Prime factors of 55523

The prime factors are: 13, 4271
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 55523 divided by 13, 4271 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 55523?

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

\(55523\div \color{red}{13} = 4271\)
\(4271\div \color{red}{4271} = 1\)

Factorize\( (55523) = \) \(13\times 4271\)