Find the prime factorization of any number, check if it is prime, and list all its factors.
| Is Prime? | |
| Prime Factorization | |
| All Factors |
This tool breaks a number down into its prime factors — the prime numbers that multiply together to produce the original number. Useful for simplifying fractions, finding GCD/LCM by hand, or checking factorization homework.
Example: 360 factors into 2³ × 3² × 5 — enter any whole number above to see its full prime breakdown.
Prime factorization breaks a number down into the prime numbers that multiply together to produce it. Every whole number greater than 1 has a unique prime factorization.
Prime factorization breaks a number down into the prime numbers that multiply together to produce it.
Yes — this is a mathematical guarantee known as the Fundamental Theorem of Arithmetic. Every integer greater than 1 has exactly one prime factorization, regardless of the order the factors are found in.
Yes — enter any number and the calculator tells you immediately whether it's prime, along with its full factorization if it isn't.
Yes — alongside the prime factorization, it lists every factor (divisor) of the number, not just the prime ones.
You can enter any whole number greater than 1 to find its prime factorization and list of factors.