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\\December 6, 2023 12:53 PM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74

MUltiPles

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

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

Here, the calendar for the month of June is given. We circle
the dates after 1st of June with green sketch on which Riya JUNe ****

attends the class and with red sketch on which Siya attends SUN MON tUe Wed thU Fri SAt
1
3
2
the class. 4 5 6 7 8 9 10
11 12 13 14 15 16 17
The red circled numbers are called the multiples of 3. 18 19 20 21 22 23 24
The green circled numbers are called the multiples of 4. 25 26 27 28 29 30
Let us see the multiples of 3 and 4 as explained below in 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.

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