Prime factors of 10436

The prime factors are: 2, 2, 2609
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 10436 divided by 2, 2, 2609 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 10436?

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

\(10436\div \color{red}{2} = 5218\)
\(5218\div \color{red}{2} = 2609\)
\(2609\div \color{red}{2609} = 1\)

Factorize\( (10436) = \) \(2\times 2\times 2609\)

Factor Tree of 10436

10436
25218
22609
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: