purr.tools

Factor Calculator

Enter a whole number to find all its factors and its prime factorization.

Enter a whole number between 2 and 1,000,000

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How to find factors of a number

Enter a whole number between 2 and 1,000,000. The calculator finds all divisors by testing every integer up to the square root of the number, then pairing each divisor with its complement. Prime factorization breaks the number into its prime building blocks.

Factors reference

A factor of n is any integer that divides n with no remainder. Every number has at least two factors: 1 and itself. A prime number has exactly those two factors. Composite numbers have additional factors. Prime factorization is unique for every number.

FAQ

What is the difference between a factor and a prime factor?

A factor is any number that divides evenly into the given number. A prime factor is a factor that is also a prime number. Prime factorization expresses a number as a product of only its prime factors.

How do I know if a number is prime?

A prime number has exactly two factors: 1 and itself. Examples include 2, 3, 5, 7, 11, and 13. If the calculator shows only two factors for your number, it is prime.

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  src="https://purr.tools/en/embed/factor-calculator"
  width="100%"
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  style="border:0;border-radius:8px;"
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  title="Factor Calculator — Find All Factors & Prime Factorization"
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