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: 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
