Prime factors of 10028

The prime factors are: 2, 2, 23, 109
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 10028 divided by 2, 2, 23, 109 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 10028?

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

\(10028\div \color{red}{2} = 5014\)
\(5014\div \color{red}{2} = 2507\)
\(2507\div \color{red}{23} = 109\)
\(109\div \color{red}{109} = 1\)

Factorize\( (10028) = \) \(2\times 2\times 23\times 109\)

Factor Tree of 10028

10028
25014
22507
23109
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: