The document defines multiples and factors. Multiples are numbers formed by multiplying a given number by the counting numbers 1, 2, 3, etc. Factors are numbers that are multiplied together to form a product. The document provides examples of listing multiples and finding factors. It notes that every number is a multiple of its factors and that the relationship between multiples and factors. Worksheets are included for practice finding multiples and factors.

1. Multiples and
Factors
MOHD ARIF (PRT)
KENDRIYA VIDYALAYA
PUNJAB LINES MEERUT
CANTT.

2. Multiples
• A multiple is formed by multiplying a
given number by the counting numbers.
• The counting numbers are 1, 2, 3, 4, 5,
6, etc.

3. FOR EXAMPLE
• Draw no. of lines whose multiples you
want to find like multiples of 4. Then
strike with one line . Count no. of cross

4. • Then strike another line . Count no. of
cross.

5. Example: List the multiples of 4:
• 4 x 1 = 4
• 4 x 2 = 8
• 4 x 3 = 12
• 4 x 4 = 16
• 4 x 5 = 20
• 4 x 6 = 24
Counting Numbers
So, the multiples of 4
are 4, 8, 12, 16, 20, 24,
28, etc.

6. What are the first five
multiples of 13?
13 x 1 =13
13 x 2 = 26
13 x 3 = 39
13 x 4 = 52
13 x 5 = 65
13, 26, 39, 52, 65

7. POINTS TO REMEMBER
• Every multiple of a number is greater
than or equal to that number.
• The number of multiples of a given
number is infinite.
• Every number is a multiple of itself.

8. Find the Missing Multiples
• 6, 12, 18, ____, ____
• ___, 6, 9, 12, ____, ____, 21
• 12, 24, 36, ____, 60, ____

9. Factors
• Factors are the numbers you multiply
together to get a product.
• For example, the product 24 has several
factors.
• 24 = 1 x 24
• 24 = 2 x 12
• 24 = 3 x 8
• 24 = 4 x 6
• SO, the factors are 1, 2, 3, 4, 6, 8, 12, 24

10. Finding Factors
• Start with 1 x the number.
• Try 2, 3, 4, etc.
• When you repeat your factors, cross out
the repeat - you’re done at this point.
• If you get doubles (such as 4 x 4), then
you’re done. Repeats or doubles let
you know you’re done.

11. What are the factors of 16?
1 x 16
2 x 8
3 x ?? 3 is not a factor, so cross it out
4 x 4 doubles = done
The factors of 16 are
1,2,4,8,16

12. What are the factors of 18?
1 x 18
2 x 9
3 x 6
4 x ??
5 x ??
6 x 3 Repeat! Cross it out!
We’re done!
The factors are
1,2,3,6,9,18

13. What are the factors of 7?
1 x 7
2 x ??
3 x ??
4 x ??
5 x ??
6 x ??
7 x 1
This works, but it is a repeat. We
are done.
The only factors
of 7 are 1,7

14. POINTS TO REMEMBER
• 1 is a factor of every number.
• Every factor of a number is an exact
divisor of that number.
• Every factor is less than or equal to the
given number.
• Number of factors of a given number
are finite.

15. 4 × 5 = 20
4 and 5 are factors of 20. We can also say
that 20 is multiple of 4 and 5.
In 2 × 12 = 24,
2 and 12 are factors of 24.
24 is the multiple of 2 and 12.
So, a number is a multiple of its factors.
RELATIONSHIP BETWEEN MULTIPLE
AND FACTOR

16. WORKSHEET
• Write 5 multiples of given numbers :-
i) 4
ii) 6
iii) 9
iv) 7
v) 12

17. WORKSHEET
• Write factors of given numbers :-
i) 36
ii) 24
iii) 54
iv) 48
v) 64

18. •THANK YOU