Prime factors of 3436

The prime factors are: 2, 2, 859
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 3436 divided by 2, 2, 859 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 3436?

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

\(3436\div \color{red}{2} = 1718\)
\(1718\div \color{red}{2} = 859\)
\(859\div \color{red}{859} = 1\)

Factorize\( (3436) = \) \(2\times 2\times 859\)

Factor Tree of 3436

3436
21718
2859
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: