Questions on Factor Pairs
Multiple choice questions on Factor Pairs for Grade 6, each with five alternatives (A–E). The problems use hypothetical data to simulate real-world scenarios. Answer explanations follow all the questions.
Factor Pairs - Grade 6 Math
Questions:
1. Sarah is arranging 24 chairs in rows with the same number of chairs in each row. Which of the following could be the number of rows?
A) 5
B) 6
C) 7
D) 8
E) 9
2. A farmer has 36 apples and wants to pack them in boxes with an equal number in each. Which of the following is not a possible number of apples per box?
A) 3
B) 4
C) 6
D) 7
E) 9
3. Michael is placing 18 cupcakes into trays. Each tray must hold the same number. Which factor pair of 18 would allow him to use 3 trays?
A) (1, 18)
B) (2, 9)
C) (3, 6)
D) (4, 5)
E) (6, 3)
4. A gardener wants to plant 30 flowers in rectangular plots. If each row has 5 flowers, how many rows will he need?
A) 3
B) 4
C) 5
D) 6
E) 7
5. A teacher has 40 stickers to give to students equally. Which of these numbers cannot be the number of students?
A) 1
B) 4
C) 5
D) 6
E) 8
6. Julia has 48 pencils and wants to divide them equally into containers. Which pair shows the possible number of containers and pencils per container?
A) (7, 6)
B) (6, 8)
C) (5, 9)
D) (4, 11)
E) (10, 5)
7. Which of the following is a correct factor pair of 20?
A) (2, 9)
B) (3, 7)
C) (4, 5)
D) (6, 4)
E) (5, 6)
8. A baker is packaging 12 cookies into boxes. Which is not a possible number of boxes or cookies per box?
A) (1, 12)
B) (2, 6)
C) (3, 4)
D) (5, 2)
E) (4, 3)
9. Find a pair of numbers whose product is 36 and both numbers are greater than 1.
A) (1, 36)
B) (2, 18)
C) (1, 12)
D) (36, 1)
E) (1, 6)
10. Which factor pair of 16 shows equal factors (a square)?
A) (2, 8)
B) (1, 16)
C) (4, 4)
D) (3, 5)
E) (2, 6)
11. Tom is building a rectangular pen using 28 wooden posts. Which of these is a factor pair of 28?
A) (4, 6)
B) (2, 14)
C) (3, 9)
D) (5, 7)
E) (6, 6)
12. Mia has 60 beads. Which of the following is not a factor pair of 60?
A) (5, 12)
B) (10, 6)
C) (3, 20)
D) (4, 15)
E) (7, 8)
13. Which of these numbers has exactly 3 factor pairs?
A) 12
B) 14
C) 15
D) 9
E) 8
14. A square tile is made up of 49 small tiles. What are the factor pairs of 49?
A) (1, 49), (7, 7)
B) (1, 49), (5, 9)
C) (1, 49), (3, 16)
D) (2, 24), (6, 8)
E) (7, 8), (1, 6)
15. A group of 36 students is forming rows with equal students per row. Which of the following is not a possible row configuration?
A) 2 rows of 18
B) 3 rows of 12
C) 4 rows of 9
D) 5 rows of 7
E) 6 rows of 6
16. Which number below has more than 4 factor pairs?
A) 18
B) 8
C) 12
D) 10
E) 7
17. A number has factor pairs: (1, 15), (3, 5). What is the number?
A) 30
B) 10
C) 15
D) 8
E) 12
18. If a number has the factor pairs (1, 18), (2, 9), and (3, 6), what is the number?
A) 9
B) 12
C) 15
D) 18
E) 24
19. How many distinct factor pairs does 24 have?
A) 3
B) 4
C) 5
D) 6
E) 7
20. What factor pair could represent the length and width of a rectangle with an area of 32 square meters?
A) (1, 32)
B) (2, 16)
C) (4, 8)
D) All of the above
E) None of the above
Answer Key & Explanations:
1. B) 6
→ Factor pairs of 24: (1,24), (2,12), (3,8), (4,6); so 6 is valid.
2. D) 7
→ 7 is not a factor of 36.
3. C) (3, 6)
→ 3 trays → 6 in each (3×6 = 18)
4. D) 6
→ 30 ÷ 5 = 6 rows
5. D) 6
→ 6 is not a factor of 40
6. B) (6, 8)
→ 6×8 = 48
7. C) (4, 5)
→ 4×5 = 20
8. D) (5, 2)
→ 5×2 = 10 ≠ 12
9. B) (2, 18)
→ Product = 36, both >1
10. C) (4, 4)
→ Perfect square: 4×4 = 16
11. B) (2, 14)
→ 2×14 = 28
12. E) (7, 8)
→ 7×8 = 56 ≠ 60
13. D) 9
→ Factor pairs: (1,9), (3,3)
14. A) (1, 49), (7, 7)
→ 49 = 7²
15. D) 5 rows of 7 = 35 ≠ 36
16. C) 12
→ Pairs: (1,12), (2,6), (3,4) = 6 factors (3 pairs)
17. C) 15
→ 1×15, 3×5
18. D) 18
→ All listed pairs multiply to 18
19. C) 5
→ Pairs: (1,24), (2,12), (3,8), (4,6) = 4 pairs + 1 repeated = 5 distinct pairs
20. D) All of the above
→ All pairs multiply to 32
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