About prime factorization
This tool breaks a whole number into its prime factors — the primes that multiply together to make it. It shows the factors written out and in compact exponent form (e.g. 360 = 2³ × 3² × 5). Every integer greater than 1 has exactly one prime factorization. It runs in your browser.
How Prime Factorization works
How to use it
- Enter a whole number greater than 1.
- Read the prime factors and exponent form.
How it works
The tool divides the number by the smallest prime that fits, repeatedly, until only 1 remains, collecting each prime as it goes. Repeated primes are grouped into powers for the exponent form.
Common uses
- Find the prime factors of a number
- Simplify fractions
- Find the GCD or LCM
- Check if a number is prime
- Help with maths homework
- Build a factor tree
- Understand a number structure
- Teach prime factorization
Frequently asked questions
What is prime factorization?
Writing a number as a product of prime numbers.
Is the factorization unique?
Yes — every integer above 1 has one prime factorization.
What if the number is prime?
The tool tells you it is prime.
Is my input uploaded?
No — it runs in your browser.
How large a number can it handle?
Up to very large values, though huge numbers take longer.
What is exponent form?
Repeated primes written as powers, e.g. 2³.
Is it free?
Yes — completely free with no sign-up.