Break any number into its prime factors with this calculator - see the complete prime factorization with exponents.
Prime Factorization Calculator
Table of Contents show ▼
What is prime factorization?
Prime factorization expresses a number as a product of prime numbers. Every integer greater than 1 has a unique prime factorization (the Fundamental Theorem of Arithmetic).
For example, 360 = 23 x 32 x 5. No matter how you factor 360, you always end up with three 2s, two 3s, and one 5.
Using the calculator
Enter a positive integer and the calculator shows:
- Prime factorization with exponents (e.g., 23 x 32 x 5)
- List of all prime factors including repeats
- Count of unique primes in the factorization
- Total prime factors counting multiplicity
Switch to All Factors mode to see every divisor of the number.
