Transcript factors & multiples

FACTORS
&
MULTIPLES
R.USHA
TGT ( MATHEMATICS)
KV,GILL NAGAR
CHENNAI.
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1
ARRANGEMENT OF STARS
Take 6 stars and arrange
them in different
ways
2
1 Row × 6 Stars/Row = 6 Stars
3
3 Rows × 2 Stars per row = 6 stars
4
2 Rows × 3 stars per row = 6 stars
5
6 Rows × 1 Star/Row
= 6 Stars
6
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
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ARRANGEMENT OF FOOTBALLS
Take 8 footballs and arrange
them in different
ways
8
Arrangement of 8 in
different ways
1 Row × 8 Balls/Row = 8 Balls
9
2 Rows × 4 Balls / Row = 8 Balls
10
4 Rows ×
2 Balls / Row =
8 Balls
11
8 Rows × 1 Ball / Row =
8 Balls
12
1, 2, 4 and 8 are
exact divisors of 8.
13
7 divides 28 exactly and
gives Quotient 4 and
Remainder 0.
28 ÷ 7 = 4
14
4 divides 28 exactly and
gives Quotient 7 and
Remainder 0.
28 ÷ 4 = 7
15
28 divides 28 exactly and
gives Quotient 1 and
Remainder 0.
28 ÷ 28 = 1
16
FACTORS OF 28
28 ÷ 1 = 28
28 ÷ 4 = 7
28 ÷ 7 = 4
28 1
28 ÷ 28=
17
FACTORS OF 16
16 ÷ 1 = 16
16 ÷ 2 = 8
16 ÷ 4 = 4
16 ÷ 8 = 2
16 ÷ 16 = 1
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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.
19
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.
20
Multiples of 2 =
2,4,6,8,10,12,14,16,18,20,22,24…
Multiples of 3 =
3,6,9,12,15,18,21,24,27,30,33,36,…
Multiples of 15 =
15,30,4,60,75,90,105,120,135,……
The number of multiples of
a given number is infinite.
21
FACTORS OF SOME
NUMBERS
8 = 1,2,4,8
16 = 1,2,4,8,16
25 = 1,5,25
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4 × 5 = 20
Factors
Multiple
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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.
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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.
25
FACTOR OR MULTIPLE?
For each of numbers in the statements, select
either multiple [M] or factor [F]
 34 × 5 = 170
[F] [M]
 25
[F] [M]
×
[F] [M]
 90
[F] [M]
×
[F] [M]
 45
×
7
[F] [M]
6
[F] [M]
×
= 100
[F] [M]
10 = 900
[F] [M]
[F] [M]

4
[F] [M]
[F] [M]
= 270
[F] [M]
30 = 210
[F] [M]
[F] [M]
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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 )
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THANK YOU
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CORRECT
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WRONG
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