Patterns And Relations Worksheet - Grade 7 Page 8
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46We can use divisibility rules to find the factors of a number, such as 100.
Any number is divisible by 1 and itself,
so 1 and 100 are factors of 100.
100
1
100
100 is even, so 100 is divisible by 2.
100
2
50
We know 100 is divisible by 4.
100
4
25
The ones digit is 0, so 100 is divisible
100
5
20
by 5 and by 10.
100
10
10
100 is not divisible by 3, 6, 8, or 9.
The factors of 100, from least to greatest, are:
1, 2, 4, 5, 10, 20, 25, 50, 100
Factors occur in pairs.
When we find one factor of a number, we also find a second factor.
A whole number cannot be divided by 0.
We cannot take a given number and share it into zero equal groups.
We cannot make sets of zero from a given number of items.
Example
Edward has 16 souvenir miniature hockey sticks.
He wants to share them equally among his cousins.
How many sticks will each cousin get if Edward has:
a) 8 cousins?
b) 0 cousins?
Explain your answer to part b.
A Solution
a ) There are 16 sticks. Edward has 8 cousins.
16
8
2
Each cousin will get 2 sticks.
b) There are 16 sticks. Edward has no cousins.
16 sticks cannot be shared equally among no cousins.
This answer means that we cannot divide a number by zero.
We cannot divide 16 by 0 because 16 cannot be shared
into zero equal groups.
11
1.2 More Patterns in Division
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