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.



PK started DQYDJ in 2009 to research and discuss finance and investing and help answer financial questions. He's expanded DQYDJ to build visualizations, calculators, and interactive tools.

PK lives in New Hampshire with his wife, kids, and dog.

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