Prime vs Composite: Fun with Factors and Multiples!

1. Sarah has 12 apples and wants to share them equally among her friends. How many friends can she share with if each friend gets a prime number of apples?

• 3 friends

• 7 friends

• 4 or 6 friends

• 5 friends

2. A gardener is planting flowers in rows. If he has 18 flowers and wants to plant them in rows of a composite number of flowers, what are some possible row arrangements?

• 12

• 6, 9

• 15

• 4

3. Tom has 30 marbles. He wants to divide them into bags with a prime number of marbles in each bag. What are the possible prime numbers of marbles he can use?

• 4

• 6

• 8

• [2, 3, 5]

4. A school is organizing a field trip for 24 students. They want to group them into teams with a composite number of students in each team. What are the possible team sizes?

• [4, 6, 8, 12, 24]

• 10

• 5

• 2

5. Emily is making gift bags with 20 candies. If she wants to put a prime number of candies in each bag, how many bags can she make?

• 1 bag with 20 candies

• 4 bags with 5 candies each

• 2 bags with 10 candies each or 5 bags with 4 candies each.

• 3 bags with 6 candies each

6. A box contains 36 chocolates. If a party planner wants to distribute them in groups of composite numbers, what are some possible group sizes?

• 2

• 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36

• 5

• 3

7. There are 42 books on a shelf. If a librarian wants to arrange them in rows with a prime number of books in each row, what are the possible arrangements?

• 5

• 11

• 4

• 2, 3, 7

8. A toy store has 50 toy cars. If they want to display them in groups of a composite number of cars, what are some possible group sizes?

• 15

• 30

• 5

• 4, 10, 25

9. A baker made 28 cookies. If she wants to pack them in boxes with a prime number of cookies in each box, how many boxes can she fill?

• 28 boxes with 1 cookie each

• 2 boxes with 14 cookies each

• 14 boxes with 2 cookies each or 4 boxes with 7 cookies each.

• 7 boxes with 4 cookies each

10. A farmer has 60 eggs and wants to pack them in cartons with a composite number of eggs in each carton. What are the possible carton sizes?

• [4, 6, 10, 12, 15, 20, 30, 60]

• 2

• 8

• 14