Prime factors of 1009
1009 is a prime because the only ways of writing it as a product, 1 × 1009 or 1009 × 1, therefore the prime factor is: 1009
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 1009 divided by 1009 gives no remainder. This means Prime number are numbers that can divide without remainder.
How to Calculate Prime Factorization of 1009?
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 \( (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, ...) \).
\(1009\div \color{red}{1009} = 1\)
Factorize\( (1009) = \) \(1009\)
If you want to learn more about prime factorization, take a look at the Wikipedia page.
