FACTORS MULTIPLES Powerpoint hosted on www worldofteaching com

ARRANGEMENT OF STARS Take 6 stars and arrange them in different ways 2

As we can see, 6 can be written as product of two numbers in

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

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 divides 28 exactly and gives Quotient 7 and Remainder 0. 28 ÷ 4

28 divides 28 exactly and gives Quotient 1 and Remainder 0. 28 ÷ 28

FACTOR A factor of a number is an exact divisor of that number i.

4 × 5 = 20 4 and 5 are factors of 20. We can

Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20,

FACTORS OF SOME NUMBERS 8 = 1, 2, 4, 8 16 = 1, 2,

POINTS TO REMEMBER • 1 is a factor of every number. • Every factor

POINTS TO REMEMBER contd • Every multiple of a number is greater than or

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FACTORS & MULTIPLES. Powerpoint hosted on www. worldofteaching. com Please visit for 100’s more free powerpoints 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 7

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 1 = 28 28 ÷ 4 4 =7 28 ÷ 7 7 =4 28 ÷ 28 28= 1 17

FACTORS OF 16 16 ÷ 1 = 16 16 ÷ 2 = 8 16 ÷ 4 = 4 16 ÷ 8 = 2 16 ÷ 16 = 1 18

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 22

4 × 5 = 20 Factors Multiple 23

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. 24

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

THANK YOU 26