Prime factors of 9003

The prime factors are: 3, 3001
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 9003 divided by 3, 3001 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 9003?

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

\(9003\div \color{red}{3} = 3001\)
\(3001\div \color{red}{3001} = 1\)

Factorize\( (9003) = \) \(3\times 3001\)