Prime Factorization Calculator
Break a number down into its prime factors.
Result
2^3 × 3^2 × 5
360 = 2^3 × 3^2 × 5
Result in all units
Step-by-step solution
What Is Prime Factorization?
Prime factorization is the process of writing a number as a product of prime numbers only. It is the basis of GCD, LCM and simplification.
How is it calculated?
How Is It Calculated?
- Enter the number.
- Starting from the smallest prime number (2), the number is divided as long as it is divisible.
- The factors are written in exponential form.
For example, 60 = 2² × 3 × 5.
Frequently Asked Questions
What are prime factors used for?
They are used in finding GCD-LCM, in simplifying fractions and in simplifying radicals.