Prime factors of 10984

The prime factors are: 2, 2, 2, 1373
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 10984 divided by 2, 2, 2, 1373 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 10984?

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

\(10984\div \color{red}{2} = 5492\)
\(5492\div \color{red}{2} = 2746\)
\(2746\div \color{red}{2} = 1373\)
\(1373\div \color{red}{1373} = 1\)

Factorize\( (10984) = \) \(2\times 2\times 2\times 1373\)

Factor Tree of 10984

10984
25492
22746
21373
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: