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Grade 7
Factors and Multiples ANSWERS
1.
Write down the factors of the given numbers:
F2 : 1 , 2
F8 : 1 , 2 , 4 , 8
F9 : 1 , 3 , 9
F12 : 1 , 2 , 3 , 4 , 6 , 12
F17 : 1 , 17
F24 : 1 , 2 , 3 , 4 , 6 , 8 , 12 , 24
F25 : 1 , 5 , 25
a) Which numbers above have 2 different factors only? 2 , 17. These numbers are
called Prime Numbers.
b) Which numbers above have 3 different factors only? 9 , 25 .These numbers are
called Square Numbers.
c) Which numbers above have 3 or more different factors? 8 , 9 , 12 , 24 , 25 . These
numbers are called Composite Numbers.
2.
Write down the factors of the given numbers:
F20 : 1 , 2 , 4 , 5 , 10 , 20
F28 : 1 , 2 , 4 , 7 , 14 , 28
The ____ number in both answers is 4. This number is referred to as the Highest
Common Factor of 20 and 28.
F10 : 1 , 2 , 5 , 10
F36 : 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36
The ____ number in both answers is 2. This number is referred to as the Highest
Common Factor of 10 and 36.
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3.
Write down the first 5 multiples of the given numbers:
M4 : 4 , 8 , 12 , 16 , 20
M6 : 6 , 12 , 18 , 24 , 30
The _____ number in both answers is 12. This numbers is referred to as the Lowest
Common Multiple of 4 and 6.
M3 : 3 , 6 , 9 , 12 , 15
M5 : 5 , 10 , 15 , 20 , 25
The _____ number in both answers is 15. This numbers is referred to as the Lowest
Common Multiple of 4 and 6.
4.
5.
A shop sells bicycles and tricycles. It has 12 cycles in total in stock at present. The owner
counts the number of wheels and gets 27 wheels. How many tricycles are in the shop?
M2 : 2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , 18 - 18 wheels , 9 Cycles
Hence 27 wheels
M3 : 3 , 6 , 9
and 12 cycles
- 9 Wheels , 3 Cycles
Two athletes are training for a marathon. They start together at point S. One athlete does
Square track A and other Rectangular track B. They run at the same speed. If they start
training at the same time, after how many kilometres will they next both meet back at
point?
4 Km
A
S
3 Km
B
2 Km
M16 : 16 , 32 , 48 , 64 , 80 , 96 , 112 ……
M10 ; 10 , 20 , 30 , 40 , 50 , 60 , 70 , 80 , 90 …… They will meet after 80 Km’s
Bodill Education
[email protected]
www.boded.co.za
0828770300