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Factors multiples

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Deepak Kumar

Deepak Kumar

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Factors multiples Factors multiples Presentation Transcript

  • FACTORS & MULTIPLES BY DEEPAK KUMAR 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
  • 28 ÷ 1 = 28 28 ÷ 4 = 7 28 ÷ 7 = 4 28 ÷ 28= 1 1 4 7 28 FACTORS OF 28
  • 16 ÷ 1 = 16 16 ÷ 2 = 8 16 ÷ 4 = 4 16 ÷ 8 = 2 16 ÷ 16 = 1 1 2 4 8 16 FACTORS OF 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.
  • 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.
  • 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.
    • 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
  • 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
    • [ F ] [ M ] [ F ] [ M ] [ F ] [ M ]
    • 90 × 10 = 900
    • [ F ] [ M ] [ F ] [ M ] [ F ] [ M ]
    • 45 × 6 = 270
    • [ F ] [ M ] [ F ] [ M ] [ F ] [ M ]
    • 7 × 30 = 210
    • [ F ] [ M ] [ F ] [ M ] [ F ] [ M ]
  • 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 )
  • THANK YOU
    • CORRECT
    • WRONG