 × 5 × 73 × 11 = 75,460
24 × 32 × 72 × 11 = 77,616
22 × 34 × 5 × 72 = 79,380
24 × 3 × 5 × 73 = 82,320
23 × 33 × 5 × 7 × 11 = 83,160
35 × 73 = 83,349
2 × 34 × 72 × 11 = 87,318
23 × 3 × 73 × 11 = 90,552
2 × 33 × 5 × 73 = 92,610
35 × 5 × 7 × 11 = 93,555
23 × 35 × 72 = 95,256
22 × 32 × 5 × 72 × 11 = 97,020
24 × 34 × 7 × 11 = 99,792
33 × 73 × 11 = 101,871
24 × 33 × 5 × 72 = 105,840
23 × 35 × 5 × 11 = 106,920
22 × 34 × 73 = 111,132
2 × 3 × 5 × 73 × 11 = 113,190
23 × 33 × 72 × 11 = 116,424
2 × 35 × 5 × 72 = 119,070
23 × 32 × 5 × 73 = 123,480
22 × 34 × 5 × 7 × 11 = 124,740
24 × 3 × 5 × 72 × 11 = 129,360
35 × 72 × 11 = 130,977
22 × 32 × 73 × 11 = 135,828
24 × 35 × 5 × 7 = 136,080
34 × 5 × 73 = 138,915
2 × 33 × 5 × 72 × 11 = 145,530
24 × 33 × 73 = 148,176
23 × 35 × 7 × 11 = 149,688
23 × 5 × 73 × 11 = 150,920
23 × 34 × 5 × 72 = 158,760
24 × 33 × 5 × 7 × 11 = 166,320
2 × 35 × 73 = 166,698
32 × 5 × 73 × 11 = 169,785
22 × 34 × 72 × 11 = 174,636
24 × 3 × 73 × 11 = 181,104
22 × 33 × 5 × 73 = 185,220
2 × 35 × 5 × 7 × 11 = 187,110
24 × 35 × 72 = 190,512
23 × 32 × 5 × 72 × 11 = 194,040
2 × 33 × 73 × 11 = 203,742
24 × 35 × 5 × 11 = 213,840
34 × 5 × 72 × 11 = 218,295
23 × 34 × 73 = 222,264
22 × 3 × 5 × 73 × 11 = 226,380
24 × 33 × 72 × 11 = 232,848
22 × 35 × 5 × 72 = 238,140
24 × 32 × 5 × 73 = 246,960
23 × 34 × 5 × 7 × 11 = 249,480
2 × 35 × 72 × 11 = 261,954
23 × 32 × 73 × 11 = 271,656
2 × 34 × 5 × 73 = 277,830
22 × 33 × 5 × 72 × 11 = 291,060
24 × 35 × 7 × 11 = 299,376
24 × 5 × 73 × 11 = 301,840
34 × 73 × 11 = 305,613
24 × 34 × 5 × 72 = 317,520
22 × 35 × 73 = 333,396
2 × 32 × 5 × 73 × 11 = 339,570
23 × 34 × 72 × 11 = 349,272
23 × 33 × 5 × 73 = 370,440
22 × 35 × 5 × 7 × 11 = 374,220
24 × 32 × 5 × 72 × 11 = 388,080
22 × 33 × 73 × 11 = 407,484
35 × 5 × 73 = 416,745
2 × 34 × 5 × 72 × 11 = 436,590
24 × 34 × 73 = 444,528
23 × 3 × 5 × 73 × 11 = 452,760
23 × 35 × 5 × 72 = 476,280
24 × 34 × 5 × 7 × 11 = 498,960
33 × 5 × 73 × 11 = 509,355
22 × 35 × 72 × 11 = 523,908
24 × 32 × 73 × 11 = 543,312
22 × 34 × 5 × 73 = 555,660
23 × 33 × 5 × 72 × 11 = 582,120
2 × 34 × 73 × 11 = 611,226
35 × 5 × 72 × 11 = 654,885
23 × 35 × 73 = 666,792
22 × 32 × 5 × 73 × 11 = 679,140
24 × 34 × 72 × 11 = 698,544
24 × 33 × 5 × 73 = 740,880
23 × 35 × 5 × 7 × 11 = 748,440
23 × 33 × 73 × 11 = 814,968
2 × 35 × 5 × 73 = 833,490
22 × 34 × 5 × 72 × 11 = 873,180
24 × 3 × 5 × 73 × 11 = 905,520
35 × 73 × 11 = 916,839
24 × 35 × 5 × 72 = 952,560
2 × 33 × 5 × 73 × 11 = 1,018,710
23 × 35 × 72 × 11 = 1,047,816
23 × 34 × 5 × 73 = 1,111,320
24 × 33 × 5 × 72 × 11 = 1,164,240
22 × 34 × 73 × 11 = 1,222,452
2 × 35 × 5 × 72 × 11 = 1,309,770
24 × 35 × 73 = 1,333,584
23 × 32 × 5 × 73 × 11 = 1,358,280
24 × 35 × 5 × 7 × 11 = 1,496,880
34 × 5 × 73 × 11 = 1,528,065
24 × 33 × 73 × 11 = 1,629,936
22 × 35 × 5 × 73 = 1,666,980
23 × 34 × 5 × 72 × 11 = 1,746,360
2 × 35 × 73 × 11 = 1,833,678
22 × 33 × 5 × 73 × 11 = 2,037,420
24 × 35 × 72 × 11 = 2,095,632
24 × 34 × 5 × 73 = 2,222,640
23 × 34 × 73 × 11 = 2,444,904
22 × 35 × 5 × 72 × 11 = 2,619,540
24 × 32 × 5 × 73 × 11 = 2,716,560
2 × 34 × 5 × 73 × 11 = 3,056,130
23 × 35 × 5 × 73 = 3,333,960
24 × 34 × 5 × 72 × 11 = 3,492,720
22 × 35 × 73 × 11 = 3,667,356
23 × 33 × 5 × 73 × 11 = 4,074,840
35 × 5 × 73 × 11 = 4,584,195
24 × 34 × 73 × 11 = 4,889,808
23 × 35 × 5 × 72 × 11 = 5,239,080
22 × 34 × 5 × 73 × 11 = 6,112,260
24 × 35 × 5 × 73 = 6,667,920
23 × 35 × 73 × 11 = 7,334,712
24 × 33 × 5 × 73 × 11 = 8,149,680
2 × 35 × 5 × 73 × 11 = 9,168,390
24 × 35 × 5 × 72 × 11 = 10,478,160
23 × 34 × 5 × 73 × 11 = 12,224,520
24 × 35 × 73 × 11 = 14,669,424
22 × 35 × 5 × 73 × 11 = 18,336,780
24 × 34 × 5 × 73 × 11 = 24,449,040
23 × 35 × 5 × 73 × 11 = 36,673,560
24 × 35 × 5 × 73 × 11 = 73,347,120

The final answer:
(scroll down)

73,347,120 has 480 factors (divisors):
1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 11; 12; 14; 15; 16; 18; 20; 21; 22; 24; 27; 28; 30; 33; 35; 36; 40; 42; 44; 45; 48; 49; 54; 55; 56; 60; 63; 66; 70; 72; 77; 80; 81; 84; 88; 90; 98; 99; 105; 108; 110; 112; 120; 126; 132; 135; 140; 144; 147; 154; 162; 165; 168; 176; 180; 189; 196; 198; 210; 216; 220; 231; 240; 243; 245; 252; 264; 270; 280; 294; 297; 308; 315; 324; 330; 336; 343; 360; 378; 385; 392; 396; 405; 420; 432; 440; 441; 462; 486; 490; 495; 504; 528; 539; 540; 560; 567; 588; 594; 616; 630; 648; 660; 686; 693; 720; 735; 756; 770; 784; 792; 810; 840; 880; 882; 891; 924; 945; 972; 980; 990; 1,008; 1,029; 1,078; 1,080; 1,134; 1,155; 1,176; 1,188; 1,215; 1,232; 1,260; 1,296; 1,320; 1,323; 1,372; 1,386; 1,470; 1,485; 1,512; 1,540; 1,584; 1,617; 1,620; 1,680; 1,701; 1,715; 1,764; 1,782; 1,848; 1,890; 1,944; 1,960; 1,980; 2,058; 2,079; 2,156; 2,160; 2,205; 2,268; 2,310; 2,352; 2,376; 2,430; 2,520; 2,640; 2,646; 2,673; 2,695; 2,744; 2,772; 2,835; 2,940; 2,970; 3,024; 3,080; 3,087; 3,234; 3,240; 3,402; 3,430; 3,465; 3,528; 3,564; 3,696; 3,773; 3,780; 3,888; 3,920; 3,960; 3,969; 4,116; 4,158; 4,312; 4,410; 4,455; 4,536; 4,620; 4,752; 4,851; 4,860; 5,040; 5,145; 5,292; 5,346; 5,390; 5,488; 5,544; 5,670; 5,880; 5,940; 6,160; 6,174; 6,237; 6,468; 6,480; 6,615; 6,804; 6,860; 6,930; 7,056; 7,128; 7,546; 7,560; 7,920; 7,938; 8,085; 8,232; 8,316; 8,505; 8,624; 8,820; 8,910; 9,072; 9,240; 9,261; 9,702; 9,720; 10,290; 10,395; 10,584; 10,692; 10,780; 11,088; 11,319; 11,340; 11,760; 11,880; 11,907; 12,348; 12,474; 12,936; 13,230; 13,365; 13,608; 13,720; 13,860; 14,256; 14,553; 15,092; 15,120; 15,435; 15,876; 16,170; 16,464; 16,632; 17,010; 17,640; 17,820; 18,480; 18,522; 18,711; 18,865; 19,404; 19,440; 19,845; 20,580; 20,790; 21,168; 21,384; 21,560; 22,638; 22,680; 23,760; 23,814; 24,255; 24,696; 24,948; 25,872; 26,460; 26,730; 27,216; 27,440; 27,720; 27,783; 29,106; 30,184; 30,870; 31,185; 31,752; 32,340; 33,264; 33,957; 34,020; 35,280; 35,640; 37,044; 37,422; 37,730; 38,808; 39,690; 41,160; 41,580; 42,768; 43,120; 43,659; 45,276; 45,360; 46,305; 47,628; 48,510; 49,392; 49,896; 52,920; 53,460; 55,440; 55,566; 56,595; 58,212; 59,535; 60,368; 61,740; 62,370; 63,504; 64,680; 67,914; 68,040; 71,280; 72,765; 74,088; 74,844; 75,460; 77,616; 79,380; 82,320; 83,160; 83,349; 87,318; 90,552; 92,610; 93,555; 95,256; 97,020; 99,792; 101,871; 105,840; 106,920; 111,132; 113,190; 116,424; 119,070; 123,480; 124,740; 129,360; 130,977; 135,828; 136,080; 138,915; 145,530; 148,176; 149,688; 150,920; 158,760; 166,320; 166,698; 169,785; 174,636; 181,104; 185,220; 187,110; 190,512; 194,040; 203,742; 213,840; 218,295; 222,264; 226,380; 232,848; 238,140; 246,960; 249,480; 261,954; 271,656; 277,830; 291,060; 299,376; 301,840; 305,613; 317,520; 333,396; 339,570; 349,272; 370,440; 374,220; 388,080; 407,484; 416,745; 436,590; 444,528; 452,760; 476,280; 498,960; 509,355; 523,908; 543,312; 555,660; 582,120; 611,226; 654,885; 666,792; 679,140; 698,544; 740,880; 748,440; 814,968; 833,490; 873,180; 905,520; 916,839; 952,560; 1,018,710; 1,047,816; 1,111,320; 1,164,240; 1,222,452; 1,309,770; 1,333,584; 1,358,280; 1,496,880; 1,528,065; 1,629,936; 1,666,980; 1,746,360; 1,833,678; 2,037,420; 2,095,632; 2,222,640; 2,444,904; 2,619,540; 2,716,560; 3,056,130; 3,333,960; 3,492,720; 3,667,356; 4,074,840; 4,584,195; 4,889,808; 5,239,080; 6,112,260; 6,667,920; 7,334,712; 8,149,680; 9,168,390; 10,478,160; 12,224,520; 14,669,424; 18,336,780; 24,449,040; 36,673,560 and 73,347,120
out of which 5 prime factors: 2; 3; 5; 7 and 11
73,347,120 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 73,347,116?

» What are all the proper, improper and prime factors (divisors) of the number 73,347,131?


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

What are all the proper, improper and prime factors (all the divisors) of the number 73,347,120? How to calculate them? May 13 12:53 UTC (GMT)
What are all the common factors (all the divisors and the prime factors) of the numbers 100,000,000,066 and 481? How to calculate them? May 13 12:53 UTC (GMT)
What are all the common factors (all the divisors and the prime factors) of the numbers 42 and 48? How to calculate them? May 13 12:53 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 2,761,401? How to calculate them? May 13 12:53 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 2,708,550? How to calculate them? May 13 12:53 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 15,943,031? How to calculate them? May 13 12:53 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 3,891,382? How to calculate them? May 13 12:53 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 226,663,557,119? How to calculate them? May 13 12:53 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 5,303,721? How to calculate them? May 13 12:53 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 4,497,726? How to calculate them? May 13 12:53 UTC (GMT)
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".