Prime factors of 13868

The prime factors are: 2, 2, 3467
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 13868 divided by 2, 2, 3467 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 13868?

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

\(13868\div \color{red}{2} = 6934\)
\(6934\div \color{red}{2} = 3467\)
\(3467\div \color{red}{3467} = 1\)

Factorize\( (13868) = \) \(2\times 2\times 3467\)

Factor Tree of 13868

13868
26934
23467
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: