This **Prime factor calculator** can calculate the prime factors for large integers. A prime number is a natural number greater than 1 that only has two factors : one and itself.

Examples : 2, 3, 5, 7, 11, 13, 17, 19, . . .

This prime factorization calculator calculates prime factors using JavaScript.

## How to calculate the prime factorization number?

For example we take the number 15, Since 15 ÷ 3 = 5, we know that 3 and 5 are factors of 15. 1 and 15 are also factors but we don’t use them here because when finding the **prime factorization**, we always use factors other than 1 and number itself. So the *prime factorization* of the number 15 is 3 times 5.

Think of the __prime factorization__ of a number is the prime factors of the number that you multiply together to get the original number.

How this calculator works? For example we take the number 81, We need to divide 81 by prime numbers to find it’s factors.

81 ÷ 3 | = | 27 (27 * 3) |

27 ÷ 3 | = | 9 (9 * 3 * 3) |

9 ÷ 3 | = | 3 (3 * 3 * 3 * 3) |