Prime factors of 3000

The prime factors are: 2, 2, 2, 3, 5, 5, 5
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 3000 divided by 2, 2, 2, 3, 5, 5, 5 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 3000?

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

\(3000\div \color{red}{2} = 1500\)
\(1500\div \color{red}{2} = 750\)
\(750\div \color{red}{2} = 375\)
\(375\div \color{red}{3} = 125\)
\(125\div \color{red}{5} = 25\)
\(25\div \color{red}{5} = 5\)
\(5\div \color{red}{5} = 1\)

Factorize\( (3000) = \) \(2\times 2\times 2\times 3\times 5\times 5\times 5\)