Finding Factors: Real-Life Sharing and Grouping Fun

A gardener has 24 flowers to plant in rows. If he wants to plant them in equal rows, what are the possible numbers of flowers he can plant in each row?

• 10

• 5

• 7

• 1, 2, 3, 4, 6, 8, 12, 24

Lily has 36 candies that she wants to share equally among her friends. If she has 6 friends, how many candies will each friend get? Can you find other ways to share the candies?

• Each friend gets 7 candies.

• Each friend gets 6 candies.

• Each friend gets 4 candies.

• Each friend gets 5 candies.

A box can hold 48 toys. If each toy takes up the same amount of space, what are the different ways to arrange the toys in the box?

• (1, 49)

• The different ways to arrange the toys are: (1, 48), (2, 24), (3, 16), (4, 12), (6, 8).

• (8, 6)

• (5, 10)

Tom is making gift bags with 30 cookies. If he wants to put the same number of cookies in each bag, what are the possible numbers of bags he can make?

• 4

• 7

• 12

• 1, 2, 3, 5, 6, 10, 15, 30

A school is organizing a field trip for 60 students. If they want to arrange them in groups of equal size, what are the possible group sizes?

• [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60]

• 8

• 9

• 7

Sarah has 45 stickers and wants to put them into albums. If each album can hold the same number of stickers, what are the different ways she can organize them?

• 2

• 4

• 1, 3, 5, 9, 15, 45

• 10

A farmer has 72 apples and wants to pack them into boxes. If each box can hold the same number of apples, what are the possible numbers of apples per box?

• 10

• 15

• 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

• 5

A library has 84 books that need to be placed on shelves. If each shelf can hold the same number of books, what are the different ways to arrange the books on the shelves?

• The different ways to arrange the books on the shelves are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.

• 15

• 10

• 5

A pizza shop sells 56 slices of pizza. If they want to pack them into boxes with the same number of slices, what are the possible box sizes?

• 3

• 5

• 10

• [1, 2, 4, 7, 8, 14, 28, 56]

A teacher has 90 pencils to distribute among her students. If she wants to give the same number of pencils to each student, what are the possible numbers of students she can distribute them to?

• 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

• 4

• 12

• 7