Prime factors of 19165

The prime factors are: 5, 3833
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 19165 divided by 5, 3833 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 19165?

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

\(19165\div \color{red}{5} = 3833\)
\(3833\div \color{red}{3833} = 1\)

Factorize\( (19165) = \) \(5\times 3833\)