Prime factors of 829
829 is a prime because the only ways of writing it as a product, 1 × 829 or 829 × 1, therefore the prime factor is: 829
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 829 divided by 829 gives no remainder. This means Prime number are numbers that can divide without remainder.
How to Calculate Prime Factorization of 829?
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 \( (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, ...) \).
\(829\div \color{red}{829} = 1\)
Factorize\( (829) = \) \(829\)
If you want to learn more about prime factorization, take a look at the Wikipedia page.
