\(\frac{16}{\frac{1}{4}}=64\). In factor form, \(64=2^6\)
\(\frac{16}{\frac{1}{4}}\)
This is the original expression given, or, at least, this was my interpretation. If it is wrong, please correct me. Dividing a number by a fraction is the same as multiplying a number by that fraction's reciprocal:
\(\frac{16}{\frac{1}{4}}=16*\frac{4}{1}=64\)
You said that you wanted your answer in factor form. Continue creating a tree of factors until you get down to prime numbers:
64
/\
8 * 8
/\ /\
2 * 4 4 * 2
/\ /\
2*2 2*2
Combine the bolded numbers, and you are done! There are 6 2's.
\(2*2*2*2*2*2=2^6\)
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