Prime factors of 10572

The prime factors are: 2, 2, 3, 881
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 10572 divided by 2, 2, 3, 881 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 10572?

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

\(10572\div \color{red}{2} = 5286\)
\(5286\div \color{red}{2} = 2643\)
\(2643\div \color{red}{3} = 881\)
\(881\div \color{red}{881} = 1\)

Factorize\( (10572) = \) \(2\times 2\times 3\times 881\)

Factor Tree of 10572

10572
25286
22643
3881
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: