Prime factors of 10338

The prime factors are: 2, 3, 1723
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 10338 divided by 2, 3, 1723 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 10338?

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

\(10338\div \color{red}{2} = 5169\)
\(5169\div \color{red}{3} = 1723\)
\(1723\div \color{red}{1723} = 1\)

Factorize\( (10338) = \) \(2\times 3\times 1723\)