math

1. L.O: Define and find factors, primes and multiples
STARTER
Using the numbers from the
yellow box, find pairs that
multiply together to give the
totals below (YOU CAN ONLY USE
EACH NUMBER ONCE!):
a) 24 b) 36 c) 8 d) 30
SKILLS REQUIRED TODAY
Multiplication
5 September,
2022
8
3
6
6
4
2
5 6

2. What is a Factor in
MATHS

3. Factor: A number which goes
into another number without
leaving a remainder
How can we make 12?
1 x 12 = 12
2 x 6 = 12
3 x 4 = 12
So, the factors of 12 are…
2 3
1 6 12
4
Your turn…
What are the factors of…
18?
24?
100?
13?
30?
27?
53?
41?
8?

4. Monday, 5 September 2022
Factors
Write down all the factors of…
20
1
2
20
4 5
10

5. Monday, 5 September 2022
Factors
Write down all the factors of…
28
1
2
28
4 7
14

6. Monday, 5 September 2022
Factors
Write down all the factors of…
48
1
2
48
3 16
24
4 12

7. Independent Task
Factor Spiders

8. Monday, 5 September 2022
Factor Spiders Solutions
54
1
2
54
3
18
27
6
9
30
1
2
30
3
10
15
6
5

9. Monday, 5 September 2022
Factor Spiders Solutions
90
1
2
90
3
30 45
6
15
63
1
7
63
9
9
10
3
21

10. Monday, 5 September 2022
Highest Common Factor (HCF)
What is the Highest Common Factor (HCF) of 12 and 18?
12
1
2
12
3
4
6
18
1
2
18
3
6
9
The Highest Common Factor (HCF) of 12 and 18 is 6

11. Monday, 5 September 2022
Highest Common Factor (HCF)
What is the Highest Common Factor (HCF) of 21 and 28?
21
1
3
21
7 28
1
2
28
4
7
14
The Highest Common Factor (HCF) of 21 and 28 is 7

12. Student Task
Highest Common Factor

13. Monday, 5 September 2022
Independent Task - HCF
Find the HCF of the following pairs
36 60
60 144

14. Monday, 5 September 2022
HCF - Solutions
36
1
2
36
3
12 18
60
1
2
60
3
20
30
The Highest Common Factor (HCF) of 36 and 60 is 12
4
9
6
4
15
5
6 10
12

15. Monday, 5 September 2022
HCF - Solutions
144
1
2
144
3
48
72
60
1
2
60
3
20
30
The Highest Common Factor (HCF) of 144 and 60 is 12
4
36
6
4
15
5
6 10
12
24
8
18
9 16 12

16. What is a Prime
Numbers in MATHS

17. Some of those numbers only had two factors.
A Prime Numberis a
number that has exactly two
factors
13, 41 and 53 are three prime numbers.
Which of these numbers are prime numbers?
12 27
3 36 18
7 19 9
11

18. What is the prime numbers of:
30 27
12

19. 10 12 14 15 20 30
28 25 48 56 60 72
Bronze Task
Find the prim numbers of the following:

20. 10 = 2x 5 12 = 2 x 2 x 3
14 = 2 x 7 15 = 3 x 5
20 = 2 x 2 x 5 30 = 2 x 3 x 5
28 = 2 x 2 x 7 25 = 5 x 5
48 = 2 x 2 x 2 x 2 x 3 56 = 2 x 2 x 2 x 7
60 = 2 x 2 x 3 x 5 72 = 2 x 2 x 2 x
2 x 3 x 3
Answers

21. Multiples
Multiples are nice and easy. They are numbers that
appear in the Multiplication Tables of any given number.
For example:
12 27
3 36 18
40 16 9
21
Which of these numbers above are multiples of 4?
Which numbers are multiples of 9?
Which numbers are multiples of 3?

22. Multiple: A number which
appears in the given number’s
MULTIPLication table
3 8
1 16 20
12 15 2
13
24 19
17 36 18
6 4 30
7
• 6 Prime Numbers
• 6 Multiples of 6
• 6 Factors of 24
From these numbers, find me…

23. Factors of
60
Factors of
126
Numbers
less than 13
Numbers
more than
12
Multiples of
5
Prime
Numbers
Odd
Numbers
Square
Numbers
Multiples of
3
Even
Numbers
2
5
1
16 17
6
9 10
18
4
7
3
13 14
8
11 12
15 20 21 45
25 60
30
64

24. I can identify and find Factors,
Multiples and Prime Numbers
I can describe F, M and PN, but
struggle to find them
1
2
I get Factors and Multiples, but
struggle with Prime Numbers
I get confused between Factors
and Multiples
1
2
I got some questions right, but I
don’t really understand how
I don’t understand anything
we’ve covered in this topic
1
2
Choose a
statement that
matches your
ability on this
topic so far