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Primary 4 Mathematics Factors Multiples Quiz

Free P4 Maths Factors Multiples quiz, Exam version, with questions, answers, and syllabus-aligned practice for Singapore students.

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Primary 4 Mathematics From Real Exams Generated by DeepSeek V4 Flash Sample 02 Updated 2026-08-17

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Questions

Primary 4 Mathematics Quiz - Factors Multiples

Name: _________________________ Class: _________________________ Date: _________________________ Score: ________ / 40

Duration: 45 minutes Total Marks: 40

Instructions:

Answer all questions.
Show your working clearly for all questions.
Write your answers in the spaces provided.
You may use a calculator.

Section A: Multiple Choice Questions (5 questions × 2 marks = 10 marks)

Circle the correct answer for each question.

1. Which of the following is a factor of 36?

A) 5
B) 7
C) 9
D) 10

Answer: _______

2. Which of the following is a multiple of 8?

A) 12
B) 24
C) 30
D) 36

Answer: _______

3. What are all the factors of 18?

A) 1, 2, 3, 6, 9, 18
B) 1, 2, 3, 4, 6, 9, 18
C) 1, 2, 3, 6, 9, 12, 18
D) 1, 3, 6, 9, 18

Answer: _______

4. Which number is a common factor of 12 and 20?

A) 3
B) 4
C) 5
D) 6

Answer: _______

5. The first three multiples of 7 are:

A) 1, 7, 14
B) 7, 14, 21
C) 7, 14, 28
D) 14, 21, 28

Answer: _______

Section B: Short Answer Questions (10 questions × 2 marks = 20 marks)

Write your answer in the blank provided. Show your working in the space below the question.

6. List all the factors of 24.

Answer: _________________________

Working:

7. Is 5 a factor of 45? Explain your answer.

Answer: _________________________

Working:

8. Write down the first five multiples of 6.

Answer: _________________________

Working:

9. Find a common multiple of 3 and 4 that is less than 20.

Answer: _________________________

Working:

10. Circle the numbers that are multiples of 9: 18, 27, 35, 42, 54, 63

Answer: _________________________

Working:

11. What is the 7th multiple of 8?

Answer: _________________________

Working:

12. Is 72 a multiple of 9? Explain your answer.

Answer: _________________________

Working:

13. Find all the common factors of 16 and 24.

Answer: _________________________

Working:

14. A number is a factor of 30 and also a multiple of 3. What could the number be? Give one possible answer.

Answer: _________________________

Working:

15. What is the smallest number that is a multiple of both 5 and 6?

Answer: _________________________

Working:

Section C: Problem-Solving Questions (5 questions × 2 marks = 10 marks)

Show your working clearly. Write your final answer in the blank provided.

16. Mrs Tan has 48 stickers. She wants to give an equal number of stickers to each of her 6 students. Is 6 a factor of 48? Explain your answer.

Answer: _________________________

Working:

17. Tom is thinking of a number. It is a factor of 42 and a multiple of 7. What is the number?

Answer: _________________________

Working:

18. A baker bakes 36 cookies. He wants to pack them into boxes of 4 or boxes of 6 without any leftover cookies. Is 4 a factor of 36? Is 6 a factor of 36? Explain.

Answer: _________________________

Working:

19. Lily is arranging chairs. She has 20 chairs. She wants to arrange them in rows with the same number of chairs in each row. List all the possible numbers of chairs she can put in each row.

Answer: _________________________

Working:

20. A number has 1, 2, 4, 5, 10, and 20 as its factors. What is the number? Explain how you know.

Answer: _________________________

Working:

End of Quiz

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Answers

Answer Key: Primary 4 Mathematics Quiz - Factors Multiples

Total Marks: 40

Section A: Multiple Choice Questions (5 × 2 marks = 10 marks)

1. Answer: C) 9

Explanation: A factor of a number divides the number exactly without leaving a remainder. 36 ÷ 9 = 4, so 9 is a factor of 36. 36 ÷ 5 = 7 remainder 1, so 5 is not a factor. 36 ÷ 7 = 5 remainder 1, so 7 is not a factor. 36 ÷ 10 = 3 remainder 6, so 10 is not a factor.
Marking: 2 marks for correct answer. 1 mark if working shows correct method but answer is wrong.

2. Answer: B) 24

Explanation: A multiple of a number is the product of that number and a whole number. 8 × 3 = 24, so 24 is a multiple of 8. 12 is not a multiple of 8 (8 × 1 = 8, 8 × 2 = 16, 8 × 3 = 24). 30 and 36 are also not multiples of 8.
Marking: 2 marks for correct answer.

3. Answer: A) 1, 2, 3, 6, 9, 18

Explanation: Factors of 18 are numbers that divide 18 exactly: 1 × 18 = 18, 2 × 9 = 18, 3 × 6 = 18. So the factors are 1, 2, 3, 6, 9, and 18. Option B includes 4 (18 ÷ 4 = 4.5, not a whole number). Option C includes 12 (18 ÷ 12 = 1.5, not a whole number). Option D misses 2.
Marking: 2 marks for correct answer.

4. Answer: B) 4

Explanation: A common factor is a number that divides both numbers exactly. Factors of 12: 1, 2, 3, 4, 6, 12. Factors of 20: 1, 2, 4, 5, 10, 20. The common factors are 1, 2, and 4. Among the options, only 4 is a common factor. 3 is a factor of 12 but not of 20. 5 is a factor of 20 but not of 12. 6 is a factor of 12 but not of 20.
Marking: 2 marks for correct answer.

5. Answer: B) 7, 14, 21

Explanation: Multiples of 7 are found by multiplying 7 by whole numbers: 7 × 1 = 7, 7 × 2 = 14, 7 × 3 = 21. So the first three multiples are 7, 14, and 21. Option A includes 1 (1 is not a multiple of 7). Option C includes 28 (which is the 4th multiple). Option D starts from 14 (missing 7).
Marking: 2 marks for correct answer.

Section B: Short Answer Questions (10 × 2 marks = 20 marks)

6. Answer: 1, 2, 3, 4, 6, 8, 12, 24

Explanation: To find all factors of 24, we find pairs of numbers that multiply to 24: 1 × 24, 2 × 12, 3 × 8, 4 × 6. So the factors are 1, 2, 3, 4, 6, 8, 12, and 24.
Marking: 2 marks for listing all 8 factors correctly. 1 mark if 1-2 factors are missing or incorrect.

7. Answer: Yes, 5 is a factor of 45 because 45 ÷ 5 = 9 with no remainder.

Explanation: A factor divides the number exactly. 45 divided by 5 equals 9, which is a whole number. So 5 is a factor of 45.
Marking: 2 marks for correct answer with correct explanation. 1 mark for correct answer without explanation or incomplete explanation.

8. Answer: 6, 12, 18, 24, 30

Explanation: The first five multiples of 6 are: 6 × 1 = 6, 6 × 2 = 12, 6 × 3 = 18, 6 × 4 = 24, 6 × 5 = 30.
Marking: 2 marks for all five correct multiples in order. 1 mark for 3-4 correct multiples.

9. Answer: 12

Explanation: Multiples of 3: 3, 6, 9, 12, 15, 18... Multiples of 4: 4, 8, 12, 16, 20... The common multiples are numbers that appear in both lists. The first common multiple is 12. Other possible answers less than 20: none (the next common multiple is 24).
Marking: 2 marks for correct answer. Accept 12 only.

10. Answer: 18, 27, 54, 63

Explanation: Multiples of 9 are: 9, 18, 27, 36, 45, 54, 63, 72... From the list: 18 (9×2), 27 (9×3), 54 (9×6), 63 (9×7). 35 and 42 are not multiples of 9.
Marking: 2 marks for circling all four correct numbers. 1 mark for 2-3 correct.

11. Answer: 56

Explanation: The 7th multiple of 8 means 8 × 7 = 56.
Marking: 2 marks for correct answer.

12. Answer: Yes, 72 is a multiple of 9 because 9 × 8 = 72.

Explanation: A number is a multiple of another if it can be divided exactly. 72 ÷ 9 = 8, so 72 is a multiple of 9.
Marking: 2 marks for correct answer with correct explanation. 1 mark for correct answer without explanation.

13. Answer: 1, 2, 4, 8

Explanation: Factors of 16: 1, 2, 4, 8, 16. Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24. Common factors (appearing in both lists): 1, 2, 4, 8.
Marking: 2 marks for listing all four common factors. 1 mark for 2-3 correct common factors.

14. Answer: 3, 6, 15, or 30 (accept any one)

Explanation: Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30. From these, the ones that are also multiples of 3 are: 3 (3×1), 6 (3×2), 15 (3×5), and 30 (3×10).
Marking: 2 marks for any correct answer. 1 mark if the answer is a factor of 30 but not a multiple of 3, or vice versa.

15. Answer: 30

Explanation: Multiples of 5: 5, 10, 15, 20, 25, 30, 35... Multiples of 6: 6, 12, 18, 24, 30, 36... The smallest number that appears in both lists is 30. This is the Least Common Multiple (LCM) of 5 and 6.
Marking: 2 marks for correct answer.

Section C: Problem-Solving Questions (5 × 2 marks = 10 marks)

16. Answer: Yes, 6 is a factor of 48 because 48 ÷ 6 = 8 with no remainder.

Explanation: If Mrs Tan gives 48 stickers equally to 6 students, each student gets 48 ÷ 6 = 8 stickers. Since the division gives a whole number (8) with no remainder, 6 is a factor of 48.
Marking: 2 marks for correct answer with correct explanation. 1 mark for correct answer without explanation.

17. Answer: 7 or 14 or 21 or 42 (accept any one)

Explanation: Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42. Multiples of 7: 7, 14, 21, 28, 35, 42... Numbers that are both factors of 42 and multiples of 7: 7, 14, 21, 42.
Marking: 2 marks for any correct answer. 1 mark if the answer is a factor of 42 but not a multiple of 7, or vice versa.

18. Answer: Yes, 4 is a factor of 36 because 36 ÷ 4 = 9. Yes, 6 is a factor of 36 because 36 ÷ 6 = 6.

Explanation: The baker can pack 36 cookies into boxes of 4: 36 ÷ 4 = 9 boxes, no leftovers. He can also pack into boxes of 6: 36 ÷ 6 = 6 boxes, no leftovers. Both 4 and 6 divide 36 exactly, so both are factors of 36.
Marking: 2 marks for correct answer with correct explanation for both. 1 mark for correct answer but only explaining one.

19. Answer: 1, 2, 4, 5, 10, 20

Explanation: The possible numbers of chairs in each row are the factors of 20. Factors of 20: 1 × 20, 2 × 10, 4 × 5. So the factors are 1, 2, 4, 5, 10, and 20. She can have 1 row of 20 chairs, 2 rows of 10 chairs, 4 rows of 5 chairs, 5 rows of 4 chairs, 10 rows of 2 chairs, or 20 rows of 1 chair.
Marking: 2 marks for listing all 6 factors. 1 mark for 4-5 correct factors.

20. Answer: 20

Explanation: The factors of a number are all the numbers that divide it exactly. If 1, 2, 4, 5, 10, and 20 are all factors of the number, then the number must be at least 20 (since 20 is a factor). Let's check: 20 ÷ 1 = 20 ✓, 20 ÷ 2 = 10 ✓, 20 ÷ 4 = 5 ✓, 20 ÷ 5 = 4 ✓, 20 ÷ 10 = 2 ✓, 20 ÷ 20 = 1 ✓. All these numbers divide 20 exactly. Also, 20 has no other factors besides these (3 does not divide 20, 6 does not divide 20, etc.). So the number is 20.
Marking: 2 marks for correct answer with correct explanation. 1 mark for correct answer without explanation or with incomplete explanation.

End of Answer Key