This document discusses multiples and factors of numbers. It defines multiples as the products of two numbers and provides examples of multiples of 2, 3, and the common multiples of 2 and 3. It then lists 5 important facts about multiples, such as that every number is a multiple of itself and 1. The document also defines factors as numbers that divide a given number with no remainder. It provides examples of finding the factors of 21 and 44. It concludes by listing 3 points to remember about factors.

1. FACTORS
AND
MULTIPLES

2. MULTIPLES

3. Multiples
Product of two given numbers is called multiple.
Multiple is the result of multiplying any number
with other numbers like 1, 2, 3, 4 etc.
Example:
Multiples of 2 - 2, 4, 6, 8, 10, 12 and so on
Multiples of 3 – 3,6, 9, 12, 15, 18, 21 and so on

4. Common Multiples
Common multiple means a number that is multiple of
two or more numbers.
Example:
Multiple of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 ….
Multiple of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 …..
Common multiple of 2 and 3 are 6, 12, 18 …..

5. IMPORTANT FACTS ABOUT
MULTIPLES

6. 1. A number can have unlimited multiples
Example: Multiple of 5 are 5, 10, 15, 20, 25 . . . . . . . . . .
2. Every number is multiple of itself.
Example: 8 is multiple of itself as 8x1 = 8
3. Every number is multiple of 1.
Example: 9 x 1 = 9
4. All multiple is either equal to or greater than the given number.
Example: 8 x 1 = 8
8 x 2 = 16
8 and 16 ≥ 8
5. Multiple of given two numbers are exactly divisible by the two given number.
Example: 3 x 11 = 33
(Multiple 33 is divisible exactly by 3 as well as 11)

7. FACTORS

8. Factors
Factor is the number that can divide the given number completely
without leaving any remainder.
Example: 21 is exactly divisible by 1, 3, 7 and 21 and there is no remainder. Thus we
can say that 1, 3, 7, and 21 are the factors of 21
OR
We can say factors are the numbers multiplied to get the other number.
Example:
2 x 6 = 12
2 and 6 are the factors of 12

9. Steps to find the factors of a number-
Find out all the number with which the given
number is exactly divisible.
Example: 44 is exactly divisible by 1, 4, 11, 22
and 44. So, 1, 4, 11, 22 and 44 are factors of
44.

10. Points To Be Remembered-
1 is factor of itself as well as of all
numbers.
Greatest factor of a number is the
number itself.
Every factor of given number is less
than or equal to the given number.

11. LET'S DO THE
WORKSHEETS!!!

12. THANK
YOU