The simplest form of the number 1225, derived from its factor tree, involves breaking the number down into its prime factors. To start, we can express 1225 as a product of its factors. By using a factor tree, we find that:
- 1225 can be divided by 5, giving us 245.
- 245 can further be divided by 5, yielding 49.
- Lastly, 49 can be divided into 7 and 7.
Thus, the complete prime factorization of 1225 is:
5 × 5 × 7 × 7 or in exponential form 5² × 7².
Therefore, the simplest form of 1225 in terms of its prime factors is 5² × 7².