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Prime factorization calculator
Check if a number is prime and break it into prime factors.
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- Works on any device
About Prime factorization calculator
Tests whether a number is prime and, if not, breaks it into prime factors, for example 360 = 2 cubed x 3 squared x 5. Every integer above 1 has exactly one such factorization. It is useful for simplifying fractions, finding GCD and LCM, and homework on divisibility.
How to use Prime factorization calculator
- Type a whole number greater than 1.
- Read whether it is prime.
- If it is not, read its prime factors written as a product with exponents.
Why use this tool?
- Private: everything happens in your browser. Nothing you enter is uploaded.
- Free, with no sign-up, no watermark and no limit on how often you use it.
- Works on phones, tablets and computers: Android, iPhone, Windows, Mac and Linux. Nothing to install.
- Free to embed on your own website, with a ready-made code to copy.
- Available in 10 languages.
Also known as
Frequently asked questions
Is 1 a prime number?
No. A prime has exactly two distinct divisors, 1 and itself, and 1 has only one. Excluding it keeps prime factorization unique, and 2 is the only even prime.
How can I check if a number is prime by hand?
Try dividing it by primes up to its square root. If none divide evenly, it is prime. For 97, you only need to test 2, 3, 5 and 7.
What is prime factorization used for?
It helps find the GCD and LCM, simplify fractions and square roots, and it underpins encryption methods that rely on large numbers being hard to factor.
Is Prime factorization calculator free?
Yes. Prime factorization calculator on Toolipedia is free to use, with no sign-up and no watermark.
Is it safe to use?
Yes. Everything is worked out in your browser, and nothing you enter is sent to our server.
Does it work on my phone?
Yes. It works in any modern browser on Android and iPhone, as well as on tablets and computers. There's nothing to install.
Do I need an account?
No. Just open the page and use the tool. There's no sign-up and no email needed.
Can I put Prime factorization calculator on my own website?
Yes. Use the Embed on your site button under the tool to copy a short piece of code and paste it into your page. It is free, needs no account, and the tool keeps working inside your page.