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FACTORS & MULTIPLES R.USHA TGT ( MATHEMATICS) KV,GILL NAGAR CHENNAI. 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 = 28 28 ÷ 4 = 7 28 ÷ 7 = 4 28 1 28 ÷ 28= 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 FACTOR OR MULTIPLE? For each of numbers in the statements, select either multiple [M] or factor [F] 34 × 5 = 170 [F] [M] 25 [F] [M] × [F] [M] 90 [F] [M] × [F] [M] 45 × 7 [F] [M] 6 [F] [M] × = 100 [F] [M] 10 = 900 [F] [M] [F] [M] 4 [F] [M] [F] [M] = 270 [F] [M] 30 = 210 [F] [M] [F] [M] 26 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 ) 27 THANK YOU 28 CORRECT 29 WRONG 30