Prime factors of 10439

The prime factors are: 11, 13, 73
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 10439 divided by 11, 13, 73 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 10439?

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

\(10439\div \color{red}{11} = 949\)
\(949\div \color{red}{13} = 73\)
\(73\div \color{red}{73} = 1\)

Factorize\( (10439) = \) \(11\times 13\times 73\)

Factor Tree of 10439

10439
11949
1373
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: