Prime factors of 1033
1033 is a prime because the only ways of writing it as a product, 1 × 1033 or 1033 × 1, therefore the prime factor is: 1033
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 1033 divided by 1033 gives no remainder. This means Prime number are numbers that can divide without remainder.
How to Calculate Prime Factorization of 1033?
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 \( (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, ...) \).
\(1033\div \color{red}{1033} = 1\)
Factorize\( (1033) = \) \(1033\)
If you want to learn more about prime factorization, take a look at the Wikipedia page.