1. R.USHA TGT ( MATHEMATICS) KV,GILL NAGAR CHENNAI.
FACTORS & MULTIPLES
R.USHA
TGT ( MATHEMATICS)
KV,GILL NAGAR
CHENNAI.
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2. ARRANGEMENT OF STARS
Take 6 stars and arrange
them in different
ways

3. 1 Row × 6 Stars/Row = 6 Stars

4. 3 Rows × 2 Stars per row = 6 stars

5. 2 Rows × 3 stars per row = 6 stars

6. 6 Rows × 1 Star/Row = 6 Stars

7. As we can see, 6 can be written as product of two numbers in many ways: 6 = 1 × 6
6 = 2 × 3
6 = 3 × 2
6 = 6 × 1
1, 2, 3 and 6 are exact divisors of 6

8. ARRANGEMENT OF FOOTBALLS Take 8 footballs and arrange
them in different
ways

9. Arrangement of 8 in different ways
1 Row × 8 Balls/Row = 8 Balls

10. 2 Rows × 4 Balls / Row = 8 Balls

11. 4 Rows ×
2 Balls / Row =
8 Balls

12. 8 Rows × 1 Ball / Row =
8 Balls

13. 1, 2, 4 and 8 are exact divisors of 8.

14. 7 divides 28 exactly and gives Quotient 4 and Remainder 0.
28 ÷ 7 = 4

15. 4 divides 28 exactly and gives Quotient 7 and Remainder 0.
28 ÷ 4 = 7

16. 28 divides 28 exactly and gives Quotient 1 and Remainder 0.
28 ÷ 28 = 1

17. FACTORS OF 28
28 ÷ 1 = 28
28 ÷ 4 = 7
28 ÷ 7 = 4
28 ÷ 28= 1 1 4 7 28

18. FACTORS OF 16
16 ÷ 1 = 16
16 ÷ 2 = 8
16 ÷ 4 = 4
16 ÷ 8 = 2
16 ÷ 16 = 1 1 2 4 8 16

19. FACTOR
A factor of a number is an exact divisor of that number i.e. the factor leaves remainder 0 when it divides the number.

20. 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.

21. The number of multiples of a given number is infinite.

22. FACTORS OF SOME NUMBERS
8 = 1,2,4,8
16 = 1,2,4,8,16
25 = 1,5,25

23. 4 × 5 = 20
Factors
Multiple

24. 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.

25. POINTS TO REMEMBER contd
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.

26. FACTOR OR MULTIPLE?
For each of numbers in the statements, select either multiple [M] or factor [F]
34 × = 170
[F] [M] [F] [M] [F] [M]
25 × = 100
90 × = 900
45 × = 270
7 × = 210

27. State whether the following statements are TRUE or FALSE
1. 1 is a factor of every number. F T
2. The largest factor of any number is the number itself. F T
3. Number of factors of a given number is infinite. F T
4.The number of multiples of 5 is 10. F T
5.The factors of 65 are 1, 5 and 13 only. F T
( Click ‘F’ for false and ‘T’ for true )

28. THANK YOU

29. CORRECT

30. WRONG