FACTORS & MULTIPLES : FACTORS & MULTIPLES PARAMJIT 1
Slide 2 : 2 ARRANGEMENT OF STARS Take 6 stars and arrange
them in different
ways
Slide 3 : 3 1 Row × 6 Stars/Row = 6 Stars
Slide 4 : 4 3 Rows × 2 Stars per row = 6 stars
Slide 5 : 5 2 Rows × 3 stars per row = 6 stars
Slide 6 : 6 6 Rows × 1 Star/Row = 6 Stars
Slide 7 : 7 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
Slide 8 : 8 ARRANGEMENT OF FOOTBALLS Take 8 footballs and arrange
them in different
ways
Slide 9 : 9 Arrangement of 8 in different ways 1 Row × 8 Balls/Row = 8 Balls
Slide 10 : 10 2 Rows × 4 Balls / Row = 8 Balls
Slide 11 : 11 4 Rows ×
2 Balls / Row =
8 Balls
Slide 12 : 12 8 Rows × 1 Ball / Row =
8 Balls
Slide 13 : 13 1, 2, 4 and 8 are exact divisors of 8.
Slide 14 : 14 7 divides 28 exactly and gives Quotient 4 and Remainder 0.
28 ÷ 7 = 4
Slide 15 : 15 4 divides 28 exactly and gives Quotient 7 and Remainder 0.
28 ÷ 4 = 7
Slide 16 : 16 28 divides 28 exactly and gives Quotient 1 and Remainder 0.
28 ÷ 28 = 1
Slide 17 : 17 28 ÷ 1 = 28
28 ÷ 4 = 7
28 ÷ 7 = 4
28 ÷ 28= 1 1
4
7
28 FACTORS OF 28
Slide 18 : 18 16 ÷ 1 = 16
16 ÷ 2 = 8
16 ÷ 4 = 4
16 ÷ 8 = 2
16 ÷ 16 = 1 1
2
4
8
16 FACTORS OF 16
FACTOR : 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
Slide 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.
Slide 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.
Slide 22 : 22 FACTORS OF SOME NUMBERS
8 = 1,2,4,8
16 = 1,2,4,8,16
25 = 1,5,25
Slide 23 : 23 4 × 5 = 20 Factors Multiple
POINTS TO REMEMBER : 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
Slide 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
Slide 26 : 26 THANK YOU