Perhaps the full question you are trying to ask is "Kara partitions 16 dimes into equal groups in 3 different ways. She puts more than one dime in each group, and there are 2 or more groups for each way."
In which case the equal groups would be as follows:
8 groups of 2 dimes
4 groups of 4 dimes
2 groups of 8 dimes
These are all factors of 16, other than 16x1 because that wouldn't fit the parameters of this question.