Prime factors of 17607

The prime factors are: 3, 5869
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 17607 divided by 3, 5869 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 17607?

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

\(17607\div \color{red}{3} = 5869\)
\(5869\div \color{red}{5869} = 1\)

Factorize\( (17607) = \) \(3\times 5869\)