Page 94 - Math Genius C4

E:\Working\Orange_Education\Math_Genius_4\Open_Files\Chap-05
\ 30-Sep-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________

MUltiPles

Riya and Siya love dancing. They join a dance class in the month of
June. Riya attends the class every fourth day in the month starting

from 4th June. Siya attends the class every third day in the month
starting from 3rd June.

Here, the calendar for the month of June is given. We circle
the dates on which Riya attends the class green and the JUNE ****

dates on which Siya attends the class red. SUN MON TUE wed ThU Fri sAt
1 2 3
The red circled numbers are called the multiples of 3. 4 5 6 7 8 9 10
11 12 13 14 15 16 17
The green circled numbers are called the multiples of 4. 18 19 20 21 22 23 24

Let us see the multiples of 3 and 4 as explained below in 25 26 27 28 29 30
the tables.

Number × Counting Multiples Number × Counting Multiples
(3) numbers of 3 (4) numbers of 4

3 × 1 = 3 4 × 1 = 4
3 × 2 = 6 4 × 2 = 8
3 × 3 = 9 4 × 3 = 12

3 × 4 = 12 4 × 4 = 16
3 × 5 = 15 4 × 5 = 20

3 × 6 = 18 4 × 6 = 24
3 × 7 = 21 4 × 7 = 28
3 × 8 = 24 4 × 8 = 32

3 × 9 = 27 4 × 9 = 36
3 × 10 = 30 4 × 10 = 40

3, 6, 9, 12, 15, 18, 21, 24, 27 and 30 4, 8, 12, 16, 20, 24, 28, 32, 36 and
are the first 10 multiples of 3. 40 are the first 10 multiples of 4.
Thus, multiples of a number are the product of that number and the counting

numbers, 1, 2, 3, 4 and so on.

We can also say that a multiple is the product of two or more factors.

For example: 3 × 8 = 24 24 is the product of 3 and 8. So, 24 is a
multiple of both 3 and 8.
Factor Factor Multiple

Thus, the product of two or more numbers is called a multiple of each of these

numbers.

92 Mathematics-4