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Made BY Archana Sharma

This educational PowerPoint presentation by Archana Sharma explores the fundamental concepts of factors and multiples using engaging examples such as arranging stars and footballs. Presented for students at KV Gill Nagar, Chennai, it covers how to determine factors of numbers through visual arrangements, demonstrating that a number can be expressed as a product of different pairs. Key points include the characteristics of factors and multiples, their definitions, and practices with various numbers. Enhance your math skills with these informative insights!

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Made BY Archana Sharma

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  1. Made BY Archana Sharma

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

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

  4. 1 Row × 6 Stars/Row = 6 Stars

  5. 3 Rows × 2 Stars per row = 6 stars

  6. 2 Rows × 3 stars per row = 6 stars

  7. 6 Rows × 1 Star/Row = 6 Stars

  8. 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

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

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

  11. 2 Rows × 4 Balls / Row = 8 Balls

  12. 4 Rows × 2 Balls / Row = 8 Balls

  13. 8 Rows × 1 Ball / Row = 8 Balls

  14. 1, 2, 4 and 8 are exact divisors of 8.

  15. 7 divides 28 exactly and gives Quotient 4 and Remainder 0. 28 ÷ 7 = 4

  16. 4 divides 28 exactly and gives Quotient 7 and Remainder 0. 28 ÷ 4 = 7

  17. 28 divides 28 exactly and gives Quotient 1 and Remainder 0. 28 ÷ 28 = 1

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

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

  20. FACTOR A factorof a number is an exact divisor of that number i.e. the factor leaves remainder 0 when it divides the number.

  21. 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.

  22. 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.

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

  24. 4 × 5 = 20 Factors Multiple

  25. 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.

  26. 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.

  27. 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]

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

  29. THANK YOU

  30. CORRECT

  31. WRONG

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