Prime factors of 10023

The prime factors are: 3, 13, 257
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 10023 divided by 3, 13, 257 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 10023?

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

\(10023\div \color{red}{3} = 3341\)
\(3341\div \color{red}{13} = 257\)
\(257\div \color{red}{257} = 1\)

Factorize\( (10023) = \) \(3\times 13\times 257\)