Prime factors of 13556
The prime factors are: 2, 2, 3389
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 13556 divided by 2, 2, 3389 gives no remainder. This means Prime number are numbers that can divide without remainder.
How to Calculate Prime Factorization of 13556?
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 \( (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, ...) \).
\(13556\div \color{red}{2} = 6778\)
\(6778\div \color{red}{2} = 3389\)
\(3389\div \color{red}{3389} = 1\)
Factorize\( (13556) = \) \(2\times 2\times 3389\)
Factor Tree of 13556
| 13556 | | |
| | | |
|  | | |
| 2 | | 6778 | |
| |  | |
| 2 | | 3389 |
If you want to learn more about prime factorization, take a look at the Wikipedia page.