Prime factors of 1322

The prime factors are: 2, 661
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 1322 divided by 2, 661 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 1322?

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 \( (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, ...) \).

\(1322\div \color{red}{2} = 661\)
\(661\div \color{red}{661} = 1\)

Factorize\( (1322) = \) \(2\times 661\)

Factor Tree of 1322

1322
2661
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: