Prime factors of 55124

The prime factors are: 2, 2, 13781
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 55124 divided by 2, 2, 13781 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 55124?

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

\(55124\div \color{red}{2} = 27562\)
\(27562\div \color{red}{2} = 13781\)
\(13781\div \color{red}{13781} = 1\)

Factorize\( (55124) = \) \(2\times 2\times 13781\)

Factor Tree of 55124

55124
227562
213781
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: