Prime Factorization
Factor a positive integer into its prime factors and view the result in both expanded and exponent form.
Enter an integer greater than 1. This tool returns the prime factorization of n.
Result will appear here.
| Metric | Value |
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Privacy: calculations run locally in your browser. No values are stored or transmitted.
How it works
This tool repeatedly divides the input by the smallest possible prime factor until the remaining value is 1.
Examples
- 72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3²
- 97 is prime, so its factorization is just 97
- 360 = 2³ × 3² × 5
FAQ
- What is prime factorization?
Prime factorization expresses an integer greater than 1 as a product of prime numbers.
- Can 0 or 1 be factorized into primes?
No. Prime factorization is defined for integers greater than 1.
- Why do exponents appear in the result?
Repeated prime factors are grouped with exponents. For example, 72 = 2^3 × 3^2.
- Are calculations stored?
No. Everything runs locally in your browser.