Given the Number 3,339,072, Calculate (Find) All the Factors (All the Divisors) of the Number 3,339,072 (the Proper, the Improper and the Prime Factors)

All the factors (divisors) of the number 3,339,072

1. Carry out the prime factorization of the number 3,339,072:

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

3,339,072 = 26 × 32 × 11 × 17 × 31
3,339,072 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 3,339,072

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
prime factor = 31
25 = 32
3 × 11 = 33
2 × 17 = 34
22 × 32 = 36
22 × 11 = 44
24 × 3 = 48
3 × 17 = 51
2 × 31 = 62
26 = 64
2 × 3 × 11 = 66
22 × 17 = 68
23 × 32 = 72
23 × 11 = 88
3 × 31 = 93
25 × 3 = 96
32 × 11 = 99
2 × 3 × 17 = 102
22 × 31 = 124
22 × 3 × 11 = 132
23 × 17 = 136
24 × 32 = 144
32 × 17 = 153
24 × 11 = 176
2 × 3 × 31 = 186
11 × 17 = 187
26 × 3 = 192
2 × 32 × 11 = 198
22 × 3 × 17 = 204
23 × 31 = 248
23 × 3 × 11 = 264
24 × 17 = 272
32 × 31 = 279
25 × 32 = 288
2 × 32 × 17 = 306
11 × 31 = 341
25 × 11 = 352
22 × 3 × 31 = 372
2 × 11 × 17 = 374
22 × 32 × 11 = 396
23 × 3 × 17 = 408
24 × 31 = 496
17 × 31 = 527
24 × 3 × 11 = 528
25 × 17 = 544
2 × 32 × 31 = 558
3 × 11 × 17 = 561
26 × 32 = 576
22 × 32 × 17 = 612
2 × 11 × 31 = 682
26 × 11 = 704
23 × 3 × 31 = 744
22 × 11 × 17 = 748
23 × 32 × 11 = 792
24 × 3 × 17 = 816
25 × 31 = 992
3 × 11 × 31 = 1,023
2 × 17 × 31 = 1,054
25 × 3 × 11 = 1,056
26 × 17 = 1,088
22 × 32 × 31 = 1,116
2 × 3 × 11 × 17 = 1,122
23 × 32 × 17 = 1,224
22 × 11 × 31 = 1,364
24 × 3 × 31 = 1,488
23 × 11 × 17 = 1,496
3 × 17 × 31 = 1,581
24 × 32 × 11 = 1,584
25 × 3 × 17 = 1,632
32 × 11 × 17 = 1,683
This list continues below...

... This list continues from above
26 × 31 = 1,984
2 × 3 × 11 × 31 = 2,046
22 × 17 × 31 = 2,108
26 × 3 × 11 = 2,112
23 × 32 × 31 = 2,232
22 × 3 × 11 × 17 = 2,244
24 × 32 × 17 = 2,448
23 × 11 × 31 = 2,728
25 × 3 × 31 = 2,976
24 × 11 × 17 = 2,992
32 × 11 × 31 = 3,069
2 × 3 × 17 × 31 = 3,162
25 × 32 × 11 = 3,168
26 × 3 × 17 = 3,264
2 × 32 × 11 × 17 = 3,366
22 × 3 × 11 × 31 = 4,092
23 × 17 × 31 = 4,216
24 × 32 × 31 = 4,464
23 × 3 × 11 × 17 = 4,488
32 × 17 × 31 = 4,743
25 × 32 × 17 = 4,896
24 × 11 × 31 = 5,456
11 × 17 × 31 = 5,797
26 × 3 × 31 = 5,952
25 × 11 × 17 = 5,984
2 × 32 × 11 × 31 = 6,138
22 × 3 × 17 × 31 = 6,324
26 × 32 × 11 = 6,336
22 × 32 × 11 × 17 = 6,732
23 × 3 × 11 × 31 = 8,184
24 × 17 × 31 = 8,432
25 × 32 × 31 = 8,928
24 × 3 × 11 × 17 = 8,976
2 × 32 × 17 × 31 = 9,486
26 × 32 × 17 = 9,792
25 × 11 × 31 = 10,912
2 × 11 × 17 × 31 = 11,594
26 × 11 × 17 = 11,968
22 × 32 × 11 × 31 = 12,276
23 × 3 × 17 × 31 = 12,648
23 × 32 × 11 × 17 = 13,464
24 × 3 × 11 × 31 = 16,368
25 × 17 × 31 = 16,864
3 × 11 × 17 × 31 = 17,391
26 × 32 × 31 = 17,856
25 × 3 × 11 × 17 = 17,952
22 × 32 × 17 × 31 = 18,972
26 × 11 × 31 = 21,824
22 × 11 × 17 × 31 = 23,188
23 × 32 × 11 × 31 = 24,552
24 × 3 × 17 × 31 = 25,296
24 × 32 × 11 × 17 = 26,928
25 × 3 × 11 × 31 = 32,736
26 × 17 × 31 = 33,728
2 × 3 × 11 × 17 × 31 = 34,782
26 × 3 × 11 × 17 = 35,904
23 × 32 × 17 × 31 = 37,944
23 × 11 × 17 × 31 = 46,376
24 × 32 × 11 × 31 = 49,104
25 × 3 × 17 × 31 = 50,592
32 × 11 × 17 × 31 = 52,173
25 × 32 × 11 × 17 = 53,856
26 × 3 × 11 × 31 = 65,472
22 × 3 × 11 × 17 × 31 = 69,564
24 × 32 × 17 × 31 = 75,888
24 × 11 × 17 × 31 = 92,752
25 × 32 × 11 × 31 = 98,208
26 × 3 × 17 × 31 = 101,184
2 × 32 × 11 × 17 × 31 = 104,346
26 × 32 × 11 × 17 = 107,712
23 × 3 × 11 × 17 × 31 = 139,128
25 × 32 × 17 × 31 = 151,776
25 × 11 × 17 × 31 = 185,504
26 × 32 × 11 × 31 = 196,416
22 × 32 × 11 × 17 × 31 = 208,692
24 × 3 × 11 × 17 × 31 = 278,256
26 × 32 × 17 × 31 = 303,552
26 × 11 × 17 × 31 = 371,008
23 × 32 × 11 × 17 × 31 = 417,384
25 × 3 × 11 × 17 × 31 = 556,512
24 × 32 × 11 × 17 × 31 = 834,768
26 × 3 × 11 × 17 × 31 = 1,113,024
25 × 32 × 11 × 17 × 31 = 1,669,536
26 × 32 × 11 × 17 × 31 = 3,339,072

The final answer:
(scroll down)

3,339,072 has 168 factors (divisors):
1; 2; 3; 4; 6; 8; 9; 11; 12; 16; 17; 18; 22; 24; 31; 32; 33; 34; 36; 44; 48; 51; 62; 64; 66; 68; 72; 88; 93; 96; 99; 102; 124; 132; 136; 144; 153; 176; 186; 187; 192; 198; 204; 248; 264; 272; 279; 288; 306; 341; 352; 372; 374; 396; 408; 496; 527; 528; 544; 558; 561; 576; 612; 682; 704; 744; 748; 792; 816; 992; 1,023; 1,054; 1,056; 1,088; 1,116; 1,122; 1,224; 1,364; 1,488; 1,496; 1,581; 1,584; 1,632; 1,683; 1,984; 2,046; 2,108; 2,112; 2,232; 2,244; 2,448; 2,728; 2,976; 2,992; 3,069; 3,162; 3,168; 3,264; 3,366; 4,092; 4,216; 4,464; 4,488; 4,743; 4,896; 5,456; 5,797; 5,952; 5,984; 6,138; 6,324; 6,336; 6,732; 8,184; 8,432; 8,928; 8,976; 9,486; 9,792; 10,912; 11,594; 11,968; 12,276; 12,648; 13,464; 16,368; 16,864; 17,391; 17,856; 17,952; 18,972; 21,824; 23,188; 24,552; 25,296; 26,928; 32,736; 33,728; 34,782; 35,904; 37,944; 46,376; 49,104; 50,592; 52,173; 53,856; 65,472; 69,564; 75,888; 92,752; 98,208; 101,184; 104,346; 107,712; 139,128; 151,776; 185,504; 196,416; 208,692; 278,256; 303,552; 371,008; 417,384; 556,512; 834,768; 1,113,024; 1,669,536 and 3,339,072
out of which 5 prime factors: 2; 3; 11; 17 and 31
3,339,072 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 3,339,059?

» What are all the proper, improper and prime factors (divisors) of the number 3,339,080?


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 3,339,072? How to calculate them? Apr 19 05:42 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 336,210? How to calculate them? Apr 19 05:42 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 6,016? How to calculate them? Apr 19 05:42 UTC (GMT)
What are all the common factors (all the divisors and the prime factors) of the numbers 30 and 60? How to calculate them? Apr 19 05:42 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 76,365? How to calculate them? Apr 19 05:42 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 6,123,900? How to calculate them? Apr 19 05:42 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 174,003,847? How to calculate them? Apr 19 05:42 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 14,409,222? How to calculate them? Apr 19 05:42 UTC (GMT)
What are all the common factors (all the divisors and the prime factors) of the numbers 1,001,815 and 17? How to calculate them? Apr 19 05:42 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 46,341? How to calculate them? Apr 19 05:42 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".