Prime factors of 5836
The prime factors are: 2, 2, 1459
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 5836 divided by 2, 2, 1459 gives no remainder. This means Prime number are numbers that can divide without remainder.
How to Calculate Prime Factorization of 5836?
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 \( (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, ...) \).
\(5836\div \color{red}{2} = 2918\)
\(2918\div \color{red}{2} = 1459\)
\(1459\div \color{red}{1459} = 1\)
Factorize\( (5836) = \) \(2\times 2\times 1459\)
Factor Tree of 5836
| 5836 | | |
| | | |
| | | |
2 | | 2918 | |
| | | |
| 2 | | 1459 |
If you want to learn more about prime factorization, take a look at the Wikipedia page.