Prime Factorization Calculator

Break any whole number into its prime factors, shown in exponent form. Instant, in your browser.

Frequently asked questions

What is prime factorization?

It expresses a number as a product of prime numbers — for example 360 = 2 × 2 × 2 × 3 × 3 × 5, written compactly as 2³ × 3² × 5.

How big a number can it handle?

Up to 10,000,000,000,000 (10¹³). It uses trial division, which is instant for numbers in this range.

How do I know if a number is prime?

If the factorization is just the number itself, it has no smaller prime factors — so it's prime. The tool labels these for you.