Prime factors of 58689

The prime factors are: 3, 3, 6521
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 58689 divided by 3, 3, 6521 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 58689?

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

\(58689\div \color{red}{3} = 19563\)
\(19563\div \color{red}{3} = 6521\)
\(6521\div \color{red}{6521} = 1\)

Factorize\( (58689) = \) \(3\times 3\times 6521\)