To simplify the expression \( 16 \frac{1}{4} \) (which represents a mixed number), we can start by converting it to an improper fraction.
- Convert the mixed number to an improper fraction: \[ 16 \frac{1}{4} = 16 + \frac{1}{4} = \frac{16 \times 4}{4} + \frac{1}{4} = \frac{64}{4} + \frac{1}{4} = \frac{64 + 1}{4} = \frac{65}{4}. \]
Now, if you're asking about factors of the base (the integer part 16) that might help in simplification, we look at the number 16:
- Factors of 16: The factors of 16 are: 1, 2, 4, 8, and 16.
When simplifying fractions, knowing the factors can help when you need to reduce them, but in this case, \( \frac{65}{4} \) is already in its simplest form because 65 and 4 do not have any common factors (other than 1).
To summarize, converting \( 16 \frac{1}{4} \) to an improper fraction gives you \( \frac{65}{4} \), and there aren't any further simplifications possible in this case.