# 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.

 Enter Positive Integer n = 120
Solution

## More References and Links

Prime Factorization
Square Root
factors and multiples.