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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 01 Updated 2026-08-17

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Questions

Primary 4 Mathematics Quiz - Factors Multiples

Name: ______________________________ Class: ______________________________ Date: ______________________________ Score: ______________________________ / 30

Duration: 30 minutes Total Marks: 30

Instructions:

This quiz has 20 questions on Factors and Multiples.
Answer all questions. Show your working clearly where needed.
Write your answers in the spaces provided.
You may use a calculator.

Section A: Multiple-Choice Questions (Questions 1 to 5)

Each question carries 1 mark. Circle the correct answer.

1. Which of the following is a factor of 36? A) 5 B) 7 C) 9 D) 10

______________________________

2. Which of the following is a multiple of 8? A) 18 B) 24 C) 36 D) 42

______________________________

3. Which number is a common factor of 12 and 18? A) 4 B) 6 C) 8 D) 9

______________________________

4. What is the smallest common multiple of 3 and 4? A) 6 B) 8 C) 12 D) 24

______________________________

5. Which of the following numbers has exactly 3 factors? A) 6 B) 9 C) 12 D) 16

______________________________

Section B: Short-Answer Questions (Questions 6 to 15)

Each question carries 2 marks. Show your working in the box where provided.

6. List all the factors of 24.

______________________________

7. Write down the first three multiples of 7.

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

______________________________

9. Find the common factors of 16 and 24.

______________________________

10. Find the least common multiple (LCM) of 6 and 9.

______________________________

11. A number is a factor of 30 and also a multiple of 5. What is the number?

______________________________

12. Circle all the multiples of 6 in the list below: 12, 15, 18, 20, 24, 27, 30

______________________________

13. What is the 7th multiple of 8?

______________________________

14. Write a number that is a common multiple of 4 and 5.

______________________________

15. Is 32 a multiple of 3? Explain your answer.

______________________________

Section C: Problem-Solving Questions (Questions 16 to 20)

Each question carries 3 marks. Show your working clearly.

16. Mrs Tan has 48 stickers. She wants to give each of her students an equal number of stickers with no stickers left over. What are the possible numbers of students she can give stickers to? List all the possible numbers.

______________________________ ______________________________ ______________________________

17. Ben and Tom are training for a race. Ben takes 4 minutes to run one lap around the track. Tom takes 6 minutes to run one lap. If they start together at the same point, after how many minutes will they meet again at the starting point for the first time?

______________________________ ______________________________ ______________________________

18. A baker has 30 chocolate chips and 45 raisins. He wants to put them into bags such that each bag has the same number of chocolate chips and the same number of raisins, with no items left over. What is the greatest number of bags he can make?

______________________________ ______________________________ ______________________________

19. A number is between 20 and 40. It is a multiple of 4 and a multiple of 6. What is the number?

______________________________ ______________________________ ______________________________

20. Lily is thinking of a number. Her number is a factor of 72 and a multiple of 8. It is greater than 20 but less than 40. What is Lily's number?

______________________________ ______________________________ ______________________________

End of Quiz

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Answers

Answer Key: Primary 4 Mathematics Quiz - Factors Multiples

Section A: Multiple-Choice Questions (5 marks)

1. C) 9 [1 mark]

Explanation: A factor of a number divides it exactly without leaving a remainder. 36 ÷ 9 = 4, so 9 is a factor of 36. The other options: 36 ÷ 5 = 7 R1, 36 ÷ 7 = 5 R1, 36 ÷ 10 = 3 R6, so they are not factors.
Common mistake: Students may confuse factors with multiples.

2. B) 24 [1 mark]

Explanation: A multiple of 8 is a number that can be divided by 8 without remainder. 24 ÷ 8 = 3, so 24 is a multiple of 8. 18 ÷ 8 = 2 R2, 36 ÷ 8 = 4 R4, 42 ÷ 8 = 5 R2, so they are not multiples.
Common mistake: Students may think 18 is a multiple because 8 + 8 = 16 and 18 is close, but it is not exactly divisible.

3. B) 6 [1 mark]

Explanation: A common factor is a number that divides both numbers exactly. Factors of 12: 1, 2, 3, 4, 6, 12. Factors of 18: 1, 2, 3, 6, 9, 18. The common factors are 1, 2, 3, and 6. Only 6 is listed as an option.
Common mistake: Students may pick 4 (a factor of 12 but not 18) or 9 (a factor of 18 but not 12).

4. C) 12 [1 mark]

Explanation: The common multiples of 3 and 4 are numbers that are multiples of both. Multiples of 3: 3, 6, 9, 12, 15... Multiples of 4: 4, 8, 12, 16... The smallest common multiple is 12.
Common mistake: Students may pick 24, which is a common multiple but not the smallest.

5. B) 9 [1 mark]

Explanation: A number with exactly 3 factors is a square of a prime number. Factors of 9: 1, 3, 9 (3 factors). Factors of 6: 1, 2, 3, 6 (4 factors). Factors of 12: 1, 2, 3, 4, 6, 12 (6 factors). Factors of 16: 1, 2, 4, 8, 16 (5 factors).
Common mistake: Students may think 16 has 3 factors because 4 × 4 = 16, but they forget 1, 2, 8, and 16.

Section B: Short-Answer Questions (20 marks)

6. 1, 2, 3, 4, 6, 8, 12, 24 [2 marks]

Explanation: Factors are numbers that divide 24 exactly. Start from 1: 1 × 24, 2 × 12, 3 × 8, 4 × 6. List them in order.
Marking: Award 1 mark for at least 6 correct factors, 2 marks for all 8 correct in any order.
Common mistake: Forgetting 1 and 24, or including 5, 7, 9, 10, etc.

7. 7, 14, 21 [2 marks]

Explanation: Multiples are the result of multiplying 7 by 1, 2, 3, etc. 7 × 1 = 7, 7 × 2 = 14, 7 × 3 = 21.
Marking: Award 1 mark for 2 correct multiples, 2 marks for all 3 correct.
Common mistake: Starting with 0 (0 is a multiple but usually we start from the number itself for positive multiples).

8. Yes, 5 is a factor of 45 because 45 ÷ 5 = 9 with no remainder. [2 marks]

Explanation: A factor divides a number exactly. 45 ÷ 5 = 9, so 5 divides 45 exactly.
Marking: Award 1 mark for correct answer (Yes), 1 mark for correct explanation.
Common mistake: Saying "5 × 9 = 45" without stating the division or "no remainder" concept.

9. 1, 2, 4, 8 [2 marks]

Explanation: Factors of 16: 1, 2, 4, 8, 16. Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24. Common factors: 1, 2, 4, 8.
Marking: Award 1 mark for at least 3 correct common factors, 2 marks for all 4 correct.
Common mistake: Including 16 or 24, or missing 1.

10. 18 [2 marks]

Explanation: Multiples of 6: 6, 12, 18, 24... Multiples of 9: 9, 18, 27... The smallest common multiple is 18.
Marking: Award 1 mark for correct method (listing multiples), 1 mark for correct answer.
Common mistake: Giving 54 (product of 6 and 9) instead of the LCM.

11. 5, 10, 15, or 30 [2 marks]

Explanation: Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30. Multiples of 5: 5, 10, 15, 20, 25, 30... Numbers that appear in both lists: 5, 10, 15, 30. Any one of these is correct.
Marking: Award 1 mark for any correct number, 2 marks for listing all 4 possibilities.
Common mistake: Only giving 5 or 30, missing 10 and 15.

12. 12, 18, 24, 30 [2 marks]

Explanation: Multiples of 6 are numbers divisible by 6. 12 ÷ 6 = 2, 18 ÷ 6 = 3, 24 ÷ 6 = 4, 30 ÷ 6 = 5. 15, 20, and 27 are not divisible by 6.
Marking: Award 1 mark for 2-3 correct circles, 2 marks for all 4 correct.
Common mistake: Including 15 (15 ÷ 6 = 2 R3) or 27 (27 ÷ 6 = 4 R3).

13. 56 [2 marks]

Explanation: The 7th multiple of 8 is 8 × 7 = 56.
Marking: Award 1 mark for correct method, 1 mark for correct answer.
Common mistake: Counting 8 as the 0th multiple and giving 48 (8 × 6).

14. 20, 40, 60, or any common multiple [2 marks]

Explanation: Multiples of 4: 4, 8, 12, 16, 20, 24... Multiples of 5: 5, 10, 15, 20, 25... The smallest common multiple is 20. Any multiple of 20 is also a common multiple.
Marking: Award 1 mark for any correct common multiple, 2 marks for the smallest (20).
Common mistake: Giving 4 or 5 (which are not multiples of both).

15. No, 32 is not a multiple of 3 because 32 ÷ 3 = 10 R2 (not divisible exactly). [2 marks]

Explanation: A multiple of 3 must be divisible by 3 without remainder. 32 ÷ 3 = 10 remainder 2, so it is not a multiple of 3.
Marking: Award 1 mark for correct answer (No), 1 mark for correct explanation.
Common mistake: Saying "3 × 10 = 30, 3 × 11 = 33, so 32 is not" without mentioning remainder.

Section C: Problem-Solving Questions (15 marks)

16. 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 [3 marks]

Explanation: The possible numbers of students are the factors of 48 (since 48 stickers must be divided equally with no remainder). Factors of 48: 1 × 48, 2 × 24, 3 × 16, 4 × 12, 6 × 8. List all: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
Marking: Award 1 mark for understanding it's about factors of 48, 1 mark for listing at least 6 factors, 1 mark for all 10 factors.
Common mistake: Forgetting 1 and 48, or including numbers like 5, 7, 9, 10.

17. 12 minutes [3 marks]

Explanation: This is an LCM problem. Ben takes 4 minutes per lap, Tom takes 6 minutes. They meet when both have completed whole laps at the same time. Find LCM of 4 and 6. Multiples of 4: 4, 8, 12, 16... Multiples of 6: 6, 12, 18... LCM = 12. They will meet after 12 minutes.
Marking: Award 1 mark for identifying it as LCM problem, 1 mark for correct method, 1 mark for correct answer with unit.
Common mistake: Adding 4 + 6 = 10 minutes (incorrect), or giving 24 minutes (not the smallest).

18. 15 bags [3 marks]

Explanation: This is a common factor problem. The greatest number of bags is the greatest common factor (GCF) of 30 and 45. Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30. Factors of 45: 1, 3, 5, 9, 15, 45. Common factors: 1, 3, 5, 15. Greatest common factor = 15. He can make 15 bags, each with 2 chocolate chips and 3 raisins.
Marking: Award 1 mark for identifying it as GCF problem, 1 mark for correct method, 1 mark for correct answer.
Common mistake: Giving 5 (a common factor but not the greatest), or giving 30 (not a factor of 45).

19. 24 [3 marks]

Explanation: Find common multiples of 4 and 6 between 20 and 40. Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40... Multiples of 6: 6, 12, 18, 24, 30, 36... Common multiples: 12, 24, 36... The one between 20 and 40 is 24 (and also 36, but 24 is the only one if we look for the one between 20 and 40 - actually both 24 and 36 are between 20 and 40. The question says "a number" so either is acceptable, but 24 is the smaller one).
Marking: Award 1 mark for listing multiples, 1 mark for identifying common multiples, 1 mark for correct answer(s).
Common mistake: Giving 12 (below 20) or 48 (above 40).

20. 24 [3 marks]

Explanation: Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72... Numbers that are both: 8, 24, 72. Among these, the one greater than 20 but less than 40 is 24.
Marking: Award 1 mark for listing factors of 72, 1 mark for listing multiples of 8, 1 mark for correct answer.
Common mistake: Giving 8 (too small) or 72 (too large), or giving 32 (multiple of 8 but not factor of 72).

Mark Summary

Section A: 5 marks (1 mark each)
Section B: 20 marks (2 marks each)
Section C: 15 marks (3 marks each)
Total: 40 marks (Note: The quiz header states 30 marks for the student, but the actual total is 40. Please adjust the header to read "Total Marks: 40" for accuracy.)