1 factors & multiples r.usha tgt ( mathematics) kv,gill nagar chennai. powerpoint hosted on ...
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11
FACTORS &
MULTIPLESR.USHAR.USHA
TGT ( MATHEMATICS)TGT ( MATHEMATICS)KV,GILL NAGARKV,GILL NAGAR
CHENNAI.CHENNAI.
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22
ARRANGEMENT OF STARS
Take 6 stars and arrange
them in different
ways
33
1 Row × 6 Stars/Row = 6 Stars
44
3 Rows × 2 Stars per row = 6 stars
55
22 Rows Rows × × 33 stars per row = stars per row = 66 stars stars
66
6 Rows × 1 Star/Row = 6 Stars
77
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
99
Arrangement of 8 in different ways
1 Row × 8 Balls/Row = 8 Balls
1010
2 Rows × 4 Balls / Row = 8 Balls
1111
4 Rows ×
2 Balls / Row =
8 Balls
1212
8 Rows × 1 Ball / Row =
8 Balls
1313
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
28 ÷ 1 = 28
28 ÷ 4 = 7
28 ÷ 7 = 4
28 ÷ 28= 1
1
4
7
28
FACTORS OF 28
18
16 ÷ 1 = 16
16 ÷ 2 = 8
16 ÷ 4 = 4
16 ÷ 8 = 2
16 ÷ 16 = 1
1
2
4
8
16
FACTORS OF 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
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.
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
• 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.
POINTS TO REMEMBER contd
2626
FACTOR OR MULTIPLE?FACTOR OR MULTIPLE? For each of numbers in the statements, select For each of numbers in the statements, select
either multiple [M] or factor [F]either multiple [M] or factor [F] 34 34 × 5 = 170× 5 = 170 [[FF] [] [MM] [] [FF] [] [MM] [] [FF] [] [MM]]
25 × 4 = 10025 × 4 = 100 [[FF] [] [MM] [] [FF] [] [MM] [] [FF] [] [MM]]
90 × 10 = 90090 × 10 = 900 [[FF] [] [MM] [] [FF] [] [MM] [] [FF] [] [MM]]
45 × 6 = 27045 × 6 = 270 [[FF] [] [MM] [] [FF] [] [MM] [] [FF] [] [MM]]
7 × 30 = 2107 × 30 = 210 [[FF] [] [MM] [] [FF] [] [MM] [] [FF] [] [MM]]
2727
State whether the following State whether the following statements are statements are TRUETRUE or or FALSEFALSE
1. 1 is a factor of every number. 1. 1 is a factor of every number. FF TT2. The largest factor of any number is the number itself. 2. The largest factor of any number is the number itself. FF TT3. Number of factors of a given number is infinite. 3. Number of factors of a given number is infinite. FF TT4.The number of multiples of 5 is 10. 4.The number of multiples of 5 is 10. FF TT5.The factors of 65 are 1, 5 and 13 only. 5.The factors of 65 are 1, 5 and 13 only. FF TT
( Click ‘F’ for false and ‘T’ for true )( Click ‘F’ for false and ‘T’ for true )
2828
THANK YOU
2929
CORRECTCORRECT
3030
WRONGWRONG
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