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(a) 32 ÷ 2 = 16
32 ÷ 8 = 4 32 can be divided completely by 2 and 8. CHAPTER
Thus, 32 is a common multiple of 2 and 8.

(b) 60 ÷ 5 = 12 2
60 ÷ 15 = 4
60 ÷ 24 = 2 remainder 12 60 cannot be divided completely by 24.

Thus, 60 is not a common multiple of 5, 15 and 24.

(c) 72 ÷ 8 = 9
72 ÷ 9 = 8 72 can be divided completely
72 ÷ 18 = 4 by 8, 9, 18 and 24.
72 ÷ 24 = 3
Thus, 72 is a common multiple of 8, 9, 18 and 24.

4 Group

Aim: To explore the relationship between the first common multiple and the
subsequent common multiples.
Instruction: • Perform the activity in groups of four.
• Open the folder downloaded from page vii.

1. Open the file Common multiples.xls with an electronic spreadsheet. The screen
display shows a list of multiples of 3 (red) and a list of multiples of 5 (blue).

2. Observe the lists of multiples displayed, then write the first common multiple
of 3 and 5.
3. Write three subsequent common multiples of 3 and 5.
4. Explain the relationship between the first common multiple and the three
subsequent common multiples.
5. Repeat Steps 2 to 4 by changing the number in the cells A1 and A2
respectively to the following numbers:
(a) 6 and 8 (b) 4 and 10
6. Discuss with your friends and draw a conclusion about common multiples.

From the results of Exploration Activity 4, it is found that the first common multiple of 3
and 5 is 15 and all other common multiples of 3 and 5 are multiples of 15.

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Factors and Multiples

02 TB Math F1.indd 39 11/10/16 12:08 PM