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Finding the Multiples of a Number

The multiples of a number can be found by multiplying it by counting numbers 1, 2,
3, 4 and so on.
example 1: Find the first five multiples of 7.

Solution: 7 × 1 = 7
7 × 2 = 14
7 × 3 = 21
7 × 4 = 28
7 × 5 = 35
Thus, the first five multiples of 7 are 7, 14, 21, 28, 35. Remember

example 2: Find the 10th multiple of 11. To find the even
multiples of a number
Solution: To find the 10th multiple of 11, multiply 11 by 10. multiply the numbers
Since, 11 × 10 = 110 by even counting
numbers. To find
Thus, the 10th multiple of 11 = 110 the odd multiples of
example 3: Find the first five even multiples of 9. a number multiply
the numbers by odd
Solution: First five even numbers are 2, 4, 6, 8 and 10. counting numbers.
So, the first five even multiples of 9 are:

9 × 2 = 18 9 × 4 = 36 9 × 6 = 54 9 × 8 = 72 9 × 10 = 90
Thus, the first five even multiples of 9 are 18, 36, 54, 72 and 90.
example 4: Find the first five odd multiples of 13.
Solution: First five odd numbers are 1, 3, 5, 7 and 9.

So, the first five odd multiples of 13 are:
13 × 1 = 13 13 × 3 = 39 13 × 5 = 65 13 × 7 = 91 13 × 9 = 117

Thus, the first five odd multiples of 13 are 13, 39, 65, 91 and 117.
to Find out Whether one Number is a Multiple of another

For a number to be a multiple of another, it must be exactly divisible by
the smaller number without leaving any remainder. 5 75 15
5
example 5: Is 75 a multiple of 5? 25
Solution: If 75 is a multiple of 5, then it should be completely 25
divisible by 5, that is, remainder should be 0. 0
Since, remainder = 0 when we divide 75 by 5.

So, 75 is a multiple of 5.
example 6: Is 38 a multiple of 7?
Solution: Again, if 38 is a multiple of 7, then it should be completely
divisible by 7. 7 38 5

Since, remainder is not 0 when we divide 38 by 7. 35
3
So, 38 is not a multiple of 7.

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