Factors & Multiples: Fun Math Challenges for 4th Graders

1. Sarah has 12 apples. She wants to share them equally among her friends. What are the factors of 12 that show how many friends she can share with?

• 5

• 1, 2, 3, 4, 6, 12

• 8

• 7

2. A baker is making cookies in batches of 8. If he wants to make 40 cookies, how many batches does he need to make? What is a multiple of 8 that is equal to 40?

• 4 batches; 40 is a multiple of 8.

• 5 batches; 40 is a multiple of 8.

• 5 batches; 40 is not a multiple of 8.

• 6 batches; 40 is a multiple of 8.

3. Tom is organizing his toy cars. He can arrange them in groups of 5. What are the factors of 20 that show how many groups he can make?

• 3, 6, 8, 12

• 1, 2, 4, 5, 10, 20

• 7, 9, 11, 14

• 15, 18, 25, 30

4. A gardener plants flowers in rows of 6. If he has 30 flowers, how many rows can he plant? What is a multiple of 6 that equals 30?

• 6 rows

• 4 rows

• 3 rows

• 5 rows

5. Lisa is making gift bags. She can put 4 candies in each bag. If she has 28 candies, how many full bags can she make? What are the factors of 28?

• 7 full bags and the factors of 28 are [1, 2, 4, 7, 14, 28].

• 8 full bags and the factors of 28 are [1, 2, 4, 7, 14, 21]

• 6 full bags and the factors of 28 are [1, 2, 4, 7, 14]

• 5 full bags and the factors of 28 are [1, 2, 3, 4, 7, 14, 28]

6. A teacher has 24 pencils and wants to distribute them equally among students. What are the factors of 24 that show how many students can receive pencils?

• 5

• 7

• 1, 2, 3, 4, 6, 8, 12, 24

• 10

7. A movie theater has 36 seats in each row. If there are 5 rows, how many seats are there in total? What is a multiple of 36 that shows the total number of seats?

• 120

• 200

• 180

• 150

8. Mark is building a fence using 18 wooden planks. He wants to create equal sections. What are the factors of 18 that show how many sections he can create?

• 7

• 5

• 4

• 1, 2, 3, 6, 9, 18

10. Emma is arranging her books on a shelf. She can fit 10 books in each row. If she has 50 books, how many rows will she need? What are the factors of 50?

• 5 rows; Factors of 50: 1, 2, 5, 10, 25, 50

• 4 rows; Factors of 50: 1, 5, 10, 20, 25

• 6 rows; Factors of 50: 1, 2, 5, 10, 15, 50

• 5 rows; Factors of 50: 1, 3, 5, 10, 25, 50