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1
FACTORS
&
MULTIPLES
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2
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
3
1, 2, 4 and 8 are
exact divisors of 8.
4
7 divides 28 exactly and
gives Quotient 4 and
Remainder 0.
28 ÷ 7 = 4
5
4 divides 28 exactly and
gives Quotient 7 and
Remainder 0.
28 ÷ 4 = 7
6
28 divides 28 exactly and
gives Quotient 1 and
Remainder 0.
28 ÷ 28 = 1
7
28 ÷ 1 = 28
28 ÷ 4 = 7
28 ÷ 7 = 4
28 ÷ 28= 1
1
4
7
28
FACTORS OF 28
8
16 ÷ 1 = 16
16 ÷ 2 = 8
16 ÷ 4 = 4
16 ÷ 8 = 2
16 ÷ 16 = 1
1
2
4
8
16
FACTORS OF 16
9
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.
10
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.
11
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.
12
FACTORS OF SOME
NUMBERS
8 = 1,2,4,8
16 = 1,2,4,8,16
25 = 1,5,25
13
4 × 5 = 20
Factors Multiple
14
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.
15
• 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

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Factors and multiples

  • 1. 1 FACTORS & MULTIPLES Powerpoint hosted on www.worldofteaching.com Please visit for 100’s more free powerpoints
  • 2. 2 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
  • 3. 3 1, 2, 4 and 8 are exact divisors of 8.
  • 4. 4 7 divides 28 exactly and gives Quotient 4 and Remainder 0. 28 ÷ 7 = 4
  • 5. 5 4 divides 28 exactly and gives Quotient 7 and Remainder 0. 28 ÷ 4 = 7
  • 6. 6 28 divides 28 exactly and gives Quotient 1 and Remainder 0. 28 ÷ 28 = 1
  • 7. 7 28 ÷ 1 = 28 28 ÷ 4 = 7 28 ÷ 7 = 4 28 ÷ 28= 1 1 4 7 28 FACTORS OF 28
  • 8. 8 16 ÷ 1 = 16 16 ÷ 2 = 8 16 ÷ 4 = 4 16 ÷ 8 = 2 16 ÷ 16 = 1 1 2 4 8 16 FACTORS OF 16
  • 9. 9 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.
  • 10. 10 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.
  • 11. 11 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.
  • 12. 12 FACTORS OF SOME NUMBERS 8 = 1,2,4,8 16 = 1,2,4,8,16 25 = 1,5,25
  • 13. 13 4 × 5 = 20 Factors Multiple
  • 14. 14 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.
  • 15. 15 • 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