Teresa is organizing her closet. She wants to place all of her 15 pairs of shoes on shelves. If she wants to have the same number of pairs on each shelf, how many choices for the number of shelves does she have?

Question

anonymous · Answer

the answers r  1 4 5 and 15

anonymous · Answer

no i tried to figur it out by my self but it said i got it wrong so i want to know how to do it

danjs · Answer

She can have 1 pair on each of 15 shelves
She can have 3 pair on each of 5 shelves
she can have 5 pair on each of 3 shelves
she can have 15 pair on each of 1 shelves

any other combinations?

danjs · Answer

Cant have 4 on each shelf, 15 does not divide into groups of 4 evenly

danjs · Answer

can not have 2 shelves, that would mean 15.5 pairs per shelf.

danjs · Answer

Total Shoes = #Shelves x #Pairs
15 = 5 x 3
15 = 3 x 5
15 = 1 x 15
15 = 15 x 1

danjs · Answer

No other factors of 15