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

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

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3 1 Row × 6 Stars/Row = 6 Stars

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4 3 Rows × 2 Stars per row = 6 stars

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5 2 Rows × 3 stars per row = 6 stars

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6 6 Rows × 1 Star/Row = 6 Stars

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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

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

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

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10 2 Rows × 4 Balls / Row = 8 Balls

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11 4 Rows × 2 Balls / Row = 8 Balls

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12 8 Rows × 1 Ball / Row = 8 Balls

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13 1, 2, 4 and 8 are exact divisors of 8.

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14 7 divides 28 exactly and gives Quotient 4 and Remainder ÷ 7 = 4

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15 4 divides 28 exactly and gives Quotient 7 and Remainder ÷ 4 = 7

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16 28 divides 28 exactly and gives Quotient 1 and Remainder ÷ 28 = 1

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17 28 ÷ 1 = ÷ 4 = 7 28 ÷ 7 = 4 28 ÷ 28= FACTORS OF 28

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

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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.

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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 is the multiple of 2 and 12. So, a number is a multiple of its factors.

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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.

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

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23 4 × 5 = 20 FactorsMultiple

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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.

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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

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26 FACTOR OR MULTIPLE? For each of numbers in the statements, select either multiple [M] or factor [F] 33334 × 5 = 170 [ FFFF] [ MMMM] [ FFFF] [ MMMM] [ FFFF] [ MMMM] 22225 × 4 = 100 [ FFFF] [ MMMM] [ FFFF] [ MMMM] [ FFFF] [ MMMM] 99990 × 10 = 900 [ FFFF] [ MMMM] [ FFFF] [ MMMM] [ FFFF] [ MMMM] 44445 × 6 = 270 [ FFFF] [ MMMM] [ FFFF] [ MMMM] [ FFFF] [ MMMM] 7 × 30 = 210 [ FFFF] [ MMMM] [ FFFF] [ MMMM] [ FFFF] [ MMMM]

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

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28 THANK YOU

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29 CORRECT

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30 WRONG

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