Prime factors of 3670
The prime factors are: 2, 5, 367
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 3670 divided by 2, 5, 367 gives no remainder. This means Prime number are numbers that can divide without remainder.
How to Calculate Prime Factorization of 3670?
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 \( (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, ...) \).
\(3670\div \color{red}{2} = 1835\)
\(1835\div \color{red}{5} = 367\)
\(367\div \color{red}{367} = 1\)
Factorize\( (3670) = \) \(2\times 5\times 367\)
Factor Tree of 3670
| 3670 | | |
| | | |
|  | | |
| 2 | | 1835 | |
| |  | |
| 5 | | 367 |
If you want to learn more about prime factorization, take a look at the Wikipedia page.