Prime factors of 2290

The prime factors are: 2, 5, 229
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 2290 divided by 2, 5, 229 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 2290?

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

\(2290\div \color{red}{2} = 1145\)
\(1145\div \color{red}{5} = 229\)
\(229\div \color{red}{229} = 1\)

Factorize\( (2290) = \) \(2\times 5\times 229\)

Factor Tree of 2290

2290
21145
5229
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: