Prime factors of 13194

The prime factors are: 2, 3, 3, 733
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 13194 divided by 2, 3, 3, 733 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 13194?

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

\(13194\div \color{red}{2} = 6597\)
\(6597\div \color{red}{3} = 2199\)
\(2199\div \color{red}{3} = 733\)
\(733\div \color{red}{733} = 1\)

Factorize\( (13194) = \) \(2\times 3\times 3\times 733\)