Math

Prime Factorization Calculator

Prime factorization calculator for positive integers with exponent notation, factor list, divisor count, and primality result.

Prime factorization expresses a positive integer as a product of prime numbers. Apart from factor order, every integer greater than one has a unique prime factorization.

This browser tool is designed for everyday-sized whole numbers. Extremely large integers require specialized algorithms.

Frequently asked questions

Is 1 a prime number?

No. Prime factorization applies to integers greater than one.

Why is the factorization unique?

The fundamental theorem of arithmetic says every integer greater than one has one prime factorization apart from order.

What is exponent notation?

A factor such as 2^3 means 2 × 2 × 2.