Given the Number 7,665,840, Calculate (Find) All the Factors (All the Divisors) of the Number 7,665,840 (the Proper, the Improper and the Prime Factors)

All the factors (divisors) of the number 7,665,840

1. Carry out the prime factorization of the number 7,665,840:

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

7,665,840 = 24 × 34 × 5 × 7 × 132
7,665,840 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 7,665,840

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
33 = 27
22 × 7 = 28
2 × 3 × 5 = 30
5 × 7 = 35
22 × 32 = 36
3 × 13 = 39
23 × 5 = 40
2 × 3 × 7 = 42
32 × 5 = 45
24 × 3 = 48
22 × 13 = 52
2 × 33 = 54
23 × 7 = 56
22 × 3 × 5 = 60
32 × 7 = 63
5 × 13 = 65
2 × 5 × 7 = 70
23 × 32 = 72
2 × 3 × 13 = 78
24 × 5 = 80
34 = 81
22 × 3 × 7 = 84
2 × 32 × 5 = 90
7 × 13 = 91
23 × 13 = 104
3 × 5 × 7 = 105
22 × 33 = 108
24 × 7 = 112
32 × 13 = 117
23 × 3 × 5 = 120
2 × 32 × 7 = 126
2 × 5 × 13 = 130
33 × 5 = 135
22 × 5 × 7 = 140
24 × 32 = 144
22 × 3 × 13 = 156
2 × 34 = 162
23 × 3 × 7 = 168
132 = 169
22 × 32 × 5 = 180
2 × 7 × 13 = 182
33 × 7 = 189
3 × 5 × 13 = 195
24 × 13 = 208
2 × 3 × 5 × 7 = 210
23 × 33 = 216
2 × 32 × 13 = 234
24 × 3 × 5 = 240
22 × 32 × 7 = 252
22 × 5 × 13 = 260
2 × 33 × 5 = 270
3 × 7 × 13 = 273
23 × 5 × 7 = 280
23 × 3 × 13 = 312
32 × 5 × 7 = 315
22 × 34 = 324
24 × 3 × 7 = 336
2 × 132 = 338
33 × 13 = 351
23 × 32 × 5 = 360
22 × 7 × 13 = 364
2 × 33 × 7 = 378
2 × 3 × 5 × 13 = 390
34 × 5 = 405
22 × 3 × 5 × 7 = 420
24 × 33 = 432
5 × 7 × 13 = 455
22 × 32 × 13 = 468
23 × 32 × 7 = 504
3 × 132 = 507
23 × 5 × 13 = 520
22 × 33 × 5 = 540
2 × 3 × 7 × 13 = 546
24 × 5 × 7 = 560
34 × 7 = 567
32 × 5 × 13 = 585
24 × 3 × 13 = 624
2 × 32 × 5 × 7 = 630
23 × 34 = 648
22 × 132 = 676
2 × 33 × 13 = 702
24 × 32 × 5 = 720
23 × 7 × 13 = 728
22 × 33 × 7 = 756
22 × 3 × 5 × 13 = 780
2 × 34 × 5 = 810
32 × 7 × 13 = 819
23 × 3 × 5 × 7 = 840
5 × 132 = 845
2 × 5 × 7 × 13 = 910
23 × 32 × 13 = 936
33 × 5 × 7 = 945
24 × 32 × 7 = 1,008
2 × 3 × 132 = 1,014
24 × 5 × 13 = 1,040
34 × 13 = 1,053
23 × 33 × 5 = 1,080
22 × 3 × 7 × 13 = 1,092
2 × 34 × 7 = 1,134
2 × 32 × 5 × 13 = 1,170
7 × 132 = 1,183
22 × 32 × 5 × 7 = 1,260
24 × 34 = 1,296
23 × 132 = 1,352
3 × 5 × 7 × 13 = 1,365
22 × 33 × 13 = 1,404
24 × 7 × 13 = 1,456
23 × 33 × 7 = 1,512
32 × 132 = 1,521
23 × 3 × 5 × 13 = 1,560
22 × 34 × 5 = 1,620
2 × 32 × 7 × 13 = 1,638
24 × 3 × 5 × 7 = 1,680
2 × 5 × 132 = 1,690
33 × 5 × 13 = 1,755
22 × 5 × 7 × 13 = 1,820
24 × 32 × 13 = 1,872
2 × 33 × 5 × 7 = 1,890
22 × 3 × 132 = 2,028
2 × 34 × 13 = 2,106
24 × 33 × 5 = 2,160
23 × 3 × 7 × 13 = 2,184
22 × 34 × 7 = 2,268
22 × 32 × 5 × 13 = 2,340
2 × 7 × 132 = 2,366
33 × 7 × 13 = 2,457
23 × 32 × 5 × 7 = 2,520
3 × 5 × 132 = 2,535
24 × 132 = 2,704
2 × 3 × 5 × 7 × 13 = 2,730
This list continues below...

... This list continues from above
23 × 33 × 13 = 2,808
34 × 5 × 7 = 2,835
24 × 33 × 7 = 3,024
2 × 32 × 132 = 3,042
24 × 3 × 5 × 13 = 3,120
23 × 34 × 5 = 3,240
22 × 32 × 7 × 13 = 3,276
22 × 5 × 132 = 3,380
2 × 33 × 5 × 13 = 3,510
3 × 7 × 132 = 3,549
23 × 5 × 7 × 13 = 3,640
22 × 33 × 5 × 7 = 3,780
23 × 3 × 132 = 4,056
32 × 5 × 7 × 13 = 4,095
22 × 34 × 13 = 4,212
24 × 3 × 7 × 13 = 4,368
23 × 34 × 7 = 4,536
33 × 132 = 4,563
23 × 32 × 5 × 13 = 4,680
22 × 7 × 132 = 4,732
2 × 33 × 7 × 13 = 4,914
24 × 32 × 5 × 7 = 5,040
2 × 3 × 5 × 132 = 5,070
34 × 5 × 13 = 5,265
22 × 3 × 5 × 7 × 13 = 5,460
24 × 33 × 13 = 5,616
2 × 34 × 5 × 7 = 5,670
5 × 7 × 132 = 5,915
22 × 32 × 132 = 6,084
24 × 34 × 5 = 6,480
23 × 32 × 7 × 13 = 6,552
23 × 5 × 132 = 6,760
22 × 33 × 5 × 13 = 7,020
2 × 3 × 7 × 132 = 7,098
24 × 5 × 7 × 13 = 7,280
34 × 7 × 13 = 7,371
23 × 33 × 5 × 7 = 7,560
32 × 5 × 132 = 7,605
24 × 3 × 132 = 8,112
2 × 32 × 5 × 7 × 13 = 8,190
23 × 34 × 13 = 8,424
24 × 34 × 7 = 9,072
2 × 33 × 132 = 9,126
24 × 32 × 5 × 13 = 9,360
23 × 7 × 132 = 9,464
22 × 33 × 7 × 13 = 9,828
22 × 3 × 5 × 132 = 10,140
2 × 34 × 5 × 13 = 10,530
32 × 7 × 132 = 10,647
23 × 3 × 5 × 7 × 13 = 10,920
22 × 34 × 5 × 7 = 11,340
2 × 5 × 7 × 132 = 11,830
23 × 32 × 132 = 12,168
33 × 5 × 7 × 13 = 12,285
24 × 32 × 7 × 13 = 13,104
24 × 5 × 132 = 13,520
34 × 132 = 13,689
23 × 33 × 5 × 13 = 14,040
22 × 3 × 7 × 132 = 14,196
2 × 34 × 7 × 13 = 14,742
24 × 33 × 5 × 7 = 15,120
2 × 32 × 5 × 132 = 15,210
22 × 32 × 5 × 7 × 13 = 16,380
24 × 34 × 13 = 16,848
3 × 5 × 7 × 132 = 17,745
22 × 33 × 132 = 18,252
24 × 7 × 132 = 18,928
23 × 33 × 7 × 13 = 19,656
23 × 3 × 5 × 132 = 20,280
22 × 34 × 5 × 13 = 21,060
2 × 32 × 7 × 132 = 21,294
24 × 3 × 5 × 7 × 13 = 21,840
23 × 34 × 5 × 7 = 22,680
33 × 5 × 132 = 22,815
22 × 5 × 7 × 132 = 23,660
24 × 32 × 132 = 24,336
2 × 33 × 5 × 7 × 13 = 24,570
2 × 34 × 132 = 27,378
24 × 33 × 5 × 13 = 28,080
23 × 3 × 7 × 132 = 28,392
22 × 34 × 7 × 13 = 29,484
22 × 32 × 5 × 132 = 30,420
33 × 7 × 132 = 31,941
23 × 32 × 5 × 7 × 13 = 32,760
2 × 3 × 5 × 7 × 132 = 35,490
23 × 33 × 132 = 36,504
34 × 5 × 7 × 13 = 36,855
24 × 33 × 7 × 13 = 39,312
24 × 3 × 5 × 132 = 40,560
23 × 34 × 5 × 13 = 42,120
22 × 32 × 7 × 132 = 42,588
24 × 34 × 5 × 7 = 45,360
2 × 33 × 5 × 132 = 45,630
23 × 5 × 7 × 132 = 47,320
22 × 33 × 5 × 7 × 13 = 49,140
32 × 5 × 7 × 132 = 53,235
22 × 34 × 132 = 54,756
24 × 3 × 7 × 132 = 56,784
23 × 34 × 7 × 13 = 58,968
23 × 32 × 5 × 132 = 60,840
2 × 33 × 7 × 132 = 63,882
24 × 32 × 5 × 7 × 13 = 65,520
34 × 5 × 132 = 68,445
22 × 3 × 5 × 7 × 132 = 70,980
24 × 33 × 132 = 73,008
2 × 34 × 5 × 7 × 13 = 73,710
24 × 34 × 5 × 13 = 84,240
23 × 32 × 7 × 132 = 85,176
22 × 33 × 5 × 132 = 91,260
24 × 5 × 7 × 132 = 94,640
34 × 7 × 132 = 95,823
23 × 33 × 5 × 7 × 13 = 98,280
2 × 32 × 5 × 7 × 132 = 106,470
23 × 34 × 132 = 109,512
24 × 34 × 7 × 13 = 117,936
24 × 32 × 5 × 132 = 121,680
22 × 33 × 7 × 132 = 127,764
2 × 34 × 5 × 132 = 136,890
23 × 3 × 5 × 7 × 132 = 141,960
22 × 34 × 5 × 7 × 13 = 147,420
33 × 5 × 7 × 132 = 159,705
24 × 32 × 7 × 132 = 170,352
23 × 33 × 5 × 132 = 182,520
2 × 34 × 7 × 132 = 191,646
24 × 33 × 5 × 7 × 13 = 196,560
22 × 32 × 5 × 7 × 132 = 212,940
24 × 34 × 132 = 219,024
23 × 33 × 7 × 132 = 255,528
22 × 34 × 5 × 132 = 273,780
24 × 3 × 5 × 7 × 132 = 283,920
23 × 34 × 5 × 7 × 13 = 294,840
2 × 33 × 5 × 7 × 132 = 319,410
24 × 33 × 5 × 132 = 365,040
22 × 34 × 7 × 132 = 383,292
23 × 32 × 5 × 7 × 132 = 425,880
34 × 5 × 7 × 132 = 479,115
24 × 33 × 7 × 132 = 511,056
23 × 34 × 5 × 132 = 547,560
24 × 34 × 5 × 7 × 13 = 589,680
22 × 33 × 5 × 7 × 132 = 638,820
23 × 34 × 7 × 132 = 766,584
24 × 32 × 5 × 7 × 132 = 851,760
2 × 34 × 5 × 7 × 132 = 958,230
24 × 34 × 5 × 132 = 1,095,120
23 × 33 × 5 × 7 × 132 = 1,277,640
24 × 34 × 7 × 132 = 1,533,168
22 × 34 × 5 × 7 × 132 = 1,916,460
24 × 33 × 5 × 7 × 132 = 2,555,280
23 × 34 × 5 × 7 × 132 = 3,832,920
24 × 34 × 5 × 7 × 132 = 7,665,840

The final answer:
(scroll down)

7,665,840 has 300 factors (divisors):
1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 12; 13; 14; 15; 16; 18; 20; 21; 24; 26; 27; 28; 30; 35; 36; 39; 40; 42; 45; 48; 52; 54; 56; 60; 63; 65; 70; 72; 78; 80; 81; 84; 90; 91; 104; 105; 108; 112; 117; 120; 126; 130; 135; 140; 144; 156; 162; 168; 169; 180; 182; 189; 195; 208; 210; 216; 234; 240; 252; 260; 270; 273; 280; 312; 315; 324; 336; 338; 351; 360; 364; 378; 390; 405; 420; 432; 455; 468; 504; 507; 520; 540; 546; 560; 567; 585; 624; 630; 648; 676; 702; 720; 728; 756; 780; 810; 819; 840; 845; 910; 936; 945; 1,008; 1,014; 1,040; 1,053; 1,080; 1,092; 1,134; 1,170; 1,183; 1,260; 1,296; 1,352; 1,365; 1,404; 1,456; 1,512; 1,521; 1,560; 1,620; 1,638; 1,680; 1,690; 1,755; 1,820; 1,872; 1,890; 2,028; 2,106; 2,160; 2,184; 2,268; 2,340; 2,366; 2,457; 2,520; 2,535; 2,704; 2,730; 2,808; 2,835; 3,024; 3,042; 3,120; 3,240; 3,276; 3,380; 3,510; 3,549; 3,640; 3,780; 4,056; 4,095; 4,212; 4,368; 4,536; 4,563; 4,680; 4,732; 4,914; 5,040; 5,070; 5,265; 5,460; 5,616; 5,670; 5,915; 6,084; 6,480; 6,552; 6,760; 7,020; 7,098; 7,280; 7,371; 7,560; 7,605; 8,112; 8,190; 8,424; 9,072; 9,126; 9,360; 9,464; 9,828; 10,140; 10,530; 10,647; 10,920; 11,340; 11,830; 12,168; 12,285; 13,104; 13,520; 13,689; 14,040; 14,196; 14,742; 15,120; 15,210; 16,380; 16,848; 17,745; 18,252; 18,928; 19,656; 20,280; 21,060; 21,294; 21,840; 22,680; 22,815; 23,660; 24,336; 24,570; 27,378; 28,080; 28,392; 29,484; 30,420; 31,941; 32,760; 35,490; 36,504; 36,855; 39,312; 40,560; 42,120; 42,588; 45,360; 45,630; 47,320; 49,140; 53,235; 54,756; 56,784; 58,968; 60,840; 63,882; 65,520; 68,445; 70,980; 73,008; 73,710; 84,240; 85,176; 91,260; 94,640; 95,823; 98,280; 106,470; 109,512; 117,936; 121,680; 127,764; 136,890; 141,960; 147,420; 159,705; 170,352; 182,520; 191,646; 196,560; 212,940; 219,024; 255,528; 273,780; 283,920; 294,840; 319,410; 365,040; 383,292; 425,880; 479,115; 511,056; 547,560; 589,680; 638,820; 766,584; 851,760; 958,230; 1,095,120; 1,277,640; 1,533,168; 1,916,460; 2,555,280; 3,832,920 and 7,665,840
out of which 5 prime factors: 2; 3; 5; 7 and 13
7,665,840 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 7,665,832?

» What are all the proper, improper and prime factors (divisors) of the number 7,665,841?


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 7,665,840? How to calculate them? May 16 03:17 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 7,990,476? How to calculate them? May 16 03:17 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 515,648? How to calculate them? May 16 03:17 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 23,773,932? How to calculate them? May 16 03:17 UTC (GMT)
What are all the common factors (all the divisors and the prime factors) of the numbers 81,927,999 and 1,000,000,000,000? How to calculate them? May 16 03:17 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 810,006? How to calculate them? May 16 03:17 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 30,880? How to calculate them? May 16 03:17 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 14,802,080? How to calculate them? May 16 03:17 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 182,784,007? How to calculate them? May 16 03:17 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 2,293? How to calculate them? May 16 03:17 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".