Prime factors of 1409
1409 is a prime because the only ways of writing it as a product, 1 × 1409 or 1409 × 1, therefore the prime factor is: 1409
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 1409 divided by 1409 gives no remainder. This means Prime number are numbers that can divide without remainder.
How to Calculate Prime Factorization of 1409?
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 \( (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, ...) \).
\(1409\div \color{red}{1409} = 1\)
Factorize\( (1409) = \) \(1409\)
If you want to learn more about prime factorization, take a look at the Wikipedia page.