Prime Factorization

Break any whole number into its prime factors and test divisibility, with the division steps shown. Enter a number like 360 and get its factorization in exponent form.

Try an example:

How the Prime Factorization works

  1. Divide by the smallest prime (2) as many times as possible.
  2. Move to the next primes (3, 5, 7…) and repeat until the quotient is 1.
  3. Write the primes as a product using exponents: 360 = 2³ × 3² × 5.

Frequently asked questions

What is a prime number?

A prime has exactly two factors, 1 and itself. 2, 3, 5, 7 and 11 are primes; 1 is not.

How can I tell if a number is divisible by 3?

Add its digits. If the digit sum is divisible by 3, so is the number.

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