Prime factors of 1179
The prime factors are: 3, 3, 131
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 1179 divided by 3, 3, 131 gives no remainder. This means Prime number are numbers that can divide without remainder.
How to Calculate Prime Factorization of 1179?
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 \( (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, ...) \).
\(1179\div \color{red}{3} = 393\)
\(393\div \color{red}{3} = 131\)
\(131\div \color{red}{131} = 1\)
Factorize\( (1179) = \) \(3\times 3\times 131\)
Factor Tree of 1179
| 1179 | | |
| | | |
|  | | |
| 3 | | 393 | |
| | | |
| 3 | | 131 |
If you want to learn more about prime factorization, take a look at the Wikipedia page.
