Prime factors of 5610

The prime factors are: 2, 3, 5, 11, 17
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 5610 divided by 2, 3, 5, 11, 17 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 5610?

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

\(5610\div \color{red}{2} = 2805\)
\(2805\div \color{red}{3} = 935\)
\(935\div \color{red}{5} = 187\)
\(187\div \color{red}{11} = 17\)
\(17\div \color{red}{17} = 1\)

Factorize\( (5610) = \) \(2\times 3\times 5\times 11\times 17\)

Factor Tree of 5610

5610
22805
3935
5187
1117
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: