Prime factors of 13722

The prime factors are: 2, 3, 2287
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 13722 divided by 2, 3, 2287 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 13722?

The main method of prime factorization is start dividing the number by the any divisible prime numbers until the only numbers left are prime numbers \( (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, ...) \).

\(13722\div \color{red}{2} = 6861\)
\(6861\div \color{red}{3} = 2287\)
\(2287\div \color{red}{2287} = 1\)

Factorize\( (13722) = \) \(2\times 3\times 2287\)