Math Calculators
Prime Factorization Calculator
Break a number into its prime factors.
FreeNo sign-upWorks in your browser
Prime factorization
360 = 2 × 2 × 2 × 3 × 3 × 5
Exponent form
2^3 × 3^2 × 5
Number of prime factors
6 (with multiplicity)
Every integer greater than 1 has a unique prime factorization.
About the Prime Factorization Calculator
Enter any whole number and get its prime factorization — the unique set of prime numbers that multiply to give it — shown both expanded (2 × 2 × 3 × 3 × …) and in exponent form. It also tells you when a number is prime. Handy for simplifying fractions, finding GCF/LCM, and number-theory homework.
How to use the Prime Factorization Calculator
- 1Enter your a whole number.
- 2Read the result instantly — it recalculates as you type.
- 3Adjust the numbers to model different scenarios.
Frequently asked questions
What is prime factorization?
It's writing a number as a product of prime numbers — for example, 360 = 2³ × 3² × 5. Every integer above 1 has exactly one prime factorization.
How large a number can it factor?
Any whole number up to a trillion factors quickly in your browser.