Prime factors of 22024

The prime factors are: 2, 2, 2, 2753
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 22024 divided by 2, 2, 2, 2753 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 22024?

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

\(22024\div \color{red}{2} = 11012\)
\(11012\div \color{red}{2} = 5506\)
\(5506\div \color{red}{2} = 2753\)
\(2753\div \color{red}{2753} = 1\)

Factorize\( (22024) = \) \(2\times 2\times 2\times 2753\)