1. Numerical Relationships
By the end of the presentation you will be able to:
Work out and write down the first 15 square numbers
Work out and write down the first 15 cube numbers
Find multiples of numbers and recognise that they are times tables
Find factors of numbers and put them in order of size
Find all the prime numbers in a grid
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2. Square Numbers your turn We say: one squared We write: 12
We mean: 1 x 1
The answer is: 1
We say: two squared
We write: 22
We mean: 2 x 2
The answer is: 4
your turn

3. Cube Numbers your turn We say: one cubed We write: 13
We mean: 1 x 1 x 1
The answer is: 1
We say: two cubed
We write: 23
We mean: 2 x 2 x 2
The answer is: 8
your turn

4. Multiples
A multiple is formed by multiplying a given number by the counting numbers
The counting numbers are 1, 2, 3, 4, 5, 6...
Multiples are just the times tables

5. Multiples What are the multiples of 2? They are the 2 times table
1 x 2 = 2
2 x 2 = 4
3 x 2 = 6
4 x 2 = 8 …
The multiples of 2 are: 2,4,6,8,10,12,14,16…

6. Multiples What are the multiples of 3? They are the 3 times table
1 x 3 = 3
2 x 3 = 6
3 x 3 = 9
4 x 3 = 12 …
The multiples of 3 are: 3,6,9,12,15,18,21,24…

7. Multiples 13,26,39,52,65 What are the first 5 multiples of 13?
They are the 13 times table
1 x 13 = 13
2 x 13 = 26
3 x 13 = 39
4 x 13 = 52
5 x 13 = 65
The first 5 multiples of 13 are:
13,26,39,52,65

8. Multiples
Find the Missing Multiples:
6, 12, 18, ____, ____
___, 8, 12, 16, ____, ____, 28
___, 24, 36, 48, 60, ____ 24 30 4 20 24 12 72

9. Multiples are always equal to or bigger than the original number

10. Factors
A factor is a number which divides exactly into a given number leaving no remainder

11. Factors
How many different groups can you make with 6 counters?

12. Factors
How many different groups can you make with 6 counters?

13. Factors
How many different groups can you make with 6 counters?

14. Factors
How many different groups can you make with 6 counters?

15. Factors 1 group of 6 3 groups of 2 6 groups of 1 2 groups of 3
How many different groups can you make with 6 counters?
1 group of 6
3 groups of 2
6 groups of 1
2 groups of 3
The factors of 6 are: 1, 2, 3, 6

16. Factors
What are the factors of 8? 1 x 8

17. Factors
What are the factors of 8? 1 x 8

18. Factors
What are the factors of 8? 1 x 8 2 4

19. Factors
What are the factors of 8? 1 x 8 2 4

20. Factors
What are the factors of 8? 1 x 8 2 4 3
Title page.

21. Factors
What are the factors of 8? 1 x 8 2 4 3
Title page.

22. This is a repeated number so STOP
Factors
What are the factors of 8? 1 x 8 2 4 3
This is a repeated number so STOP
The factors of 8 are: 1, 2, 4, 8

23. Factors
What are the factors of 36? 1 x 24 2 12 3 8 4 6 5

24. Factors
What are the factors of 36? 1 x 36 2 12 3 8 4 6 5

25. Factors
What are the factors of 36? 1 x 36 2 12 3 8 4 6 5

26. Factors
What are the factors of 36? 1 x 36 2 18 3 8 4 6 5

27. Factors
What are the factors of 36? 1 x 36 2 18 3 8 4 6 5

28. Factors
What are the factors of 36? 1 x 36 2 18 3 12 4 6 5

29. Factors
What are the factors of 36? 1 x 36 2 18 3 12 4 6 5

30. Factors
What are the factors of 36? 1 x 36 2 18 3 12 4 9 5 6

31. Factors
What are the factors of 36? 1 x 36 2 18 3 12 4 9 5 6

32. Factors
What are the factors of 36? 1 x 36 2 18 3 12 4 9 5 6

33. This is a repeated number so STOP
Factors
What are the factors of 36? 1 x 36 2 18 3 12 4 9 5 6
This is a repeated number so STOP
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

34. Multiples and Factors What are the first six multiples of 4?
What are the factors of 24?

35. Venn Diagram
Factors of 24
Multiples of 4
Multiples of 6

36. Definitions Even Number
Any number that can be divided by 2 without leaving a remainder
Odd Number
Any number that cannot be divided by 2 without leaving a remainder
Composite Number
A number that can be divided by at least one other number (a factor) other than 1 or itself
Prime Number
A number with exactly 2 factors,1 and itself

37. Prime numbers 1 is a special number2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99
100
1 is a special number
Why?
Let’s find all the prime numbers
1 has only one factor and so is neither prime nor composite
Cross out 1 because it is not prime

38. Cross out 1 because it is not prime
Prime numbers x 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99
100
Cross out 1 because it is not prime

39. Prime numbers x Circle it 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1819 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99
100
What is the first prime number?
What is special about this number?
It is the only even prime number
Circle it

40. Prime numbers x x x x x x x x x x x x x x x x x x x x x x x x x x x x1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99
100 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x

41. Prime numbers
in real life