Prime factors of 24278
The prime factors are: 2, 61, 199
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 24278 divided by 2, 61, 199 gives no remainder. This means Prime number are numbers that can divide without remainder.
How to Calculate Prime Factorization of 24278?
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 \( (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, ...) \).
\(24278\div \color{red}{2} = 12139\)
\(12139\div \color{red}{61} = 199\)
\(199\div \color{red}{199} = 1\)
Factorize\( (24278) = \) \(2\times 61\times 199\)
Factor Tree of 24278
| 24278 | | |
| | | |
|  | | |
| 2 | | 12139 | |
| |  | |
| 61 | | 199 |
If you want to learn more about prime factorization, take a look at the Wikipedia page.