# Prime Factors Calculator

An online calculator to factor positive integers into prime factors.

## Unique Prime Factorisation Theorem

Any integer greater than zero is either a prime number or it can be represented as a product of prime numbers in a unique way.

Example

Write the prime factorization of n = 120.

Successive divisions of n by the prime numbers 2, 3, 5, 7, 11, 13, ...gives

\( \dfrac{120}{\color{red}2} = 60 \)

\( \dfrac{60}{\color{red}2} = 30 \)

\( \dfrac{30}{\color{red}2} = 15 \)

\( \dfrac{15}{\color{red}{3}} = 5 \)

\(\dfrac{5}{\color{red}{5}} = 1 \)

Hence the prime factorization of \( 120 \) is

\( 120 = 2 \times 2 \times 2 \times 3 \times 5 \)

Hence \( 120 = 2^3 \times 3 \times 5 \)

## Use the calculator to Prime Factor a Number

1 - Enter a positive integer n and press "Factor". The steps in simplifying the square root are listed below.

__Solution__

## More References and Links

Prime FactorizationSquare Root

factors and multiples .