Prime factors of 31651

The prime factors are: 31, 1021
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 31651 divided by 31, 1021 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 31651?

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

\(31651\div \color{red}{31} = 1021\)
\(1021\div \color{red}{1021} = 1\)

Factorize\( (31651) = \) \(31\times 1021\)