The document discusses factors and multiples of numbers. It provides examples of arranging objects like stars and footballs in different ways to get the same total, with the number of objects in each arrangement being the factors of the total. Factors are defined as exact divisors that leave no remainder. Multiples are numbers that a factor divides into with no remainder. Every number is a factor of itself and has an infinite number of multiples.

1. FACTORS & MULTIPLES . Powerpoint hosted on www.worldofteaching.com Please visit for 100’s more free powerpoints

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

3. 1 Row × 6 Stars/Row = 6 Stars

4. 3 Rows × 2 Stars per row = 6 stars

5. 2 Rows × 3 stars per row = 6 stars

6. 6 Rows × 1 Star/Row = 6 Stars

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

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

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

10. 2 Rows × 4 Balls / Row = 8 Balls

11. 4 Rows × 2 Balls / Row = 8 Balls

12. 8 Rows × 1 Ball / Row = 8 Balls

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

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

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

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

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

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

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.

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.

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.

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

23. 4 × 5 = 20 Factors Multiple

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.

25. 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

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