Prime Factorization of 1,225 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 1,225 with a Factor Tree

Prime Factorization of 1,225: 1,225 = 5 x 5 x 7 x 7
Prime Factorization of 1,225 in Exponential Form: 1,225 = 5² x 7²
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.