Prime factors of 3001

3001 is a prime because the only ways of writing it as a product, 1 × 3001 or 3001 × 1, therefore the prime factor is: 3001
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 3001 divided by 3001 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 3001?

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

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

Factorize\( (3001) = \) \(3001\)

If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: