Prime factors of 10236

The prime factors are: 2, 2, 3, 853
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 10236 divided by 2, 2, 3, 853 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 10236?

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

\(10236\div \color{red}{2} = 5118\)
\(5118\div \color{red}{2} = 2559\)
\(2559\div \color{red}{3} = 853\)
\(853\div \color{red}{853} = 1\)

Factorize\( (10236) = \) \(2\times 2\times 3\times 853\)

Factor Tree of 10236

10236
25118
22559
3853
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: