Factors & Prime Factorization Calculator
Find all factors and prime factorization of any number instantly.
Formula
Prime factorization breaks a number into prime number multiplication: 60 = 2² × 3 × 5Finding Factors
To find all factors of a number, test every integer from 1 up to the square root. If it divides evenly, both the divisor and the quotient are factors.
Prime Factorization
Start dividing by the smallest prime (2), continue until you can't, then try 3, 5, 7, and so on. The result is a unique set of prime factors.
Frequently Asked Questions
What is a factor?
A factor of a number divides it evenly with no remainder. For example, factors of 12 are: 1, 2, 3, 4, 6, 12.
What is prime factorization?
Breaking a number into a product of prime numbers. Every integer > 1 has a unique prime factorization.