Prime factors of 22139
The prime factors are: 13, 13, 131
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 22139 divided by 13, 13, 131 gives no remainder. This means Prime number are numbers that can divide without remainder.
How to Calculate Prime Factorization of 22139?
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 \( (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, ...) \).
\(22139\div \color{red}{13} = 1703\)
\(1703\div \color{red}{13} = 131\)
\(131\div \color{red}{131} = 1\)
Factorize\( (22139) = \) \(13\times 13\times 131\)
Factor Tree of 22139
| 22139 | | |
| | | |
|  | | |
| 13 | | 1703 | |
| |  | |
| 13 | | 131 |
If you want to learn more about prime factorization, take a look at the Wikipedia page.