Prime factors of 4497

The prime factors are: 3, 1499
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 4497 divided by 3, 1499 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 4497?

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

\(4497\div \color{red}{3} = 1499\)
\(1499\div \color{red}{1499} = 1\)

Factorize\( (4497) = \) \(3\times 1499\)

Factor Tree of 4497

4497
31499
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: