Prime factors of 4038

The prime factors are: 2, 3, 673
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 4038 divided by 2, 3, 673 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 4038?

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

\(4038\div \color{red}{2} = 2019\)
\(2019\div \color{red}{3} = 673\)
\(673\div \color{red}{673} = 1\)

Factorize\( (4038) = \) \(2\times 3\times 673\)