R.USHA TGT ( MATHEMATICS) KV,GILL NAGAR CHENNAI. FACTORS & MULTIPLES R.USHA TGT ( MATHEMATICS) KV,GILL NAGAR CHENNAI. Powerpoint hosted on www.worldofteaching.com Please visit for 100’s more free powerpoints

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

1 Row × 6 Stars/Row = 6 Stars

3 Rows × 2 Stars per row = 6 stars

2 Rows × 3 stars per row = 6 stars

6 Rows × 1 Star/Row = 6 Stars

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

ARRANGEMENT OF FOOTBALLS Take 8 footballs and arrange them in different ways

Arrangement of 8 in different ways 1 Row × 8 Balls/Row = 8 Balls

2 Rows × 4 Balls / Row = 8 Balls

4 Rows × 2 Balls / Row = 8 Balls

8 Rows × 1 Ball / Row = 8 Balls

1, 2, 4 and 8 are exact divisors of 8.

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

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

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

FACTORS OF 28 28 ÷ 1 = 28 28 ÷ 4 = 7 28 ÷ 7 = 4 28 ÷ 28= 1 1 4 7 28

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

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.

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.

The number of multiples of a given number is infinite.

FACTORS OF SOME NUMBERS 8 = 1,2,4,8 16 = 1,2,4,8,16 25 = 1,5,25

4 × 5 = 20 Factors Multiple

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.

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.

FACTOR OR MULTIPLE? For each of numbers in the statements, select either multiple [M] or factor [F] 34 × 5 = 170 [F] [M] [F] [M] [F] [M] 25 × 4 = 100 90 × 10 = 900 45 × 6 = 270 7 × 30 = 210

State whether the following statements are TRUE or FALSE 1. 1 is a factor of every number. F T 2. The largest factor of any number is the number itself. F T 3. Number of factors of a given number is infinite. F T 4.The number of multiples of 5 is 10. F T 5.The factors of 65 are 1, 5 and 13 only. F T ( Click ‘F’ for false and ‘T’ for true )

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CORRECT

WRONG