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 =
Solution



More References and Links

Prime Factorization
Square Root
factors and multiples .