Prime factors of 523
523 is a prime because the only ways of writing it as a product, 1 × 523 or 523 × 1, therefore the prime factor is: 523
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 523 divided by 523 gives no remainder. This means Prime number are numbers that can divide without remainder.
How to Calculate Prime Factorization of 523?
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 \( (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, ...) \).
\(523\div \color{red}{523} = 1\)
Factorize\( (523) = \) \(523\)
If you want to learn more about prime factorization, take a look at the Wikipedia page.
