Prime factors of 4007

4007 is a prime because the only ways of writing it as a product, 1 × 4007 or 4007 × 1, therefore the prime factor is: 4007
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 4007 divided by 4007 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 4007?

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

\(4007\div \color{red}{4007} = 1\)

Factorize\( (4007) = \) \(4007\)

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