Prime Factorization Calculator

Find the prime factors and all factors of any positive integer instantly.

What is Prime Factorization?

Prime factorization is the process of finding which prime numbers multiply together to make the original number. A prime number is a whole number greater than 1 that cannot be made by multiplying other whole numbers.

Example

The prime factors of 12 are 2, 2, and 3 (because 2 × 2 × 3 = 12). Written in exponent form, this is 2² × 3¹.

Why is it useful?

Prime factorization is used in cryptography, finding common denominators for fractions, and solving complex algebraic problems.