Worksheet Chapter 2: Factors and Multiples

1. Express 60 as a product of its prime factors using prime factorisation.

2. Fill in the blank: The smallest common multiple among two or more given numbers is known as the __________ Common Multiple.

3. Which of the following is the Lowest Common Multiple (LCM) of 9 and 12?

4. True or False: The number 2 is the only even prime number.

5. A carpenter has two wooden boards with lengths of 84 cm and 108 cm. He wants to cut both boards into smaller pieces of equal length without any wood leftover. Find the maximum length possible for each smaller piece.

6. True or False: 45 is a multiple of 6.

7. Find the Highest Common Factor (HCF) of 24, 36, and 48 using repeated division.

8. Three alarm clocks ring at intervals of 5 minutes, 10 minutes, and 15 minutes respectively. If all three alarms ring together at 8:00 AM, at what time will they all ring together again?

9. List all the factors of 28.

10. Find the difference between the LCM and the HCF of 12 and 16.