Show Factorization for 32 ·

10 Jun 2024, 00:00

Enter Number

Show all factor pairs, prime factorization,

sum of factors (divisors), aliquot sum,

and prime power decomposition of 32

Factor Pair Logic Rules

1) 0 < Factor Pairs ≤ 32

2) The factor pair product = 32

Factor Pairs Table

Number	Factor Pairs	Factor Pairs Sum
32	1 x 32	33
32	2 x 16	18
32	4 x 8	12

There are 3 factor pairs of 32

List factors of 32

1, 2, 4, 8, 16, 32

List odd factors of 32

List even factors of 32

2, 4, 8, 16, 32

Calculate proper factors of 32

Proper factors are all factors except for the number itself
in this case 32

1, 2, 4, 8, 16

Prime factorization for 32

32 = 2 x 16 <--- 2 is a prime number

Reduce 16 to the product of primes:

16 = 2 x 8 <--- 2 is a prime number

Reduce 8 to the product of primes:

8 = 2 x 4 <--- 2 is a prime number

Reduce 4 to the product of primes:

4 = 2 x 2 <--- 2 is a prime number

Reduce 2 to the product of primes:

Show prime factorization:

2 x 2 x 2 x 2 x 2

Prime Power Decomposition

Show the sum of factors (divisors) for 32

1 + 32 + 2 + 16 + 4 + 8 = 63

Show the aliquot sum:

This is the sum of all the factors except the number

1 + 2 + 16 + 4 + 8 = 31

What is the Answer?

1, 2, 4, 8, 16, 32

How does the Factorization Calculator work?

Free Factorization Calculator - Given a positive integer, this calculates the following for that number:
1) Factor pairs and prime factorization and prime power decomposition
2) Factors and Proper Factors 3) Aliquot Sum
This calculator has 1 input.

What 3 formulas are used for the Factorization Calculator?

Find all pairs that have a product equal to the number you want to factor
For factors in step 1, find the prime factorization for each number

For more math formulas, check out our Formula Dossier

What 7 concepts are covered in the Factorization Calculator?

aliquot sumaliquot sum is the sum of all the factors of a number except the number itselfdigitAny of the numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) used to construct a numberfactora divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n.factorizationpowerhow many times to use the number in a multiplicationprime numbera natural number greater than 1 that is not a product of two smaller natural numbers.sumthe total amount resulting from the addition of two or more numbers, amounts, or items

Show Factorization for 32

Show all factor pairs, prime factorization, sum of factors (divisors), aliquot sum, and prime power decomposition of 32 1) 0 < Factor Pairs 32 2) The factor pair product = 32 There are 3 factor pairs of 32