# math assignment

**Question description**

an empty bookcase has 6 shelves, and each shelf can hold no more than 50 books. you want to arrange 60 books in the book case so that the same number of books is on each shelf used.

a. list the factors of 60

b. list the factors of 60 that represents the number of books that could be on each shelf.

c. how many different arrangements of books are possible?

d. what are the possible arrangements of the books?

e. which arrangements uses all of the shelves?

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