Prime factorization calculator
Break a positive integer into its prime factors with exponents (e.g. 360 = 2³ × 3² × 5).
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Tool guide
Prime factorization calculator: how it works
Practical information to understand the result and use this tool correctly.
About Prime factorization calculator
Prime factorization expresses a number as a product of primes raised to powers.
Essential for LCM, GCD, simplifying fractions, and radicals.
Results show the compact product form and a count of distinct primes.
How to use it
- 1Enter an integer n ≥ 2.
- 2Calculate the prime factorization.
- 3Use the check line to confirm the product.
Frequently asked questions
- Is 1 allowed?
- No — 1 is not a product of primes.
- Large numbers?
- Very large inputs may be slow in the browser.