Prime Factorization of 3,825 with a Factor Tree

Factor Tree building procedure:

Divide the given composite number by its smallest prime factor
If the resulting quotient is a composite number, divide it by its smallest prime factor
Repeat until resulting quotient is a prime number

Prime Factorization of 3,825 with a Factor Tree

Prime Factorization of 3,825: 3,825 = 3 x 3 x 5 x 5 x 17
Prime Factorization of 3,825 in Exponential Form: 3,825 = 3² x 5² x 17
Note: While the Prime Factorization of a Composite Number is unique, corresponding Factor Trees will differ if a different procedure is used

The solution above and other related solutions were provided by the Prime Factorization with a Factor Tree Application.