Prime Factorization Calculator


This calculator will find all of the prime factors of a given number. Prime factorization or integer factorization of a number is the calculation of the set of prime numbers which multiply together give the original integer. It is also known as prime decomposition.

The number 1 (one) is called a unit. It has no prime factors. When number is a prime number (ie. 2,3,5,7, 11...), the prime factorization is just itself prime number. Another numbers are called composite numbers and have minimum two prime factors.

Examples:

27 = 3 × 3 × 3
198 = 2 × 32 × 11
1024 = 210
19823 = 43 × 461
30258037 = 30258037