Prime Factorization Calculator

Find the prime factorization of any whole number.

About this tool

Break down any whole number into its prime factors \u2014 the prime numbers that multiply together to produce it \u2014 using trial division.

Key Features

  • Full prime factorization with exponents
  • Works for any whole number \u2265 2
  • Instantly identifies if a number is already prime

How to Use

  1. Enter a whole number.
  2. Click Factorize.

Benefits

  • Check math homework on factorization
  • Find the greatest common factor or least common multiple manually
  • Understand a number's prime building blocks

Frequently Asked Questions

It will show that the number's only prime factor is itself, to the first power \u2014 which is exactly what it means for a number to be prime.
No \u2014 1 has no prime factors at all, since it's excluded from both the prime and composite number categories by definition. Enter a number of 2 or greater.

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