FACTORS  &  MULTIPLES BY DEEPAK KUMAR Powerpoint hosted on  www.worldofteaching.com Please visit for 100’s more free power...
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...
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 <ul><li>A  factor   of a number is an exact divisor of  that number i.e. the factor leaves remainder 0 when it divi...
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 factor...
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...
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 <ul><li>1 is a factor of every number. </li></ul><ul><li>Every factor of a number is an exact divisor o...
<ul><li>Every multiple of a number is greater than or equal to that number. </li></ul><ul><li>The number of multiples of a...
FACTOR OR MULTIPLE? <ul><li>For each of numbers in the statements, select either multiple [M] or factor [F] </li></ul><ul>...
State whether the following statements are  TRUE  or  FALSE <ul><li>1. 1 is a factor of every number.  F   T </li></ul><ul...
THANK YOU
<ul><li>CORRECT   </li></ul>
<ul><li>WRONG   </li></ul>
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Factors multiples

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Factors multiples

  1. 1.
  2. 2. FACTORS & MULTIPLES BY DEEPAK KUMAR Powerpoint hosted on www.worldofteaching.com Please visit for 100’s more free powerpoints
  3. 3. ARRANGEMENT OF STARS Take 6 stars and arrange them in different ways
  4. 4. 1 Row × 6 Stars/Row = 6 Stars
  5. 5. 3 Rows × 2 Stars per row = 6 stars
  6. 6. 2 Rows × 3 stars per row = 6 stars
  7. 7. 6 Rows × 1 Star/Row = 6 Stars
  8. 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. 9. ARRANGEMENT OF FOOTBALLS Take 8 footballs and arrange them in different ways
  10. 10. Arrangement of 8 in different ways 1 Row × 8 Balls/Row = 8 Balls
  11. 11. 2 Rows × 4 Balls / Row = 8 Balls
  12. 12. 4 Rows × 2 Balls / Row = 8 Balls
  13. 13. 8 Rows × 1 Ball / Row = 8 Balls
  14. 14. 1, 2, 4 and 8 are exact divisors of 8.
  15. 15. 7 divides 28 exactly and gives Quotient 4 and Remainder 0. 28 ÷ 7 = 4
  16. 16. 4 divides 28 exactly and gives Quotient 7 and Remainder 0. 28 ÷ 4 = 7
  17. 17. 28 divides 28 exactly and gives Quotient 1 and Remainder 0. 28 ÷ 28 = 1
  18. 18. 28 ÷ 1 = 28 28 ÷ 4 = 7 28 ÷ 7 = 4 28 ÷ 28= 1 1 4 7 28 FACTORS OF 28
  19. 19. 16 ÷ 1 = 16 16 ÷ 2 = 8 16 ÷ 4 = 4 16 ÷ 8 = 2 16 ÷ 16 = 1 1 2 4 8 16 FACTORS OF 16
  20. 20. FACTOR <ul><li>A factor of a number is an exact divisor of that number i.e. the factor leaves remainder 0 when it divides the number. </li></ul>
  21. 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. 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. 23. FACTORS OF SOME NUMBERS 8 = 1,2,4,8 16 = 1,2,4,8,16 25 = 1,5,25
  24. 24. 4 × 5 = 20 Factors Multiple
  25. 25. POINTS TO REMEMBER <ul><li>1 is a factor of every number. </li></ul><ul><li>Every factor of a number is an exact divisor of that number. </li></ul><ul><li>Every factor is less than or equal to the given number. </li></ul><ul><li>Number of factors of a given number are finite. </li></ul>
  26. 26. <ul><li>Every multiple of a number is greater than or equal to that number. </li></ul><ul><li>The number of multiples of a given number is infinite. </li></ul><ul><li>Every number is a multiple of itself. </li></ul>POINTS TO REMEMBER contd
  27. 27. FACTOR OR MULTIPLE? <ul><li>For each of numbers in the statements, select either multiple [M] or factor [F] </li></ul><ul><li>34 × 5 = 170 </li></ul><ul><li>[ F ] [ M ] [ F ] [ M ] [ F ] [ M ] </li></ul><ul><li>25 × 4 = 100 </li></ul><ul><li>[ F ] [ M ] [ F ] [ M ] [ F ] [ M ] </li></ul><ul><li>90 × 10 = 900 </li></ul><ul><li>[ F ] [ M ] [ F ] [ M ] [ F ] [ M ] </li></ul><ul><li>45 × 6 = 270 </li></ul><ul><li>[ F ] [ M ] [ F ] [ M ] [ F ] [ M ] </li></ul><ul><li>7 × 30 = 210 </li></ul><ul><li>[ F ] [ M ] [ F ] [ M ] [ F ] [ M ] </li></ul>
  28. 28. State whether the following statements are TRUE or FALSE <ul><li>1. 1 is a factor of every number. F T </li></ul><ul><li>2. The largest factor of any number is the number itself. F T </li></ul><ul><li>3. Number of factors of a given number is infinite. F T </li></ul><ul><li>4.The number of multiples of 5 is 10. F T </li></ul><ul><li>5.The factors of 65 are 1, 5 and 13 only. F T </li></ul><ul><li>( Click ‘F’ for false and ‘T’ for true ) </li></ul>
  29. 29. THANK YOU
  30. 30. <ul><li>CORRECT </li></ul>
  31. 31. <ul><li>WRONG </li></ul>

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