Page 80 - ICSE Math 4

Multiples of a Number

A mul ple of a number is the product of the given number and any other coun ng number.

The mul ples of a given number are obtained by mul plying it with coun ng numbers like
1, 2, 3, 4, 5 .... and so on.
Top Tip
Look at the fi rst fi ve mul ples of 6 that are listed below.
All the counting
6 × 1 = 6, 6 × 2 = 12, 6 × 3 = 18, 6 × 4 = 24, 6 × 5 = 30 numbers such as 1, 2,

Here, the products obtained on mul plying 6 with 1, 2, 3, 3, 4, …, are called natural
4, and 5, i.e., 6, 12, 18, 24 and 30, respec vely are the fi rst numbers. The natural
numbers, including 0 are
fi ve mul ples of 6. called whole numbers.
Example 4: Write the fi rst fi ve mul ples of 8.

Solu on: The fi rst fi ve mul ples of 8 can be obtained by mul plying 8 with 1, 2, 3, 4
and 5.
8 × 1 = 8, 8 × 2 = 16, 8 × 3 = 24, 8 × 4 = 32, 8 × 5 = 40

So, the fi rst fi ve mul ples of 8 are 8, 16, 24, 32 and 40.

To fi nd whether a given larger number is a mul ple of the smaller number or not, we
divide the larger number by the smaller number. If the remainder is 0, then the larger
number is a mul ple of the smaller number. However, if the remainder is 1 or more, then
the larger number is not a mul ple of the smaller number.
Example 5: Find whether 654 is a Example 6: Find whether 264 is a
mul ple of 7 or not. mul ple of 2 or not.

93 132
Solu on: 7 654 Solu on: 2 264
–63 –2
24 06

– 21 – 6
03 Remainder 04
– 4
0
Since the remainder obtained is Since the remainder obtained
not 0, 654 is not a mul ple of 7. is 0, 264 is a mul ple of 2.

Properties of Multiples Top Tip

Multiples of a number
• Every number is a mul ple of 1.
can also be obtained by
For example, 1 × 13 = 13 where 13 is a mul ple of 1. skip counting. For example,
to fi nd the multiples of 5,
• Every number is a mul ple of itself.
skip count by 5. Thus the
For example, 7 × 1 = 7 where 7 is a mul ple of 7. multiples of 5 are 5, 10,
15, 20, … .

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