Prime Factorization Calculator

Enter the number for which you want to calculate prime factorization.

How to Use
  • An integer between 1 and 10 quadrillion can be entered.
  • Prime Number Checker is available at this link.


What is prime factorization?

Prime factorization is the process of expressing an integer as a product of prime numbers.

For example, the prime factorization of 12 is as follows

\[ 12=2^{2}\times3 \]


Example

Example 1

Prime factorize 100.

Solution

Prime factorizing 100 yields the following

\[ 100=2^{2}\times5^{2} \]


Example 2

Prime factorize 120.

Solution

Prime factorizing 120 yields the following

\[ 120=2^{3}\times3\times5 \]