Prime factorization calculator

Break a number into its prime factors, check whether it is prime, and list all its divisors.

Up to 9,007,199,254,740,991.

Divisors

How it’s worked out

Divide by primes in turn

Questions people ask

What is prime factorization?

Writing a number as a product of prime numbers. Every whole number above 1 has exactly one prime factorization: 360 = 2³ × 3² × 5.

How is the number of divisors found?

Add 1 to each exponent and multiply. 360 = 2³ × 3² × 5¹ has (3+1)(2+1)(1+1) = 24 divisors.