Multiples of a number
Up till now we have discussed finding factors of a number i.e. to find building blocks that can be used to form the given number.
Similarly, the given number can be used to form bigger
numbers. So, what are such bigger numbers called as? Such numbers are called as
‘Multiples’.
In this post, we are going to discuss more about multiples.
To understand what is meant by multiples, let’s take an example.
12
x 1 |
= |
12 |
12
x 2 |
= |
24 |
12
x 3 |
= |
36 |
12
x 4 |
= |
48 |
. |
. |
. |
. |
. |
. |
. |
. |
. |
12
x 10 |
= |
120 |
12
x 11 |
= |
132 |
12
x 12 |
= |
144 |
. |
. |
. |
. |
. |
. |
. |
. |
. |
12
x 30 |
= |
360 |
. |
. |
. |
. |
. |
. |
. |
. |
. |
12
x 45 |
= |
540 |
. |
. |
. |
. |
. |
. |
. |
. |
. |
When
the given number is multiplied by a whole number, the result obtained is called
a multiple of the given number.
Hence
the numbers obtained in the above table lists the multiples of 12. e.g. 12, 24,
36, 48, 120, 132, 144, 360, 540 and so on are the multiples of 12.
By
looking at the table above, a question arises. How many multiples a number can
have?
The
answer is – ‘A number can have infinite number of multiples’.
To
find a multiple of a number, simply multiply the given number by a whole
number. Let’s take some more examples.
Write
multiples of 9:
9
x 5 |
= |
45 |
9
x 13 |
= |
117 |
9
x 27 |
= |
243 |
Write multiples of 15:
15
x 4 |
= |
60 |
15
x 11 |
= |
165 |
15
x 17 |
= |
255 |
21
x 6 |
= |
126 |
21
x 9 |
= |
189 |
21
x 12 |
= |
252 |
From
the above examples, you can observe that the tables of various numbers that we
learnt in earlier classes are examples of multiples of those numbers.
3
x 0 |
= |
0 |
26
x 0 |
= |
0 |
135
x 0 |
= |
0 |
Practice
time:
Find the 5 multiples each of the following numbers:
i |
3 |
ii |
4 |
iii |
8 |
iv |
11 |
v |
13 |
vi |
18 |
vii |
22 |
viii |
27 |
ix |
30 |
x |
35 |
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