Prime factors of 22209

The prime factors are: 3, 11, 673
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 22209 divided by 3, 11, 673 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 22209?

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

\(22209\div \color{red}{3} = 7403\)
\(7403\div \color{red}{11} = 673\)
\(673\div \color{red}{673} = 1\)

Factorize\( (22209) = \) \(3\times 11\times 673\)