The document discusses factors and multiples of numbers. It explains that a factor is an exact divisor of a number that leaves no remainder, while a multiple is the result of multiplying a number by its factors. Some key points covered include: - 1 is a factor of every number - The number of factors of a given number is finite, while the number of multiples is infinite - A number is both a factor and multiple of itself - Examples are given of writing numbers as products of factors and identifying factors and multiples of various numbers.

2. FACTORS & MULTIPLES BY DEEPAK KUMAR 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. 28 ÷ 1 = 28 28 ÷ 4 = 7 28 ÷ 7 = 4 28 ÷ 28= 1 1 4 7 28 FACTORS OF 28

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. 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.

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. 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

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. 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 )

29. THANK YOU

30. CORRECT

31. WRONG