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 1-100 grid

Numerical Relationships

Square Numbers

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: 4your turn

Cube Numbers

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: 8your turn

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

MultiplesWhat are the multiples of 2?

They are the 2 times table

1 x 2 = 22 x 2 = 43 x 2 = 64 x 2 = 8 …

The multiples of 2 are: 2,4,6,8,10,12,14,16…

MultiplesWhat are the multiples of 3?

They are the 3 times table

1 x 3 = 32 x 3 = 63 x 3 = 94 x 3 = 12 …

The multiples of 3 are: 3,6,9,12,15,18,21,24…

MultiplesWhat are the first 5 multiples of 13?

They are the 13 times table

1 x 13 = 132 x 13 = 263 x 13 = 394 x 13 = 525 x 13 = 65

The first 5 multiples of 13 are:

13,26,39,52,65

MultiplesFind the Missing Multiples:

6, 12, 18, ____, ____

___, 8, 12, 16, ____, ____, 28

___, 24, 36, 48, 60, ____

24 30

4 20 24

12 72

Multiples are always equal to or bigger

than the original number

Factors

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

FactorsHow many different groups can you make with 6 counters?

FactorsHow many different groups can you make with 6 counters?

FactorsHow many different groups can you make with 6 counters?

FactorsHow many different groups can you make with 6 counters?

FactorsHow many different groups can you make with 6 counters?

1 group of 6

6 groups of

12 groups of

3

3 groups of

2

The factors of 6 are: 1, 2, 3, 6

FactorsWhat are the factors of 8?

1 x 8

FactorsWhat are the factors of 8?

1 x 8

FactorsWhat are the factors of 8?

1 x 8

2 x 4

FactorsWhat are the factors of 8?

1 x 8

2 x 4

FactorsWhat are the factors of 8?

1 x 8

2 x 4

3 x

FactorsWhat are the factors of 8?

1 x 8

2 x 4

3 x

FactorsWhat are the factors of 8?

The factors of 8 are: 1, 2, 4, 8

1 x 8

2 x 4

3 x4 x

This is a repeated

number so STOP

FactorsWhat are the factors of 36?

1 x 24

2 x 12

3 x 8

4 x 6

5 x6 x

FactorsWhat are the factors of 36?

1 x 36

2 x 12

3 x 8

4 x 6

5 x6 x

FactorsWhat are the factors of 36?

1 x 36

2 x 12

3 x 8

4 x 6

5 x6 x

FactorsWhat are the factors of 36?

1 x 36

2 x 18

3 x 8

4 x 6

5 x6 x

FactorsWhat are the factors of 36?

1 x 36

2 x 18

3 x 8

4 x 6

5 x6 x

FactorsWhat are the factors of 36?

1 x 36

2 x 18

3 x 12

4 x 6

5 x6 x

FactorsWhat are the factors of 36?

1 x 36

2 x 18

3 x 12

4 x 6

5 x6 x

FactorsWhat are the factors of 36?

1 x 36

2 x 18

3 x 12

4 x 9

5 x6 x

FactorsWhat are the factors of 36?

1 x 36

2 x 18

3 x 12

4 x 9

5 x6 x

FactorsWhat are the factors of 36?

1 x 36

2 x 18

3 x 12

4 x 9

5 x6 x

FactorsWhat are the factors of 36?

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

1 x 36

2 x 18

3 x 12

4 x 9

5 x6 x 6

This is a repeated

number so STOP

Multiples and Factors

What are the first six multiples of 4?

What are the first six multiples of 6?

What are the factors of 24?

Multiples of 4

Multiples of 6

Factors of 24

Venn Diagram

Definitions• Even Number

Any number that can be divided by 2 without leaving a remainder

• Odd NumberAny number that cannot be divided by 2 without leaving a remainder

• Composite NumberA number that can be divided by at least

one other number (a factor) other than 1 or itself

• Prime NumberA number with exactly 2 factors,1 and

itself

Prime numbers1 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 99100

Let’s find all the prime numbers

1 is a special number

Why?

Cross out 1 because it is not

prime

1 has only one factor and so is

neither prime nor composite

Prime numbers1 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 99100

Cross out 1 because it is not

prime

x

Prime numbers1 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 99100

x What is the first prime number?

What is special about this number?

It is the only even prime number

Circle it

Prime numbers1 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 99100

x x xx

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Prime numbers

in real life