 # Factorization Calculator

## Enter Number

### 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 sum
aliquot sum is the sum of all the factors of a number except the number itself
digit
Any of the numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) used to construct a number
factor
a 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.
factorization
power
how many times to use the number in a multiplication
prime number
a natural number greater than 1 that is not a product of two smaller natural numbers.
sum
the total amount resulting from the addition of two or more numbers, amounts, or items