Prime factors of 8257

The prime factors are: 23, 359
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 8257 divided by 23, 359 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 8257?

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

\(8257\div \color{red}{23} = 359\)
\(359\div \color{red}{359} = 1\)

Factorize\( (8257) = \) \(23\times 359\)