Prime Factorization
Break any number into its prime factors
100% private. Your files and inputs never leave your device — everything runs locally in your browser.
How to Use Prime Factorization
Break any number into its prime factors. No signup, no uploads, no watermarks.
- 1
Enter your numbers in the input fields.
- 2
Choose the calculation options or frequency.
- 3
The result updates instantly as you type.
- 4
Review the breakdown, chart, or schedule, and copy the answer.
Why choose Prime Factorization?
- No uploads — your files never leave your device.
- Free forever with no signup, no watermarks, and no limits.
- Works on any device with a modern browser — no installs.
- Fast, private, and built for getting the job done in seconds.
Frequently Asked Questions
What is prime factorization?▾
Prime factorization writes a number as a product of primes raised to powers, for example 360 = 2³ × 3² × 5. By the fundamental theorem of arithmetic this factorization is unique.
How does prime factorization help count divisors?▾
If n = p₁^e₁ × p₂^e₂ × …, the total number of positive divisors is (e₁ + 1) × (e₂ + 1) × … because each prime contributes e + 1 choices of exponent.
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