1. Title: Types of Numbers
Look at the list of keywords. Which words are familiar to you? Mark the words with a ✅
Odd Number
Even Number
Natural Number
Factor
Highest Common Factor
Multiple
Lowest Common Multiple
Prime Number
Composite Number
Twin Prime

2. Worksheet Activities
Student worksheets can be printed prior to lesson. Worksheets aid the presentation.
Checklist (Prior)
Odd & Even Numbers
Factors
Highest Common Factor
Lowest Common Multiple
Prime Numbers
Mix & Match
Checklist (Post)
Keywords/ Definitions

3. Click here for student worksheet.
Can you sort the numbers?
2, 19 , 17, 22, 5, 36, 33, 7, 1, 0, , 77, 89, 64, 1200, 131, 3, 52, 96, 9
ODD
EVEN
Click here for student worksheet.

4. Create your own definition for odd and even numbers
HINT: 2
2, 22, 36, 12, 100, 89, 64, 1200, 52, 96
19, 17, 5, 33, 7, 1, 77, 89, 131, 3, 9

5. True/ False Odd Number + Odd Number = Even Number
A whole number which is not divisible by two. When divided by 2, the answer has a remainder.
19, 17, 5, 33, 7, 1, 77, 89, 131, 3, 9

6. True/ False Even Number + Even Number = Even Number
A whole number which can be divided by 2 with no remainder.
2, 22, 36, 12, 100, 89, 64, 1200, 52, 96

7. Highlight the NATURAL NUMBERS on this number line.
A Natural Number: A positive whole number. Natural numbers are denoted with the capital letter N
Highlight the NATURAL NUMBERS on this number line.

8. Click here for student worksheet.
Using the numbers given, match numbers into pairs that multiply together to give the following products below…
Factors: 5 9 8 12 7 8 3 63 48 36 10 2 6
Click here for student worksheet.

9. Create your own definition for the keyword
Using the numbers given, match numbers into pairs that multiply together to give the following products below…
Factors: 5 9 8 12
Create your own definition for the keyword
FACTOR. 7 3 x 63 48 36 10 x 2 6 x x

10. Factor: A factor of a number divides exactly into that number, leaving no remainder.
TRUE
FALSE
4 is a factor of 20
3 is a factor of 34
1 is a factor of every number
Every number is a factor of itself
Another word for factor is DIVISOR
The factors of 16 are 1,2,4,8,16
3 x 6 is a pair factor of 18

11. 1 is a factor of every number Every number is a factor of itself
TRUE
FALSE
4 is a factor of 20
3 is a factor of 34
1 is a factor of every number
Every number is a factor of itself
Another word for factor is DIVISOR
The factors of 16 are 1,2,4,7,16
3 x 6 is a pair factor of 18
TRUE
FALSE
TRUE
TRUE
TRUE
FALSE
TRUE

12. Factors of 10 are _______________ Factors of 20 are _______________
Represent the above factors on the VENN DIAGRAM below…

13. Hands up you got this VENN DIAGRAM10 1 1 20
Hands up you got this VENN DIAGRAM 5 4 2 5 2 10
Factors of 10
Factors of 20

14. Hands up you got this VENN DIAGRAM1 10 1 20
Hands up you got this VENN DIAGRAM 5 4 2 5 2 10
Factors of 10
Factors of 20

15. Hands up you got this VENN DIAGRAM20 10
Hands up you got this VENN DIAGRAM 1 4 5 2
Factors of 10
Factors of 20

16. Which number is the Highest Common Factor?20 10
The Highest Common Factor (HCF) is the highest factor common to both products. 1 4 5 2
Factors of 10
Factors of 20

17. Highest Common Factor (HCF):
Factors of 56
Factors of 48
Factors of 36
Factors of 81
Factors of 144
1, 2, 4, 7, 8, 14, 28, 56
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
1, 2, 3, 4, 6, 9, 12, 18, 36
1, 3, 9, 27, 81
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1. What is the HCF of 56 and 48?
2. What is the HCF of 48 and 144?
3. What is the HCF of 36, 81 and 144? 4. What is the HCF of 144, 56 and 48?
5. What is the lowest common factor of 56 and 36?
6. TRUE/FALSE – Is the lowest common factor always ONE? 8 48 9 8 1
TRUE
Click here for student worksheet.

18. Multiple: Look at the table and explain what a multiple is.
Multiple: is the number we get when we multiply a given number by a whole number.
Multiple: Look at the table and explain what a multiple is. 1 2 3 4 5 6 7 8 9 10 11 12 14 16 18 20 22 24 15 21 27 30 33 36 28 32 40 44 48 25 35 45 50 55 60 42 54 66 72 49 56 63 70 77 84 64 80 88 96 81 90 99
108
100
110
120
121
132
144
Click here for student worksheet.

19. Click here for student worksheet.1 2 3 4 5 6 8 10 12 9 15 18 16 20 24 25 30 36 7 14 21 28 35 42 32 40 48 27 45 54 50 60 11 22 33 44 55 66 72
Lowest Common Multiple (LCM): The Lowest Common Multiple is the smallest number common in both multiples of a given number.
Q1. What is the LCM of 1 and 2?
Q2. What is the LCM of 4 and 5? Q3. What is the LCM of 3, 5 and 6?
Q4. What is the LCM of 2, 3 and 5?
Q5. What is the LCM of 6 and 8?
Q6. What is the LCM of 8 and 16?
Q7. TRUE / FALSE You always get a common multiple of a pair of numbers by multiplying them together.
Q8. Why have I not asked you to find the Highest Common Multiple yet? 2 20 30 30
Click here for student worksheet.

20. You could be multiplying for quite a while.
Lowest Common Multiple (LCM): The Lowest Common Multiple is the smallest number common in both multiples of a given number.
Q5. What is the LCM of 6 and 8?
Q6. What is the LCM of 8 and 16?
Q7. TRUE / FALSE You always get a common multiple of a pair of numbers by multiplying them together.
Q8. Why have I not asked you to find the Highest Common Multiple yet?
Multiplies of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96
The Lowest Common Multiple (LCM) is 24
Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96
Multiples of 16 = 16, 32, 48, , 64, 80, 96 The Lowest Common Multiple (LCM) is 32
TRUE
You could be multiplying for quite a while.

21. Click here for student worksheet.
Prime Numbers: A number with 2 factors only. Exception: 1 is not a Prime Number. 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
Click here for student worksheet.

22. What is the ONLY even PRIME number between 1 - 100?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
PRIME NUMBERS
COMPOSITE NUMBERS
What is the ONLY even PRIME number between ?

23. eee 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
3 and 5
11 and 13
17 and 19
41 and 43
71 and 73
Identify the Twin Prime Numbers: Two prime numbers have one or two composite numbers between them
PRIME NUMBERS
COMPOSITE NUMBERS

24. Steps to finding the Prime Numbers between 1– 100:
Colour in number 1 as this is NOT a Prime Number.
Number 2 is a Prime Number. Do not colour in number 2. Colour in ALL the multiples of 2. 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
3. Number 3 is a Prime Number Do not colour in number Colour in ALL the multiples of 3.
4. Number 5 is a Prime Number Do not colour in number Colour in ALL the multiples of 5.
5. Number 7 is a Prime Number Do not colour in number Colour in ALL the multiples of 7 .
Note: We are colouring in all the numbers which ARE NOT Prime Numbers. Numbers left uncoloured will be the PRIME NUMBERS

25. Hint: What is a Prime Factor?
With your prime numbers at hand, what do the following numbers have in common? 25 51 77
7 x 11
5 x 5
3 x 17
Hint: What is a Prime Factor?

26. Mix and Match Activity. Access worksheet by clicking on this link:

27. Click here for student worksheet.
Reflection: Review the keywords by completing the table…  
Odd Number
Even Number
Natural Number
Factor
Highest Common Factor
Multiple
Lowest Common Multiple
Prime Number
Composite Number
Twin Prime
Prime Factor
Homework: Students should complete middle section of this sheet.
Click here for student worksheet.

28. Title: Types of Numbers

29. Extension Work
Research the meaning of each keyword below, create a class activity to help explain three of the keywords: Consecutive Number
Perfect Number
Rational Number
Integer
Faction
Decimal
Square Root
Power
Product
Couple, Dozen , Bakers Dozen, Score, 12 Dozen, Gross, Great Gross
Decade, Century, Millennium,
Single, Double, Triple, Quadruple, Quintuple, Hexatruple, Septuple …. Centuple.