Prime factors of 16204

The prime factors are: 2, 2, 4051
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 16204 divided by 2, 2, 4051 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 16204?

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

\(16204\div \color{red}{2} = 8102\)
\(8102\div \color{red}{2} = 4051\)
\(4051\div \color{red}{4051} = 1\)

Factorize\( (16204) = \) \(2\times 2\times 4051\)

Factor Tree of 16204

16204
28102
24051
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: