Prime factors of 13438

The prime factors are: 2, 6719
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 13438 divided by 2, 6719 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 13438?

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

\(13438\div \color{red}{2} = 6719\)
\(6719\div \color{red}{6719} = 1\)

Factorize\( (13438) = \) \(2\times 6719\)

Factor Tree of 13438

13438
26719
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: