Given the Number 5,331,744, Calculate (Find) All the Factors (All the Divisors) of the Number 5,331,744 (the Proper, the Improper and the Prime Factors)

All the factors (divisors) of the number 5,331,744

1. Carry out the prime factorization of the number 5,331,744:

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

5,331,744 = 25 × 34 × 112 × 17
5,331,744 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 5,331,744

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
2 × 3 = 6
23 = 8
32 = 9
prime factor = 11
22 × 3 = 12
24 = 16
prime factor = 17
2 × 32 = 18
2 × 11 = 22
23 × 3 = 24
33 = 27
25 = 32
3 × 11 = 33
2 × 17 = 34
22 × 32 = 36
22 × 11 = 44
24 × 3 = 48
3 × 17 = 51
2 × 33 = 54
2 × 3 × 11 = 66
22 × 17 = 68
23 × 32 = 72
34 = 81
23 × 11 = 88
25 × 3 = 96
32 × 11 = 99
2 × 3 × 17 = 102
22 × 33 = 108
112 = 121
22 × 3 × 11 = 132
23 × 17 = 136
24 × 32 = 144
32 × 17 = 153
2 × 34 = 162
24 × 11 = 176
11 × 17 = 187
2 × 32 × 11 = 198
22 × 3 × 17 = 204
23 × 33 = 216
2 × 112 = 242
23 × 3 × 11 = 264
24 × 17 = 272
25 × 32 = 288
33 × 11 = 297
2 × 32 × 17 = 306
22 × 34 = 324
25 × 11 = 352
3 × 112 = 363
2 × 11 × 17 = 374
22 × 32 × 11 = 396
23 × 3 × 17 = 408
24 × 33 = 432
33 × 17 = 459
22 × 112 = 484
24 × 3 × 11 = 528
25 × 17 = 544
3 × 11 × 17 = 561
2 × 33 × 11 = 594
22 × 32 × 17 = 612
23 × 34 = 648
2 × 3 × 112 = 726
22 × 11 × 17 = 748
23 × 32 × 11 = 792
24 × 3 × 17 = 816
25 × 33 = 864
34 × 11 = 891
2 × 33 × 17 = 918
23 × 112 = 968
25 × 3 × 11 = 1,056
32 × 112 = 1,089
2 × 3 × 11 × 17 = 1,122
22 × 33 × 11 = 1,188
23 × 32 × 17 = 1,224
24 × 34 = 1,296
34 × 17 = 1,377
22 × 3 × 112 = 1,452
23 × 11 × 17 = 1,496
24 × 32 × 11 = 1,584
25 × 3 × 17 = 1,632
32 × 11 × 17 = 1,683
2 × 34 × 11 = 1,782
22 × 33 × 17 = 1,836
24 × 112 = 1,936
112 × 17 = 2,057
2 × 32 × 112 = 2,178
22 × 3 × 11 × 17 = 2,244
This list continues below...

... This list continues from above
23 × 33 × 11 = 2,376
24 × 32 × 17 = 2,448
25 × 34 = 2,592
2 × 34 × 17 = 2,754
23 × 3 × 112 = 2,904
24 × 11 × 17 = 2,992
25 × 32 × 11 = 3,168
33 × 112 = 3,267
2 × 32 × 11 × 17 = 3,366
22 × 34 × 11 = 3,564
23 × 33 × 17 = 3,672
25 × 112 = 3,872
2 × 112 × 17 = 4,114
22 × 32 × 112 = 4,356
23 × 3 × 11 × 17 = 4,488
24 × 33 × 11 = 4,752
25 × 32 × 17 = 4,896
33 × 11 × 17 = 5,049
22 × 34 × 17 = 5,508
24 × 3 × 112 = 5,808
25 × 11 × 17 = 5,984
3 × 112 × 17 = 6,171
2 × 33 × 112 = 6,534
22 × 32 × 11 × 17 = 6,732
23 × 34 × 11 = 7,128
24 × 33 × 17 = 7,344
22 × 112 × 17 = 8,228
23 × 32 × 112 = 8,712
24 × 3 × 11 × 17 = 8,976
25 × 33 × 11 = 9,504
34 × 112 = 9,801
2 × 33 × 11 × 17 = 10,098
23 × 34 × 17 = 11,016
25 × 3 × 112 = 11,616
2 × 3 × 112 × 17 = 12,342
22 × 33 × 112 = 13,068
23 × 32 × 11 × 17 = 13,464
24 × 34 × 11 = 14,256
25 × 33 × 17 = 14,688
34 × 11 × 17 = 15,147
23 × 112 × 17 = 16,456
24 × 32 × 112 = 17,424
25 × 3 × 11 × 17 = 17,952
32 × 112 × 17 = 18,513
2 × 34 × 112 = 19,602
22 × 33 × 11 × 17 = 20,196
24 × 34 × 17 = 22,032
22 × 3 × 112 × 17 = 24,684
23 × 33 × 112 = 26,136
24 × 32 × 11 × 17 = 26,928
25 × 34 × 11 = 28,512
2 × 34 × 11 × 17 = 30,294
24 × 112 × 17 = 32,912
25 × 32 × 112 = 34,848
2 × 32 × 112 × 17 = 37,026
22 × 34 × 112 = 39,204
23 × 33 × 11 × 17 = 40,392
25 × 34 × 17 = 44,064
23 × 3 × 112 × 17 = 49,368
24 × 33 × 112 = 52,272
25 × 32 × 11 × 17 = 53,856
33 × 112 × 17 = 55,539
22 × 34 × 11 × 17 = 60,588
25 × 112 × 17 = 65,824
22 × 32 × 112 × 17 = 74,052
23 × 34 × 112 = 78,408
24 × 33 × 11 × 17 = 80,784
24 × 3 × 112 × 17 = 98,736
25 × 33 × 112 = 104,544
2 × 33 × 112 × 17 = 111,078
23 × 34 × 11 × 17 = 121,176
23 × 32 × 112 × 17 = 148,104
24 × 34 × 112 = 156,816
25 × 33 × 11 × 17 = 161,568
34 × 112 × 17 = 166,617
25 × 3 × 112 × 17 = 197,472
22 × 33 × 112 × 17 = 222,156
24 × 34 × 11 × 17 = 242,352
24 × 32 × 112 × 17 = 296,208
25 × 34 × 112 = 313,632
2 × 34 × 112 × 17 = 333,234
23 × 33 × 112 × 17 = 444,312
25 × 34 × 11 × 17 = 484,704
25 × 32 × 112 × 17 = 592,416
22 × 34 × 112 × 17 = 666,468
24 × 33 × 112 × 17 = 888,624
23 × 34 × 112 × 17 = 1,332,936
25 × 33 × 112 × 17 = 1,777,248
24 × 34 × 112 × 17 = 2,665,872
25 × 34 × 112 × 17 = 5,331,744

The final answer:
(scroll down)

5,331,744 has 180 factors (divisors):
1; 2; 3; 4; 6; 8; 9; 11; 12; 16; 17; 18; 22; 24; 27; 32; 33; 34; 36; 44; 48; 51; 54; 66; 68; 72; 81; 88; 96; 99; 102; 108; 121; 132; 136; 144; 153; 162; 176; 187; 198; 204; 216; 242; 264; 272; 288; 297; 306; 324; 352; 363; 374; 396; 408; 432; 459; 484; 528; 544; 561; 594; 612; 648; 726; 748; 792; 816; 864; 891; 918; 968; 1,056; 1,089; 1,122; 1,188; 1,224; 1,296; 1,377; 1,452; 1,496; 1,584; 1,632; 1,683; 1,782; 1,836; 1,936; 2,057; 2,178; 2,244; 2,376; 2,448; 2,592; 2,754; 2,904; 2,992; 3,168; 3,267; 3,366; 3,564; 3,672; 3,872; 4,114; 4,356; 4,488; 4,752; 4,896; 5,049; 5,508; 5,808; 5,984; 6,171; 6,534; 6,732; 7,128; 7,344; 8,228; 8,712; 8,976; 9,504; 9,801; 10,098; 11,016; 11,616; 12,342; 13,068; 13,464; 14,256; 14,688; 15,147; 16,456; 17,424; 17,952; 18,513; 19,602; 20,196; 22,032; 24,684; 26,136; 26,928; 28,512; 30,294; 32,912; 34,848; 37,026; 39,204; 40,392; 44,064; 49,368; 52,272; 53,856; 55,539; 60,588; 65,824; 74,052; 78,408; 80,784; 98,736; 104,544; 111,078; 121,176; 148,104; 156,816; 161,568; 166,617; 197,472; 222,156; 242,352; 296,208; 313,632; 333,234; 444,312; 484,704; 592,416; 666,468; 888,624; 1,332,936; 1,777,248; 2,665,872 and 5,331,744
out of which 4 prime factors: 2; 3; 11 and 17
5,331,744 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 5,331,743?

» What are all the proper, improper and prime factors (divisors) of the number 5,331,750?


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 5,331,744? How to calculate them? May 14 16:22 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 1,566,873? How to calculate them? May 14 16:22 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 13,968? How to calculate them? May 14 16:22 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 85,008? How to calculate them? May 14 16:22 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 84,600? How to calculate them? May 14 16:22 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 8,500? How to calculate them? May 14 16:22 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 69,482? How to calculate them? May 14 16:22 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 10,721? How to calculate them? May 14 16:22 UTC (GMT)
What are all the common factors (all the divisors and the prime factors) of the numbers 85 and 154? How to calculate them? May 14 16:22 UTC (GMT)
What are all the common factors (all the divisors and the prime factors) of the numbers 129,282,450 and 284,421,390? How to calculate them? May 14 16:22 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".