Prime factors of 22529

The prime factors are: 13, 1733
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 22529 divided by 13, 1733 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 22529?

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

\(22529\div \color{red}{13} = 1733\)
\(1733\div \color{red}{1733} = 1\)

Factorize\( (22529) = \) \(13\times 1733\)