Prime Factorization Calculator
Break any number down into its prime factors and see the factor tree with this free prime factorization calculator in your browser.
Enter Values
Minimum 2
How to use this calculator
- Enter a whole number of 2 or more.
- Read its prime factors and the exponent form.
How it works
The number is divided by the smallest possible primes repeatedly until only 1 remains — those divisors are the prime factorization.
Worked example
360. = 2 × 2 × 2 × 3 × 3 × 5 = 2³ × 3² × 5.
Common mistakes
- Stopping at any factors — keep going until every factor is prime (e.g. 4 = 2 × 2).
- Forgetting 1 isn't prime and isn't listed as a factor.
Frequently asked questions
What is prime factorization?
Breaking a number into the primes that multiply to make it: 60 = 2² × 3 × 5.
What is it used for?
Finding greatest common divisors and lowest common multiples, simplifying fractions, and in cryptography.
What's exponent form?
Repeated primes written as powers — 360 = 2³ × 3² × 5 instead of 2 × 2 × 2 × 3 × 3 × 5.
Related tools
- GCD & LCM Calculator
- Factorial Calculator
- Prime Number Checker
- Scientific Notation Converter
- Cube Root Calculator
- Number Base Converter
Explore more in Maths, Education & Science.
Cite this tool
Zerdly. (2026). Prime Factorization Calculator. Retrieved from https://www.zerdly.com/tools/prime-factorization-calculator/
Tip: Enter any known values to calculate the remaining results.
All calculations run in your browser. Your inputs are never saved or transmitted.