How to use Prime Factorization Calculator
- Enter a positive whole number within the supported range.
- Run the factorization.
- Read the distinct prime factors and their exponents.
- Check that their product equals your input.
Example: Prime Factorization Calculator
Factor a number with repeated primes.
You add
Integer: 360.
You get
The factors are 2^3 × 3^2 × 5, and their product is 360.
Supported inputs and limits
Positive integers from 1 to 999,999,999,999. BigInt arithmetic keeps the integer factors exact. Trial division is bounded and periodically yields so cancellation can be checked; visitor devices vary in speed. The number 1 has no prime factors. Negative, fractional and scientific-notation inputs are refused.
Where your input is processed
This tool processes your input in this browser. Your text and files are not uploaded to UseFreeTools. Check this tool's limits for anything it may save on your device.
Questions about Prime Factorization Calculator
Is 1 prime?
No. Its factorization has no prime factors, and the tool states that explicitly.
Can I enter a decimal or negative value?
No. This page factors positive whole numbers only. Use the ordinary decimal integer spelling within its bound.
Why can a large prime take longer?
Trial division checks possible divisors up to the remaining square root. Large values with no small factor require more checks.