Prime factors of 8462

The prime factors are: 2, 4231
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 8462 divided by 2, 4231 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 8462?

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

\(8462\div \color{red}{2} = 4231\)
\(4231\div \color{red}{4231} = 1\)

Factorize\( (8462) = \) \(2\times 4231\)