Factors and Multiples Quiz - ICSE Class 5 Mathematics

Free practice quiz: Factors and Multiples (ICSE Class 5 Mathematics). 59 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This ICSE Class 5 Mathematics practice quiz has 59 multiple-choice questions on Factors and Multiples, and 59 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. Which of the following numbers is a factor of 72, but not a factor of 48?

   1. 6
   2. 8
   3. 12
   4. 9
   Show answer

   Answer: D. 9

   Factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. The number 9 is a factor of 72 but not of 48.

2. What is the smallest composite number?

   1. 1
   2. 2
   3. 3
   4. 4
   Show answer

   Answer: D. 4

   A composite number is a natural number that has at least one divisor other than 1 and itself. The number 1 is neither prime nor composite. The number 2 is prime (divisors are 1 and 2). The number 3 is prime (divisors are 1 and 3). The number 4 has divisors 1, 2, and 4. Since it has a divisor other than 1 and itself (which is 2), it is a composite number. It is the smallest such number.

3. What is the smallest number that leaves a remainder of 1 when divided by 2, 3, 4, 5, and 6?

   1. 60
   2. 61
   3. 120
   4. 121
   Show answer

   Answer: B. 61

   First, find the LCM of 2, 3, 4, 5, and 6. Prime factorization of 2 = 2. Prime factorization of 3 = 3. Prime factorization of 4 = 2^2. Prime factorization of 5 = 5. Prime factorization of 6 = 2 x 3. LCM(2, 3, 4, 5, 6) = 2^2 x 3 x 5 = 4 x 3 x 5 = 60. The numbers that leave a remainder of 1 when divided by these numbers will be of the form (LCM x k) + 1. The smallest such number is when k=1. So, (60 x 1) + 1 = 60 + 1 = 61.

4. What is the greatest 4-digit number divisible by 15?

   1. 9990
   2. 9995
   3. 9985
   4. 9975
   Show answer

   Answer: A. 9990

   The greatest 4-digit number is 9999. For a number to be divisible by 15, it must be divisible by both 3 and 5. A number is divisible by 5 if its last digit is 0 or 5. A number is divisible by 3 if the sum of its digits is divisible by 3. Let's check numbers downwards from 9999. 9999: Sum of digits = 36 (divisible by 3). Last digit is 9 (not divisible by 5). 9998: Sum of digits = 35 (not divisible by 3). Last digit is 8 (not divisible by 5). 9997: Sum of digits = 34 (not divisible by 3). Last digit is 7 (not divisible by 5). 9996: Sum of digits = 33 (divisible by 3). Last digit is 6 (not divisible by 5). 9995: Sum of digits = 32 (not divisible by 3). Last digit is 5 (divisible by 5). 9994: Sum of digits = 31 (not divisible by 3). Last digit is 4 (not divisible by 5). 9993: Sum of digits = 30 (divisible by 3). Last digit is 3 (not divisible by 5). 9992: Sum of digits = 29 (not divisible by 3). Last digit is 2 (not divisible by 5). 9991: Sum of digits = 28 (not divisible by 3). Last digit is 1 (not divisible by 5). 9990: Sum of digits = 27 (divisible by 3). Last digit is 0 (divisible by 5). Since 9990 is divisible by both 3 and 5, it is divisible by 15. As we checked downwards, it is the greatest 4-digit number divisible by 15. Alternatively, divide 9999 by 15: 9999 / 15 = 666 with a remainder of 9. So, 9999 - 9 = 9990 is the greatest multiple of 15 less than or equal to 9999.

5. What is the smallest number divisible by 11 and 13?

   1. 11
   2. 13
   3. 143
   4. 273
   Show answer

   Answer: C. 143

   To find the smallest number divisible by 11 and 13, we need to find their LCM. Since 11 and 13 are prime numbers, their LCM is their product. LCM(11, 13) = 11 x 13 = 143.

More questions in this quiz

Answers and explanations are in the full quiz.

1. What is the HCF of 144 and 192?
2. Which of the following is a common multiple of 8, 12, and 18?
3. What is the smallest number that leaves a remainder of 2 when divided by 3, 4, and 5?
4. The product of two numbers is 576. Their HCF is 8. What is their LCM?
5. Which of the following pairs of numbers are co-prime?
6. Find the LCM of 24, 36, and 40.
7. What is the largest prime factor of 210?
8. If the HCF of two numbers is 12 and their LCM is 72, and one of the numbers is 24, what is the other number?
9. Which number is divisible by all prime numbers less than 10?
10. Find the sum of all even factors of 60.
11. What is the HCF of 36 and 54?
12. Find the sum of the first three even prime numbers.
13. What is the smallest number that is divisible by 7, 14, and 21?
14. Which number is the product of three consecutive prime numbers?
15. What is the largest 3-digit number divisible by 9?
16. Find the HCF of 84 and 90.
17. What is the smallest 3-digit number that is divisible by 12, 15, and 18?
18. The HCF of two consecutive even numbers is always:
19. Find the sum of the prime factors of 120.
20. What is the smallest perfect square that is divisible by 6 and 8?
21. If a number is divisible by both 9 and 15, it must also be divisible by:
22. Which is the largest prime number less than 50?
23. What is the HCF of 96 and 108?
24. Which number is NOT a factor of 90?
25. What is the smallest number that is divisible by 5, 7, and 10?
26. The product of two numbers is 120 and their HCF is 2. What is their LCM?
27. Which of the following numbers is divisible by 3, 4, 5, and 6?
28. What is the smallest prime number?
29. Which number is a factor of 48, but not a factor of 30?
30. Find the sum of the first 5 odd numbers.
31. What is the smallest multiple of 11 that is greater than 100?
32. If the HCF of two numbers is 6 and their product is 432, what is their LCM?
33. Which is the smallest odd prime number?
34. What is the LCM of 10, 15, and 20?
35. The sum of the distinct prime factors of 42 is:
36. What is the smallest 5-digit number that is exactly divisible by 9?
37. Which of the following numbers is a prime number?
38. The HCF of 18, 24, and 30 is:
39. Which number has the most factors from the following options?
40. What is the smallest number that can be formed by multiplying 5 consecutive prime numbers?
41. What is the smallest composite number that is a multiple of 7?
42. Which number is NOT a prime factor of 150?
43. What is the HCF of 210 and 330?
44. Which of the following is a pair of co-prime numbers?
45. What is the smallest number that when divided by 12, 15, and 20 leaves no remainder?
46. The number 576 is divisible by how many prime numbers?
47. What is the HCF of 16, 24, and 40?
48. What is the sum of the prime factors of 96?
49. What is the smallest 3-digit number divisible by 3, 5, 6, 8, and 9?
50. Which number is NOT a factor of 120?
51. The sum of the two smallest prime numbers is:
52. What is the largest prime factor of 360?
53. Find the LCM of 7, 8, and 9.
54. Which number is divisible by 12, but not by 8?

More quizzes

• Geometric Measurement▶ Play
• Geometry▶ Play
• Mixed Operations▶ Play
• Money▶ Play
• Place Value and Number Sense▶ Play
• Probability▶ Play

Browse all Mathematics quizzes

More to play