Prime factors of 1816

The prime factors are: 2, 2, 2, 227
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 1816 divided by 2, 2, 2, 227 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 1816?

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

\(1816\div \color{red}{2} = 908\)
\(908\div \color{red}{2} = 454\)
\(454\div \color{red}{2} = 227\)
\(227\div \color{red}{227} = 1\)

Factorize\( (1816) = \) \(2\times 2\times 2\times 227\)

Factor Tree of 1816

1816
2908
2454
2227
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: