Prime factors of 13635

The prime factors are: 3, 3, 3, 5, 101
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 13635 divided by 3, 3, 3, 5, 101 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 13635?

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 \( (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, ...) \).

\(13635\div \color{red}{3} = 4545\)
\(4545\div \color{red}{3} = 1515\)
\(1515\div \color{red}{3} = 505\)
\(505\div \color{red}{5} = 101\)
\(101\div \color{red}{101} = 1\)

Factorize\( (13635) = \) \(3\times 3\times 3\times 5\times 101\)