Prime factors of 31522

The prime factors are: 2, 15761
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 31522 divided by 2, 15761 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 31522?

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

\(31522\div \color{red}{2} = 15761\)
\(15761\div \color{red}{15761} = 1\)

Factorize\( (31522) = \) \(2\times 15761\)