Divisibility Word Problems: Can You Solve Them?

A bakery has 120 cookies. If they want to pack them into boxes of 6, how many boxes can they fill? Explain how you know 120 is divisible by 6.

• 15

• 20

• 18

• 22

Sarah has 45 marbles. She wants to share them equally among her friends. If she has 5 friends, can she do this? Why or why not?

• No, she needs at least 10 friends to share.

• Yes, she can share them equally.

• No, she can only share them with 4 friends.

• Yes, but she will have leftover marbles.

A farmer has 84 apples. He wants to put them into baskets of 7. How many baskets will he need? What rule helps you determine if 84 is divisible by 7?

• 10

• 8

• 14

• 12

Tom has 36 toy cars. He wants to arrange them in rows of 4. How many rows can he make? Explain your reasoning using divisibility rules.

• 10

• 8

• 9

• 7

In a classroom, there are 56 students. If the teacher wants to divide them into groups of 8, how many groups will there be? What divisibility rule did you use?

• 6

• 9

• 8

• 7

A library has 90 books. If they want to place them on shelves with 10 books each, how many shelves will they need? Describe how you know 90 is divisible by 10.

• 10

• 8

• 9

• 7

Lily has 72 stickers. She wants to give them to her 9 friends equally. How many stickers will each friend get? What does this tell you about the divisibility of 72 by 9?

• Each friend will get 10 stickers.

• Each friend will get 6 stickers.

• Each friend will get 5 stickers.

• Each friend will get 8 stickers.

A concert hall has 150 seats. If they want to arrange the seats in rows of 5, how many rows will there be? Explain your reasoning about the divisibility of 150 by 5.

• 25

• 40

• 30

• 35

There are 64 students in a school. If they want to form teams of 8 for a game, how many teams can they form? What rule helps you check if 64 is divisible by 8?

• 10 teams

• 6 teams

• 4 teams

• 8 teams

A toy store has 96 action figures. If they want to display them in groups of 12, how many groups can they create? Explain how you determined that 96 is divisible by 12.

• 10

• 12

• 8

• 6