Questions on Prime Factorization
Multiple-choice questions on Prime Factorization for Grade 6, each with five alternatives (A–E) and based on real-world hypothetical situations. Each question includes a realistic context to engage students. The answer key with explanations follows all questions.
Prime Factorization – Grade 6 Math
Questions:
1. Liam has 12 boxes of pens, each with the same number of pens. He wants to find the prime factorization of the total number of pens. What is the prime factorization of 12?
A) 2 × 6
B) 3 × 4
C) 2 × 2 × 3
D) 2 × 3 × 3
E) 1 × 12
2. A baker made 18 muffins and wants to organize them in trays using prime factorization. What is the prime factorization of 18?
A) 2 × 3 × 3
B) 3 × 3 × 2
C) 2 × 9
D) 3 × 6
E) 3 × 3
3. Ava collected 30 seashells. She wants to find the prime numbers that multiply to 30. What is the correct prime factorization?
A) 5 × 6
B) 2 × 15
C) 2 × 3 × 5
D) 3 × 10
E) 6 × 5
4. A puzzle box has 36 small blocks. To find the prime factorization, which set is correct?
A) 6 × 6
B) 2 × 2 × 3 × 3
C) 3 × 12
D) 2 × 18
E) 4 × 9
5. A classroom has 48 crayons divided equally among students. Which is the correct prime factorization of 48?
A) 4 × 12
B) 3 × 16
C) 2 × 2 × 2 × 2 × 3
D) 2 × 3 × 8
E) 6 × 8
6. A gardener planted 20 rose bushes. What is the prime factorization of 20?
A) 2 × 2 × 5
B) 4 × 5
C) 2 × 10
D) 1 × 20
E) 2 × 5 × 5
7. A stack of 100 papers needs to be split using only prime numbers. What is the correct prime factorization?
A) 10 × 10
B) 2 × 5 × 10
C) 2 × 2 × 5 × 5
D) 4 × 25
E) 2 × 50
8. A student is working with 14 beads. What is the prime factorization of 14?
A) 2 × 7
B) 2 × 2 × 3
C) 7 × 7
D) 1 × 14
E) 3 × 5
9. A vending machine holds 60 snacks. Which is the correct prime factorization of 60?
A) 6 × 10
B) 2 × 2 × 3 × 5
C) 3 × 20
D) 2 × 30
E) 3 × 3 × 5
10. Emily read 16 pages in her book. What is the prime factorization of 16?
A) 4 × 4
B) 2 × 8
C) 2 × 2 × 2 × 2
D) 2 × 4 × 2
E) 8 × 2
11. A library has 50 books to arrange on shelves. What is the prime factorization of 50?
A) 5 × 10
B) 2 × 25
C) 2 × 5 × 5
D) 10 × 5
E) 1 × 50
12. A soccer team has 45 jerseys. Which is the correct prime factorization of 45?
A) 3 × 15
B) 5 × 9
C) 3 × 3 × 5
D) 2 × 5 × 3
E) 3 × 5 × 5
13. A box of 27 balls is arranged in equal rows. What is the prime factorization of 27?
A) 3 × 9
B) 3 × 3 × 3
C) 2 × 3 × 3
D) 2 × 9
E) 3 × 2 × 3
14. A bike race has 40 participants. What is the prime factorization of 40?
A) 5 × 8
B) 2 × 2 × 2 × 5
C) 2 × 20
D) 10 × 4
E) 2 × 5 × 4
15. A teacher wants to group 90 flashcards using prime numbers. What is the prime factorization of 90?
A) 2 × 3 × 3 × 5
B) 3 × 30
C) 2 × 45
D) 9 × 10
E) 3 × 3 × 10
16. A juice box contains 32 straws. What is its prime factorization?
A) 4 × 8
B) 2 × 2 × 2 × 2 × 2
C) 2 × 16
D) 2 × 2 × 4 × 2
E) 8 × 4
17. A farm has 75 chickens. Which is the correct prime factorization?
A) 5 × 15
B) 3 × 25
C) 3 × 5 × 5
D) 2 × 5 × 5
E) 3 × 5 × 3
18. There are 21 students in a class. What is the prime factorization of 21?
A) 3 × 7
B) 2 × 10
C) 4 × 7
D) 5 × 4
E) 3 × 3 × 3
19. A parcel contains 24 chocolate bars. What is the prime factorization of 24?
A) 2 × 2 × 2 × 3
B) 3 × 8
C) 4 × 6
D) 2 × 12
E) 2 × 3 × 3
20. A mural is made up of 72 tiles. Which is the correct prime factorization?
A) 8 × 9
B) 2 × 3 × 12
C) 2 × 2 × 2 × 3 × 3
D) 6 × 12
E) 3 × 4 × 6
Answer Key with Explanations:
1. C) 2 × 2 × 3
→ Prime factorization of 12: 2 × 2 × 3
2. A) 2 × 3 × 3
→ 18 = 2 × 3 × 3
3. C) 2 × 3 × 5
→ 30 = 2 × 3 × 5
4. B) 2 × 2 × 3 × 3
→ 36 = 2² × 3²
5. C) 2 × 2 × 2 × 2 × 3
→ 48 = 2⁴ × 3
6. A) 2 × 2 × 5
→ 20 = 2² × 5
7. C) 2 × 2 × 5 × 5
→ 100 = 2² × 5²
8. A) 2 × 7
→ 14 = 2 × 7
9. B) 2 × 2 × 3 × 5
→ 60 = 2² × 3 × 5
10. C) 2 × 2 × 2 × 2
→ 16 = 2⁴
11. C) 2 × 5 × 5
→ 50 = 2 × 5²
12. C) 3 × 3 × 5
→ 45 = 3² × 5
13. B) 3 × 3 × 3
→ 27 = 3³
14. B) 2 × 2 × 2 × 5
→ 40 = 2³ × 5
15. A) 2 × 3 × 3 × 5
→ 90 = 2 × 3² × 5
16. B) 2 × 2 × 2 × 2 × 2
→ 32 = 2⁵
17. C) 3 × 5 × 5
→ 75 = 3 × 5²
18. A) 3 × 7
→ 21 = 3 × 7
19. A) 2 × 2 × 2 × 3
→ 24 = 2³ × 3
20. C) 2 × 2 × 2 × 3 × 3
→ 72 = 2³ × 3²
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