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Prime Factorization
Break a whole number into its prime factors and show them in exponent form.
Factor a number
Prime factors: —
Exponent form: —
Number of divisors: —
How to use the Prime Factorization
- Enter a whole number of two or more.
- Press Factorize to split it into prime factors.
- Read the factor list, the exponent form and the divisor count.
Features
- Full prime factor list for any number up to a trillion
- Compact exponent form such as 12 = 2^2 × 3
- Divisor count derived from the exponents
- Runs locally, no uploads
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Frequently Asked Questions
Common questions about the free online prime factorization.
Enter a whole number and press Factorize. The tool lists every prime factor and also shows
the compact exponent form.
It rewrites a number as a product of primes. For example 12 becomes 2 x 2 x 3, which is 2
squared multiplied by 3.
Grouping repeated factors as powers keeps long factorizations readable, so 360 is shown as
2^3 times 3^2 times 5.
Add one to each exponent and multiply the results. For 12 = 2^2 times 3 that is 3 times 2,
giving six divisors.
A prime factorizes to itself, so the tool shows a single factor and explains that the number
has no smaller divisors.
Numbers up to one trillion are factorized by trial division, which is fast enough to feel
instant in your browser.
Enter the positive value instead. Prime factorization is defined for whole numbers greater
than one, so signs are ignored.
No. Factorization happens locally in your browser and no value you enter is ever sent to a
server.
Last updated: October 10, 2026