Sara wants to arrange 40 books on her bookshelves in equal groups. How many ways can she do this?
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Answer:
She can have 1 group of 40, 2 groups 0f 20, 4 groups of 10, 8 groups of 5, 5 groups of 8 10 groups of 4, 20 groups of 2 or 40 groups of 1. This assumes that you don't want any partial books in any of your groups.
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