Prime Factorization Calculator

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Here is a prime factorization calculator, which will find the prime factors of a number. If a prime factor appears multiple times, it will list it in the box. If you enter a prime, it will return only the input itself.

Need a similar tool? Here are related factoring calculators:

Prime Factorization Calculator

What is a Prime Factor?

A factor is an integer which divides another number with no remainder, while a prime factor is a factor which can't be divided further beyond itself and '1'. Prime numbers can not be decomposed evenly beyond themselves.

Take 2 numbers: 6 and 7.

  • 6 is divisible evenly by 1 and 6 PLUS 2 and 3. It is not a prime.
  • 7 is divisible by 1 and 7 AND NOTHING else. It is a prime.

Using the Prime Factorization Calculator

To use the prime factor calculator, enter a number into the Number to Factor box. Don't touch the Factor Types pull-down; leave it as All Numbers. (You can also show all factors if you choose).

Finally, hit the Factor Number button. The tool returns all prime factors, including multiples of a prime if it shows up more than once in the factorization. If you entered a prime into the tool, you will see only the number itself.

Have fun with that? Next see more tools.

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