Prime factors of 6058

The prime factors are: 2, 13, 233
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 6058 divided by 2, 13, 233 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 6058?

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

\(6058\div \color{red}{2} = 3029\)
\(3029\div \color{red}{13} = 233\)
\(233\div \color{red}{233} = 1\)

Factorize\( (6058) = \) \(2\times 13\times 233\)

Factor Tree of 6058

6058
23029
13233
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: