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GRADE 7
Name:
The factors of a number are all of the numbers that divide into that number.
These are the
factors of 6.
They can divide
into 6.
F6 = {1 ;2 ; 3 ;6}
this is the set of factors of 6.
When comparing the factors of different numbers there will be common factors:
F12 = {1 ; 2 ; 3 ; 4 ; 6 ; 12 }
F18 = {1 ; 2 ; 3 ; 6 ; 9 ; 18}
The common factors of 12 and 18 = {1 ; 2 ; 3 ; 6}
The Highest Common Factor (HCF) is 6
Answer the questions below, write the answers in your class workbook.
1) List all of the factors of the following numbers:
a. 12
e. 49
c. 24
g. 81
b. 16
d. 40
i. 100
f. 64
j. 1
h. 75
2) Find the Highest Common Factor of the following numbers:
a. 4 and 8
b. 4 and 30
c. 24 and 18
d. 24 and 42
e. 12 and 42
f. 4 ; 8 and 12
g. 2 ; 3 and 12
© e-classroom 2014 www.e-classroom.co.za
Grade 7 Term 2 - Mathematics: Numbers, operations and relationships; Common Fractions
Factors
GRADE 7
4) What is a prime number?
5) Find the factors of the following numbers and indicate whether they are prime
numbers or composite numbers:
Number
1
2
3
13
5
10
7
3
2
4
6
8
6
15
8
12
11
11
12
Composite?
9
9
10
Prime or
Factors
24
23
© e-classroom 2014 www.e-classroom.co.za
Grade 7 Term 2 - Mathematics: Numbers, operations and relationships; Common Fractions
3) What is a composite number?
Answer the questions below, write the answers in your class workbook.
1) List all of the factors of the following numbers:
a. 12
F 12 = 1, 2, 3, 4, 6, 12
c. 24
F24 = 1, 2, 3, 4, 6, 8, 12, 24
b. 16
d. 40
e. 49
f. 64
g. 81
h. 75
F16 = 1, 2, 4, 8, 16
F40 = 1, 2, 4, 5, 8, 10, 20, 40
F49 = 1, 7, 49
F64 = 1, 2, 4, 8, 16, 32, 64
F81 = 1, 9,
3, 81
9, 27,81
F75 = 1, 3, 5, 15, 25, 75
i. 100 F100 = 1, 2, 4, 5, 10, 20,
25, 25
20, 50, 100
3, 6,
4, 8,
6, 9,
8, 12,
9, 12,
j. 144 F144 = 1, 2, 4,
16,16,
18,18,
24,24,
36, 36,
72, 48,
14472, 144
2) Find the Highest Common Factor of the following numbers:
a. 4 and 8
HCF = 4
c. 24 and 18
HCF = 6
b. 24 and 30
d. 24 and 42
e. 12 and 42
f. 4 ; 8 and 12
g. 2 ; 3 and 12
HCF = 6
HCF = 6
HCF = 6
HCF = 4
HCF = 1
3) What is a composite number? A number that has more than two factors
4) What is a prime number?
A number that only has two factors; 1 and itself
© e-classroom 2014 www.e-classroom.co.za
Grade 7 Term 2 - Mathematics: Numbers, operations and relationships; Common Fractions
GRADE 7
Answer sheet
Number
Factors
Prime or
Composite?
1
2
1, 2
Prime
3
13
5
10
1, 2, 5, 10
7
3
1, 3
2
4
6
8
9
1, 3, 9
Composite
6
1, 2, 3, 6
Composite
1, 3, 5, 15
Composite
15
8
Composite
Prime
Composite
24
1, 2, 3, 4, 6, 8, 12, 24
Composite
23
1, 23
12
11
11
12
Prime
1, 2, 4, 8
9
10
1, 13
1, 2, 3, 4, 6, 12
Composite
1, 11
© e-classroom 2014 Prime
Prime
www.e-classroom.co.za
GRADE 7
Grade 7 Term 2 - Mathematics: Numbers, operations and relationships; Common Fractions
5) Find the factors of the following numbers and indicate whether they are prime
numbers or composite numbers: