# Prime Factorization Calculator

## 27 = 3 × 3 × 3 = 33

Divisors of number 27

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 to 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 a number is a prime number (i.e., 2,3,5,7, 11...), the prime factorization is just a prime number. Other numbers are called composite numbers and have a minimum of two prime factors. To repeat, a prime number is a natural number that is divisible without a remainder by itself and by a unit, not by other natural numbers.

## Math problems:

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

## Word problems and examples involving prime numbers

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• Count of roots How many solutions has equation x. y = 7757 with two unknowns on the set of natural numbers?