Prime factors of 31024

The prime factors are: 2, 2, 2, 2, 7, 277
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 31024 divided by 2, 2, 2, 2, 7, 277 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 31024?

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

\(31024\div \color{red}{2} = 15512\)
\(15512\div \color{red}{2} = 7756\)
\(7756\div \color{red}{2} = 3878\)
\(3878\div \color{red}{2} = 1939\)
\(1939\div \color{red}{7} = 277\)
\(277\div \color{red}{277} = 1\)

Factorize\( (31024) = \) \(2\times 2\times 2\times 2\times 7\times 277\)