Prime factors of 31823

The prime factors are: 11, 11, 263
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 31823 divided by 11, 11, 263 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 31823?

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

\(31823\div \color{red}{11} = 2893\)
\(2893\div \color{red}{11} = 263\)
\(263\div \color{red}{263} = 1\)

Factorize\( (31823) = \) \(11\times 11\times 263\)