Prime factors of 11182

The prime factors are: 2, 5591
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 11182 divided by 2, 5591 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 11182?

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 \( (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, ...) \).

\(11182\div \color{red}{2} = 5591\)
\(5591\div \color{red}{5591} = 1\)

Factorize\( (11182) = \) \(2\times 5591\)

Factor Tree of 11182

11182
25591
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: