How to calculate prime factors
Divide by 2, 3, 5, 7… until nothing divides evenly; the divisors are the prime factors
Worked example. Prime factorization: 2^3 × 3^2 × 5.
Example inputs — Whole number (2 or more): 360. Starting values are illustrative.
From George Guju, founder of Calculyn · Educational calculator guidance, not professional advice.
How it works
Every whole number is either prime or a unique product of prime numbers. We divide by the smallest primes first until only primes remain.
Assumptions & limitations
- Results are rounded for display.
Formula and assumptions reviewed October 2026 by the Calculyn team. How we build our calculators
Frequently asked questions
What is prime factorization used for?
Finding GCF and LCM, simplifying fractions, and it underpins modern cryptography.