Given the Number 310,040,640, Calculate (Find) All the Factors (All the Divisors) of the Number 310,040,640 (the Proper, the Improper and the Prime Factors)

All the factors (divisors) of the number 310,040,640

1. Carry out the prime factorization of the number 310,040,640:

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

310,040,640 = 26 × 32 × 5 × 72 × 133
310,040,640 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 310,040,640

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
22 × 3 = 12
prime factor = 13
2 × 7 = 14
3 × 5 = 15
24 = 16
2 × 32 = 18
22 × 5 = 20
3 × 7 = 21
23 × 3 = 24
2 × 13 = 26
22 × 7 = 28
2 × 3 × 5 = 30
25 = 32
5 × 7 = 35
22 × 32 = 36
3 × 13 = 39
23 × 5 = 40
2 × 3 × 7 = 42
32 × 5 = 45
24 × 3 = 48
72 = 49
22 × 13 = 52
23 × 7 = 56
22 × 3 × 5 = 60
32 × 7 = 63
26 = 64
5 × 13 = 65
2 × 5 × 7 = 70
23 × 32 = 72
2 × 3 × 13 = 78
24 × 5 = 80
22 × 3 × 7 = 84
2 × 32 × 5 = 90
7 × 13 = 91
25 × 3 = 96
2 × 72 = 98
23 × 13 = 104
3 × 5 × 7 = 105
24 × 7 = 112
32 × 13 = 117
23 × 3 × 5 = 120
2 × 32 × 7 = 126
2 × 5 × 13 = 130
22 × 5 × 7 = 140
24 × 32 = 144
3 × 72 = 147
22 × 3 × 13 = 156
25 × 5 = 160
23 × 3 × 7 = 168
132 = 169
22 × 32 × 5 = 180
2 × 7 × 13 = 182
26 × 3 = 192
3 × 5 × 13 = 195
22 × 72 = 196
24 × 13 = 208
2 × 3 × 5 × 7 = 210
25 × 7 = 224
2 × 32 × 13 = 234
24 × 3 × 5 = 240
5 × 72 = 245
22 × 32 × 7 = 252
22 × 5 × 13 = 260
3 × 7 × 13 = 273
23 × 5 × 7 = 280
25 × 32 = 288
2 × 3 × 72 = 294
23 × 3 × 13 = 312
32 × 5 × 7 = 315
26 × 5 = 320
24 × 3 × 7 = 336
2 × 132 = 338
23 × 32 × 5 = 360
22 × 7 × 13 = 364
2 × 3 × 5 × 13 = 390
23 × 72 = 392
25 × 13 = 416
22 × 3 × 5 × 7 = 420
32 × 72 = 441
26 × 7 = 448
5 × 7 × 13 = 455
22 × 32 × 13 = 468
25 × 3 × 5 = 480
2 × 5 × 72 = 490
23 × 32 × 7 = 504
3 × 132 = 507
23 × 5 × 13 = 520
2 × 3 × 7 × 13 = 546
24 × 5 × 7 = 560
26 × 32 = 576
32 × 5 × 13 = 585
22 × 3 × 72 = 588
24 × 3 × 13 = 624
2 × 32 × 5 × 7 = 630
72 × 13 = 637
25 × 3 × 7 = 672
22 × 132 = 676
24 × 32 × 5 = 720
23 × 7 × 13 = 728
3 × 5 × 72 = 735
22 × 3 × 5 × 13 = 780
24 × 72 = 784
32 × 7 × 13 = 819
26 × 13 = 832
23 × 3 × 5 × 7 = 840
5 × 132 = 845
2 × 32 × 72 = 882
2 × 5 × 7 × 13 = 910
23 × 32 × 13 = 936
26 × 3 × 5 = 960
22 × 5 × 72 = 980
24 × 32 × 7 = 1,008
2 × 3 × 132 = 1,014
24 × 5 × 13 = 1,040
22 × 3 × 7 × 13 = 1,092
25 × 5 × 7 = 1,120
2 × 32 × 5 × 13 = 1,170
23 × 3 × 72 = 1,176
7 × 132 = 1,183
25 × 3 × 13 = 1,248
22 × 32 × 5 × 7 = 1,260
2 × 72 × 13 = 1,274
26 × 3 × 7 = 1,344
23 × 132 = 1,352
3 × 5 × 7 × 13 = 1,365
25 × 32 × 5 = 1,440
24 × 7 × 13 = 1,456
2 × 3 × 5 × 72 = 1,470
32 × 132 = 1,521
23 × 3 × 5 × 13 = 1,560
25 × 72 = 1,568
2 × 32 × 7 × 13 = 1,638
24 × 3 × 5 × 7 = 1,680
2 × 5 × 132 = 1,690
22 × 32 × 72 = 1,764
22 × 5 × 7 × 13 = 1,820
24 × 32 × 13 = 1,872
3 × 72 × 13 = 1,911
23 × 5 × 72 = 1,960
25 × 32 × 7 = 2,016
22 × 3 × 132 = 2,028
25 × 5 × 13 = 2,080
23 × 3 × 7 × 13 = 2,184
133 = 2,197
32 × 5 × 72 = 2,205
26 × 5 × 7 = 2,240
22 × 32 × 5 × 13 = 2,340
24 × 3 × 72 = 2,352
2 × 7 × 132 = 2,366
26 × 3 × 13 = 2,496
23 × 32 × 5 × 7 = 2,520
3 × 5 × 132 = 2,535
22 × 72 × 13 = 2,548
24 × 132 = 2,704
2 × 3 × 5 × 7 × 13 = 2,730
26 × 32 × 5 = 2,880
25 × 7 × 13 = 2,912
22 × 3 × 5 × 72 = 2,940
2 × 32 × 132 = 3,042
24 × 3 × 5 × 13 = 3,120
26 × 72 = 3,136
5 × 72 × 13 = 3,185
22 × 32 × 7 × 13 = 3,276
25 × 3 × 5 × 7 = 3,360
22 × 5 × 132 = 3,380
23 × 32 × 72 = 3,528
3 × 7 × 132 = 3,549
23 × 5 × 7 × 13 = 3,640
25 × 32 × 13 = 3,744
2 × 3 × 72 × 13 = 3,822
24 × 5 × 72 = 3,920
26 × 32 × 7 = 4,032
23 × 3 × 132 = 4,056
32 × 5 × 7 × 13 = 4,095
26 × 5 × 13 = 4,160
24 × 3 × 7 × 13 = 4,368
2 × 133 = 4,394
2 × 32 × 5 × 72 = 4,410
23 × 32 × 5 × 13 = 4,680
25 × 3 × 72 = 4,704
22 × 7 × 132 = 4,732
24 × 32 × 5 × 7 = 5,040
2 × 3 × 5 × 132 = 5,070
23 × 72 × 13 = 5,096
25 × 132 = 5,408
22 × 3 × 5 × 7 × 13 = 5,460
32 × 72 × 13 = 5,733
26 × 7 × 13 = 5,824
23 × 3 × 5 × 72 = 5,880
5 × 7 × 132 = 5,915
22 × 32 × 132 = 6,084
25 × 3 × 5 × 13 = 6,240
2 × 5 × 72 × 13 = 6,370
23 × 32 × 7 × 13 = 6,552
3 × 133 = 6,591
26 × 3 × 5 × 7 = 6,720
23 × 5 × 132 = 6,760
24 × 32 × 72 = 7,056
2 × 3 × 7 × 132 = 7,098
24 × 5 × 7 × 13 = 7,280
26 × 32 × 13 = 7,488
32 × 5 × 132 = 7,605
22 × 3 × 72 × 13 = 7,644
25 × 5 × 72 = 7,840
24 × 3 × 132 = 8,112
2 × 32 × 5 × 7 × 13 = 8,190
72 × 132 = 8,281
25 × 3 × 7 × 13 = 8,736
22 × 133 = 8,788
22 × 32 × 5 × 72 = 8,820
24 × 32 × 5 × 13 = 9,360
26 × 3 × 72 = 9,408
23 × 7 × 132 = 9,464
3 × 5 × 72 × 13 = 9,555
25 × 32 × 5 × 7 = 10,080
22 × 3 × 5 × 132 = 10,140
24 × 72 × 13 = 10,192
32 × 7 × 132 = 10,647
26 × 132 = 10,816
23 × 3 × 5 × 7 × 13 = 10,920
5 × 133 = 10,985
2 × 32 × 72 × 13 = 11,466
24 × 3 × 5 × 72 = 11,760
2 × 5 × 7 × 132 = 11,830
23 × 32 × 132 = 12,168
26 × 3 × 5 × 13 = 12,480
22 × 5 × 72 × 13 = 12,740
24 × 32 × 7 × 13 = 13,104
2 × 3 × 133 = 13,182
24 × 5 × 132 = 13,520
25 × 32 × 72 = 14,112
22 × 3 × 7 × 132 = 14,196
25 × 5 × 7 × 13 = 14,560
2 × 32 × 5 × 132 = 15,210
23 × 3 × 72 × 13 = 15,288
7 × 133 = 15,379
26 × 5 × 72 = 15,680
25 × 3 × 132 = 16,224
22 × 32 × 5 × 7 × 13 = 16,380
2 × 72 × 132 = 16,562
26 × 3 × 7 × 13 = 17,472
23 × 133 = 17,576
This list continues below...

... This list continues from above
23 × 32 × 5 × 72 = 17,640
3 × 5 × 7 × 132 = 17,745
25 × 32 × 5 × 13 = 18,720
24 × 7 × 132 = 18,928
2 × 3 × 5 × 72 × 13 = 19,110
32 × 133 = 19,773
26 × 32 × 5 × 7 = 20,160
23 × 3 × 5 × 132 = 20,280
25 × 72 × 13 = 20,384
2 × 32 × 7 × 132 = 21,294
24 × 3 × 5 × 7 × 13 = 21,840
2 × 5 × 133 = 21,970
22 × 32 × 72 × 13 = 22,932
25 × 3 × 5 × 72 = 23,520
22 × 5 × 7 × 132 = 23,660
24 × 32 × 132 = 24,336
3 × 72 × 132 = 24,843
23 × 5 × 72 × 13 = 25,480
25 × 32 × 7 × 13 = 26,208
22 × 3 × 133 = 26,364
25 × 5 × 132 = 27,040
26 × 32 × 72 = 28,224
23 × 3 × 7 × 132 = 28,392
32 × 5 × 72 × 13 = 28,665
26 × 5 × 7 × 13 = 29,120
22 × 32 × 5 × 132 = 30,420
24 × 3 × 72 × 13 = 30,576
2 × 7 × 133 = 30,758
26 × 3 × 132 = 32,448
23 × 32 × 5 × 7 × 13 = 32,760
3 × 5 × 133 = 32,955
22 × 72 × 132 = 33,124
24 × 133 = 35,152
24 × 32 × 5 × 72 = 35,280
2 × 3 × 5 × 7 × 132 = 35,490
26 × 32 × 5 × 13 = 37,440
25 × 7 × 132 = 37,856
22 × 3 × 5 × 72 × 13 = 38,220
2 × 32 × 133 = 39,546
24 × 3 × 5 × 132 = 40,560
26 × 72 × 13 = 40,768
5 × 72 × 132 = 41,405
22 × 32 × 7 × 132 = 42,588
25 × 3 × 5 × 7 × 13 = 43,680
22 × 5 × 133 = 43,940
23 × 32 × 72 × 13 = 45,864
3 × 7 × 133 = 46,137
26 × 3 × 5 × 72 = 47,040
23 × 5 × 7 × 132 = 47,320
25 × 32 × 132 = 48,672
2 × 3 × 72 × 132 = 49,686
24 × 5 × 72 × 13 = 50,960
26 × 32 × 7 × 13 = 52,416
23 × 3 × 133 = 52,728
32 × 5 × 7 × 132 = 53,235
26 × 5 × 132 = 54,080
24 × 3 × 7 × 132 = 56,784
2 × 32 × 5 × 72 × 13 = 57,330
23 × 32 × 5 × 132 = 60,840
25 × 3 × 72 × 13 = 61,152
22 × 7 × 133 = 61,516
24 × 32 × 5 × 7 × 13 = 65,520
2 × 3 × 5 × 133 = 65,910
23 × 72 × 132 = 66,248
25 × 133 = 70,304
25 × 32 × 5 × 72 = 70,560
22 × 3 × 5 × 7 × 132 = 70,980
32 × 72 × 132 = 74,529
26 × 7 × 132 = 75,712
23 × 3 × 5 × 72 × 13 = 76,440
5 × 7 × 133 = 76,895
22 × 32 × 133 = 79,092
25 × 3 × 5 × 132 = 81,120
2 × 5 × 72 × 132 = 82,810
23 × 32 × 7 × 132 = 85,176
26 × 3 × 5 × 7 × 13 = 87,360
23 × 5 × 133 = 87,880
24 × 32 × 72 × 13 = 91,728
2 × 3 × 7 × 133 = 92,274
24 × 5 × 7 × 132 = 94,640
26 × 32 × 132 = 97,344
32 × 5 × 133 = 98,865
22 × 3 × 72 × 132 = 99,372
25 × 5 × 72 × 13 = 101,920
24 × 3 × 133 = 105,456
2 × 32 × 5 × 7 × 132 = 106,470
72 × 133 = 107,653
25 × 3 × 7 × 132 = 113,568
22 × 32 × 5 × 72 × 13 = 114,660
24 × 32 × 5 × 132 = 121,680
26 × 3 × 72 × 13 = 122,304
23 × 7 × 133 = 123,032
3 × 5 × 72 × 132 = 124,215
25 × 32 × 5 × 7 × 13 = 131,040
22 × 3 × 5 × 133 = 131,820
24 × 72 × 132 = 132,496
32 × 7 × 133 = 138,411
26 × 133 = 140,608
26 × 32 × 5 × 72 = 141,120
23 × 3 × 5 × 7 × 132 = 141,960
2 × 32 × 72 × 132 = 149,058
24 × 3 × 5 × 72 × 13 = 152,880
2 × 5 × 7 × 133 = 153,790
23 × 32 × 133 = 158,184
26 × 3 × 5 × 132 = 162,240
22 × 5 × 72 × 132 = 165,620
24 × 32 × 7 × 132 = 170,352
24 × 5 × 133 = 175,760
25 × 32 × 72 × 13 = 183,456
22 × 3 × 7 × 133 = 184,548
25 × 5 × 7 × 132 = 189,280
2 × 32 × 5 × 133 = 197,730
23 × 3 × 72 × 132 = 198,744
26 × 5 × 72 × 13 = 203,840
25 × 3 × 133 = 210,912
22 × 32 × 5 × 7 × 132 = 212,940
2 × 72 × 133 = 215,306
26 × 3 × 7 × 132 = 227,136
23 × 32 × 5 × 72 × 13 = 229,320
3 × 5 × 7 × 133 = 230,685
25 × 32 × 5 × 132 = 243,360
24 × 7 × 133 = 246,064
2 × 3 × 5 × 72 × 132 = 248,430
26 × 32 × 5 × 7 × 13 = 262,080
23 × 3 × 5 × 133 = 263,640
25 × 72 × 132 = 264,992
2 × 32 × 7 × 133 = 276,822
24 × 3 × 5 × 7 × 132 = 283,920
22 × 32 × 72 × 132 = 298,116
25 × 3 × 5 × 72 × 13 = 305,760
22 × 5 × 7 × 133 = 307,580
24 × 32 × 133 = 316,368
3 × 72 × 133 = 322,959
23 × 5 × 72 × 132 = 331,240
25 × 32 × 7 × 132 = 340,704
25 × 5 × 133 = 351,520
26 × 32 × 72 × 13 = 366,912
23 × 3 × 7 × 133 = 369,096
32 × 5 × 72 × 132 = 372,645
26 × 5 × 7 × 132 = 378,560
22 × 32 × 5 × 133 = 395,460
24 × 3 × 72 × 132 = 397,488
26 × 3 × 133 = 421,824
23 × 32 × 5 × 7 × 132 = 425,880
22 × 72 × 133 = 430,612
24 × 32 × 5 × 72 × 13 = 458,640
2 × 3 × 5 × 7 × 133 = 461,370
26 × 32 × 5 × 132 = 486,720
25 × 7 × 133 = 492,128
22 × 3 × 5 × 72 × 132 = 496,860
24 × 3 × 5 × 133 = 527,280
26 × 72 × 132 = 529,984
5 × 72 × 133 = 538,265
22 × 32 × 7 × 133 = 553,644
25 × 3 × 5 × 7 × 132 = 567,840
23 × 32 × 72 × 132 = 596,232
26 × 3 × 5 × 72 × 13 = 611,520
23 × 5 × 7 × 133 = 615,160
25 × 32 × 133 = 632,736
2 × 3 × 72 × 133 = 645,918
24 × 5 × 72 × 132 = 662,480
26 × 32 × 7 × 132 = 681,408
32 × 5 × 7 × 133 = 692,055
26 × 5 × 133 = 703,040
24 × 3 × 7 × 133 = 738,192
2 × 32 × 5 × 72 × 132 = 745,290
23 × 32 × 5 × 133 = 790,920
25 × 3 × 72 × 132 = 794,976
24 × 32 × 5 × 7 × 132 = 851,760
23 × 72 × 133 = 861,224
25 × 32 × 5 × 72 × 13 = 917,280
22 × 3 × 5 × 7 × 133 = 922,740
32 × 72 × 133 = 968,877
26 × 7 × 133 = 984,256
23 × 3 × 5 × 72 × 132 = 993,720
25 × 3 × 5 × 133 = 1,054,560
2 × 5 × 72 × 133 = 1,076,530
23 × 32 × 7 × 133 = 1,107,288
26 × 3 × 5 × 7 × 132 = 1,135,680
24 × 32 × 72 × 132 = 1,192,464
24 × 5 × 7 × 133 = 1,230,320
26 × 32 × 133 = 1,265,472
22 × 3 × 72 × 133 = 1,291,836
25 × 5 × 72 × 132 = 1,324,960
2 × 32 × 5 × 7 × 133 = 1,384,110
25 × 3 × 7 × 133 = 1,476,384
22 × 32 × 5 × 72 × 132 = 1,490,580
24 × 32 × 5 × 133 = 1,581,840
26 × 3 × 72 × 132 = 1,589,952
3 × 5 × 72 × 133 = 1,614,795
25 × 32 × 5 × 7 × 132 = 1,703,520
24 × 72 × 133 = 1,722,448
26 × 32 × 5 × 72 × 13 = 1,834,560
23 × 3 × 5 × 7 × 133 = 1,845,480
2 × 32 × 72 × 133 = 1,937,754
24 × 3 × 5 × 72 × 132 = 1,987,440
26 × 3 × 5 × 133 = 2,109,120
22 × 5 × 72 × 133 = 2,153,060
24 × 32 × 7 × 133 = 2,214,576
25 × 32 × 72 × 132 = 2,384,928
25 × 5 × 7 × 133 = 2,460,640
23 × 3 × 72 × 133 = 2,583,672
26 × 5 × 72 × 132 = 2,649,920
22 × 32 × 5 × 7 × 133 = 2,768,220
26 × 3 × 7 × 133 = 2,952,768
23 × 32 × 5 × 72 × 132 = 2,981,160
25 × 32 × 5 × 133 = 3,163,680
2 × 3 × 5 × 72 × 133 = 3,229,590
26 × 32 × 5 × 7 × 132 = 3,407,040
25 × 72 × 133 = 3,444,896
24 × 3 × 5 × 7 × 133 = 3,690,960
22 × 32 × 72 × 133 = 3,875,508
25 × 3 × 5 × 72 × 132 = 3,974,880
23 × 5 × 72 × 133 = 4,306,120
25 × 32 × 7 × 133 = 4,429,152
26 × 32 × 72 × 132 = 4,769,856
32 × 5 × 72 × 133 = 4,844,385
26 × 5 × 7 × 133 = 4,921,280
24 × 3 × 72 × 133 = 5,167,344
23 × 32 × 5 × 7 × 133 = 5,536,440
24 × 32 × 5 × 72 × 132 = 5,962,320
26 × 32 × 5 × 133 = 6,327,360
22 × 3 × 5 × 72 × 133 = 6,459,180
26 × 72 × 133 = 6,889,792
25 × 3 × 5 × 7 × 133 = 7,381,920
23 × 32 × 72 × 133 = 7,751,016
26 × 3 × 5 × 72 × 132 = 7,949,760
24 × 5 × 72 × 133 = 8,612,240
26 × 32 × 7 × 133 = 8,858,304
2 × 32 × 5 × 72 × 133 = 9,688,770
25 × 3 × 72 × 133 = 10,334,688
24 × 32 × 5 × 7 × 133 = 11,072,880
25 × 32 × 5 × 72 × 132 = 11,924,640
23 × 3 × 5 × 72 × 133 = 12,918,360
26 × 3 × 5 × 7 × 133 = 14,763,840
24 × 32 × 72 × 133 = 15,502,032
25 × 5 × 72 × 133 = 17,224,480
22 × 32 × 5 × 72 × 133 = 19,377,540
26 × 3 × 72 × 133 = 20,669,376
25 × 32 × 5 × 7 × 133 = 22,145,760
26 × 32 × 5 × 72 × 132 = 23,849,280
24 × 3 × 5 × 72 × 133 = 25,836,720
25 × 32 × 72 × 133 = 31,004,064
26 × 5 × 72 × 133 = 34,448,960
23 × 32 × 5 × 72 × 133 = 38,755,080
26 × 32 × 5 × 7 × 133 = 44,291,520
25 × 3 × 5 × 72 × 133 = 51,673,440
26 × 32 × 72 × 133 = 62,008,128
24 × 32 × 5 × 72 × 133 = 77,510,160
26 × 3 × 5 × 72 × 133 = 103,346,880
25 × 32 × 5 × 72 × 133 = 155,020,320
26 × 32 × 5 × 72 × 133 = 310,040,640

The final answer:
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310,040,640 has 504 factors (divisors):
1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 12; 13; 14; 15; 16; 18; 20; 21; 24; 26; 28; 30; 32; 35; 36; 39; 40; 42; 45; 48; 49; 52; 56; 60; 63; 64; 65; 70; 72; 78; 80; 84; 90; 91; 96; 98; 104; 105; 112; 117; 120; 126; 130; 140; 144; 147; 156; 160; 168; 169; 180; 182; 192; 195; 196; 208; 210; 224; 234; 240; 245; 252; 260; 273; 280; 288; 294; 312; 315; 320; 336; 338; 360; 364; 390; 392; 416; 420; 441; 448; 455; 468; 480; 490; 504; 507; 520; 546; 560; 576; 585; 588; 624; 630; 637; 672; 676; 720; 728; 735; 780; 784; 819; 832; 840; 845; 882; 910; 936; 960; 980; 1,008; 1,014; 1,040; 1,092; 1,120; 1,170; 1,176; 1,183; 1,248; 1,260; 1,274; 1,344; 1,352; 1,365; 1,440; 1,456; 1,470; 1,521; 1,560; 1,568; 1,638; 1,680; 1,690; 1,764; 1,820; 1,872; 1,911; 1,960; 2,016; 2,028; 2,080; 2,184; 2,197; 2,205; 2,240; 2,340; 2,352; 2,366; 2,496; 2,520; 2,535; 2,548; 2,704; 2,730; 2,880; 2,912; 2,940; 3,042; 3,120; 3,136; 3,185; 3,276; 3,360; 3,380; 3,528; 3,549; 3,640; 3,744; 3,822; 3,920; 4,032; 4,056; 4,095; 4,160; 4,368; 4,394; 4,410; 4,680; 4,704; 4,732; 5,040; 5,070; 5,096; 5,408; 5,460; 5,733; 5,824; 5,880; 5,915; 6,084; 6,240; 6,370; 6,552; 6,591; 6,720; 6,760; 7,056; 7,098; 7,280; 7,488; 7,605; 7,644; 7,840; 8,112; 8,190; 8,281; 8,736; 8,788; 8,820; 9,360; 9,408; 9,464; 9,555; 10,080; 10,140; 10,192; 10,647; 10,816; 10,920; 10,985; 11,466; 11,760; 11,830; 12,168; 12,480; 12,740; 13,104; 13,182; 13,520; 14,112; 14,196; 14,560; 15,210; 15,288; 15,379; 15,680; 16,224; 16,380; 16,562; 17,472; 17,576; 17,640; 17,745; 18,720; 18,928; 19,110; 19,773; 20,160; 20,280; 20,384; 21,294; 21,840; 21,970; 22,932; 23,520; 23,660; 24,336; 24,843; 25,480; 26,208; 26,364; 27,040; 28,224; 28,392; 28,665; 29,120; 30,420; 30,576; 30,758; 32,448; 32,760; 32,955; 33,124; 35,152; 35,280; 35,490; 37,440; 37,856; 38,220; 39,546; 40,560; 40,768; 41,405; 42,588; 43,680; 43,940; 45,864; 46,137; 47,040; 47,320; 48,672; 49,686; 50,960; 52,416; 52,728; 53,235; 54,080; 56,784; 57,330; 60,840; 61,152; 61,516; 65,520; 65,910; 66,248; 70,304; 70,560; 70,980; 74,529; 75,712; 76,440; 76,895; 79,092; 81,120; 82,810; 85,176; 87,360; 87,880; 91,728; 92,274; 94,640; 97,344; 98,865; 99,372; 101,920; 105,456; 106,470; 107,653; 113,568; 114,660; 121,680; 122,304; 123,032; 124,215; 131,040; 131,820; 132,496; 138,411; 140,608; 141,120; 141,960; 149,058; 152,880; 153,790; 158,184; 162,240; 165,620; 170,352; 175,760; 183,456; 184,548; 189,280; 197,730; 198,744; 203,840; 210,912; 212,940; 215,306; 227,136; 229,320; 230,685; 243,360; 246,064; 248,430; 262,080; 263,640; 264,992; 276,822; 283,920; 298,116; 305,760; 307,580; 316,368; 322,959; 331,240; 340,704; 351,520; 366,912; 369,096; 372,645; 378,560; 395,460; 397,488; 421,824; 425,880; 430,612; 458,640; 461,370; 486,720; 492,128; 496,860; 527,280; 529,984; 538,265; 553,644; 567,840; 596,232; 611,520; 615,160; 632,736; 645,918; 662,480; 681,408; 692,055; 703,040; 738,192; 745,290; 790,920; 794,976; 851,760; 861,224; 917,280; 922,740; 968,877; 984,256; 993,720; 1,054,560; 1,076,530; 1,107,288; 1,135,680; 1,192,464; 1,230,320; 1,265,472; 1,291,836; 1,324,960; 1,384,110; 1,476,384; 1,490,580; 1,581,840; 1,589,952; 1,614,795; 1,703,520; 1,722,448; 1,834,560; 1,845,480; 1,937,754; 1,987,440; 2,109,120; 2,153,060; 2,214,576; 2,384,928; 2,460,640; 2,583,672; 2,649,920; 2,768,220; 2,952,768; 2,981,160; 3,163,680; 3,229,590; 3,407,040; 3,444,896; 3,690,960; 3,875,508; 3,974,880; 4,306,120; 4,429,152; 4,769,856; 4,844,385; 4,921,280; 5,167,344; 5,536,440; 5,962,320; 6,327,360; 6,459,180; 6,889,792; 7,381,920; 7,751,016; 7,949,760; 8,612,240; 8,858,304; 9,688,770; 10,334,688; 11,072,880; 11,924,640; 12,918,360; 14,763,840; 15,502,032; 17,224,480; 19,377,540; 20,669,376; 22,145,760; 23,849,280; 25,836,720; 31,004,064; 34,448,960; 38,755,080; 44,291,520; 51,673,440; 62,008,128; 77,510,160; 103,346,880; 155,020,320 and 310,040,640
out of which 5 prime factors: 2; 3; 5; 7 and 13
310,040,640 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 310,040,629?

» What are all the proper, improper and prime factors (divisors) of the number 310,040,645?


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".