Prime factors of 3356

The prime factors are: 2, 2, 839
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 3356 divided by 2, 2, 839 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 3356?

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

\(3356\div \color{red}{2} = 1678\)
\(1678\div \color{red}{2} = 839\)
\(839\div \color{red}{839} = 1\)

Factorize\( (3356) = \) \(2\times 2\times 839\)

Factor Tree of 3356

3356
21678
2839
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: