Math & Science

Prime Factorization

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Find the prime factors of any number up to 1 billion. Shows the full factorization expression, prime factor exponents, and all divisors. Free, instant, no signup.

Como usar esta ferramenta

  1. Enter a whole number up to one billion.
  2. It is broken down into prime factors by trial division.
  3. Read the factorisation expression, the exponents, and all divisors.

Perguntas frequentes

What is prime factorisation?
Writing a number as a product of primes, e.g. 360 = 2³ × 3² × 5. Every whole number above 1 has a unique prime factorisation.
How large a number can it factor?
Up to one billion. It divides out prime factors by trial division up to the square root, which stays fast within that range.
What else does it show?
The full factorisation expression, each prime's exponent, and the complete list of divisors of the number.
Is my number uploaded?
No. The factorisation is done in your browser; the number you enter never leaves the page.
guide

How to Find Prime Factors of a Number

How to Find Prime Factors of a Number — free online tool and guide with examples.

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