Factors and Common Factors

1. FACTORS

2. What
are
FACTORS?

3. FACTORS
Factors are the numbers that
are multiplied to get a
product.

4. Example:
Find the factors of 8.

5. The given number is 8.
- Find two numbers that
when multiplied together the
product is 8.

6. 8 can be written as product of two
numbers in many ways:
8 = 1 × 8
8 = 2 × 4
8 = 4 × 2
8 = 8 × 1

7. 8 = 1 × 8
8 = 2 × 4
8 = 4 × 2
8 = 8 × 1
Now, that you have all the numbers, list
down the numbers once as factors of 8.
8 = 1, 2, 4, 8

8. 1, 2, 4 and 8 are
FACTORS of 8.

9. Factors of
28.

10. 7 times 4 exactly and
gives the product 28.
7 x 4 = 28

11. 4 times 7 gives
PRODUCT 28.
4 x 7 = 28

12. 2 times 14 gives
PRODUCT 28.
2 x 14 = 28

13. 14 times 2 gives
PRODUCT 28.
14 x 2 = 28

14. 28 times 1 or 1 times 28
gives PRODUCT 28.
28 x 1 = 28
1 x 28 = 28

15. 28 x 1 = 28
1 x 28 = 28
14 x 2 = 28
2 x 14 = 28
7 x 4 = 28
4 x 7 = 28
1
28
2
14
4
7
FACTORS OF 28

16. 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.

17. 16 = 1, 2, 4, 8, 16
FACTORS OF 16

18. 16 = 1, 2, 4, 8, 16
When you use these
factors to divide to 16 the
quotient will be exact and
there will be no remainder.

19. 16 ÷ 1 = 16
16 ÷ 2 = 8
16 ÷ 4 = 4
16 ÷ 8 = 2
16 ÷ 16 = 1
FACTORS OF 16

20. FACTOR PAIRS
- the combination of two
factors whose product is the
given numbers.

21. 14 x 2 = 28
In this given
example, 14 and 2 are
called factor pairs.

22. 24 x 12 = 288
In this given
example, 24 and 12 are
called factor pairs.

23. COMMON FACTORS
- the factors that are the
same for all the given
numbers.

24. Let us try to find the
common factors of
numbers 8, 16, and 24.

25. 8 = 1,2,4,8
16 = 1,2,4,8,16
24 = 1, 2, 3, 4, 6, 8, 12, 24
First, list down all the
factors of the given numbers.

26. 8 = 1,2,4,8
16 = 1,2,4,8,16
24 = 1, 2, 3, 4, 6, 8, 12, 24
Now, that you have all the factors of
the given numbers. Identify the factors
that is common or the same in the three.

27. 8 = 1,2,4,8
16 = 1,2,4,8,16
24 = 1, 2, 3, 4, 6, 8, 12, 24
Now, that you have all the factors of
the given numbers. Identify the factors
that is common or the same in the three.

28. 8 = 1,2,4,8
16 = 1,2,4,8,16
24 = 1, 2, 3, 4, 6, 8, 12, 24
So, the common
factors of 8,16, and 24
are 1, 2, 4 and 8.

29. COMMON FACTORS
Two or more numbers may
have more than one common
factors.

30. Let us
try this!!!

31. Give the factors of
24

32. Give the factors of
24
24 – 1, 2, 3, 4, 6, 8,
12, 24

33. Give the factors of
40

34. Give the factors of
40
40 – 1, 2, 4, 5, 8 , 10,
20, 40

35. Give the common
factors of
24 and 40.

36. 24 – 1, 2, 3, 4, 6, 8, 12,
24
40 – 1, 2, 4, 5, 8 , 10,
20, 40

37. 24 – 1, 2, 3, 4, 6, 8, 12,
24
40 – 1, 2, 4, 5, 8 , 10,
20, 40

38. 24 – 1, 2, 3, 4, 6, 8, 12,
24
40 – 1, 2, 4, 5, 8 , 10,
20, 40
COMMON FACTORS:
1, 2, 4, 8

39. 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.

40. THANK
YOU!!!