Exploring Factors, Multiples, and Divisors in Mathematics

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Dive into the concepts of factors, multiples, and divisors through visual representations of arranging stars and footballs in various ways. Understand how numbers like 6 and 8 can be written as products of different factors, and learn about division concepts such as exact divisors and remainders. Explore the relationship between numbers and their divisors through engaging illustrations.


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  1. 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

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

  3. 1 Row 6 Stars/Row = 6 Stars 3

  4. 3 Rows 2 Stars per row = 6 stars 4

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

  6. 6 Rows 1 Star/Row = 6 Stars 6

  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 7

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

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

  10. 2 Rows 4 Balls / Row = 8 Balls 10

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

  12. 8 Rows 1 Ball / Row = 8 Balls 12

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

  14. 7 divides 28 exactly and gives Quotient 4 and Remainder 0. 28 7 = 4 14

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

  16. 28 divides 28 exactly and gives Quotient 1 and Remainder 0. 28 28 = 1 16

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

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

  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. 19

  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 24. 24 is the multiple of 2 and 12. So, a number is a multiple of its factors. 20

  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. 21

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

  23. 4 5 = 20 Factors Multiple 23

  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. 24

  25. 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

  26. 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] 26

  27. 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

  28. THANK YOU 28

  29. CORRECT 29

  30. WRONG 30

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