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11
FACTORS
&
MULTIPLES
R.USHAR.USHA
TGT ( MATHEMATICS)TGT ( MATHEMATICS)
KV,GILL NAGARKV,GILL NAGAR
CHENNAI.CHENNAI.
Powerpoint hosted on www.worldofteaching.com
Please visit for 100’s more free powerpoints
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 RowsRows ×× 33 stars per row =stars per row = 66 starsstars
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
1
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, selectFor each of numbers in the statements, select
either multiple [M] or factor [F]either multiple [M] or factor [F]
 3434 × 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 followingState whether the following
statements arestatements are TRUETRUE oror FALSEFALSE
1. 1 is a factor of every number.1. 1 is a factor of every number. FF TT
2. The largest factor of any number is the number itself.2. The largest factor of any number is the number itself. FF TT
3. Number of factors of a given number is infinite.3. Number of factors of a given number is infinite. FF TT
4.The number of multiples of 5 is 10.4.The number of multiples of 5 is 10. FF TT
5.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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Factors multiples

  • 1. 11 FACTORS & MULTIPLES R.USHAR.USHA TGT ( MATHEMATICS)TGT ( MATHEMATICS) KV,GILL NAGARKV,GILL NAGAR CHENNAI.CHENNAI. Powerpoint hosted on www.worldofteaching.com Please visit for 100’s more free powerpoints
  • 2. 22 ARRANGEMENT OF STARS Take 6 stars and arrange them in different ways
  • 3. 33 1 Row × 6 Stars/Row = 6 Stars
  • 4. 44 3 Rows × 2 Stars per row = 6 stars
  • 5. 55 22 RowsRows ×× 33 stars per row =stars per row = 66 starsstars
  • 6. 66 6 Rows × 1 Star/Row = 6 Stars
  • 7. 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. 8 ARRANGEMENT OF FOOTBALLS Take 8 footballs and arrange them in different ways
  • 9. 99 Arrangement of 8 in different ways 1 Row × 8 Balls/Row = 8 Balls
  • 10. 1010 2 Rows × 4 Balls / Row = 8 Balls
  • 11. 1111 4 Rows × 2 Balls / Row = 8 Balls
  • 12. 1212 8 Rows × 1 Ball / Row = 8 Balls
  • 13. 1313 1, 2, 4 and 8 are exact divisors of 8.
  • 14. 14 7 divides 28 exactly and gives Quotient 4 and Remainder 0. 28 ÷ 7 = 4
  • 15. 15 4 divides 28 exactly and gives Quotient 7 and Remainder 0. 28 ÷ 4 = 7
  • 16. 16 28 divides 28 exactly and gives Quotient 1 and Remainder 0. 28 ÷ 28 = 1
  • 17. 17 28 ÷ 1 = 28 28 ÷ 4 = 7 28 ÷ 7 = 4 28 ÷ 28= 1 1 4 7 28 FACTORS OF 28
  • 18. 18 16 ÷ 1 = 16 16 ÷ 2 = 8 16 ÷ 4 = 4 16 ÷ 8 = 2 16 ÷ 16 = 1 1 2 4 8 1 FACTORS OF 16
  • 19. 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. 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. 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. 22 FACTORS OF SOME NUMBERS 8 = 1,2,4,8 16 = 1,2,4,8,16 25 = 1,5,25
  • 23. 23 4 × 5 = 20 Factors Multiple
  • 24. 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. 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
  • 26. 2626 FACTOR OR MULTIPLE?FACTOR OR MULTIPLE? For each of numbers in the statements, selectFor each of numbers in the statements, select either multiple [M] or factor [F]either multiple [M] or factor [F]  3434 × 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]]
  • 27. 2727 State whether the followingState whether the following statements arestatements are TRUETRUE oror FALSEFALSE 1. 1 is a factor of every number.1. 1 is a factor of every number. FF TT 2. The largest factor of any number is the number itself.2. The largest factor of any number is the number itself. FF TT 3. Number of factors of a given number is infinite.3. Number of factors of a given number is infinite. FF TT 4.The number of multiples of 5 is 10.4.The number of multiples of 5 is 10. FF TT 5.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 )