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Mathematics Grade 8
Numbe
r
Divisibility Test Example
2 A number is divisible by 2 if
the last digit is 0, 2, 4, 6, 8
(even number)
E.g. 168 is Divisible by 2 since the
last digit is 8
3 A number is divisible by 3 if
the sum of the digits is
divisible by 3.
E.g. 168 is divisible by 3 since 1 + 6
+ 8 = 15 and 15 is divisible by 3
5 A number is divisible by 5 if
the last number is either 0 or 5
E.g. 195 is divisible by 5 since the
last digit is 5
10 A number is divisible by 10 if
the last digit is 0
E.g. 1470 is divisible by 10 since the
last digit is 0
What Number between 2, 3, 5 and
10 can divide into the following
Numbers
1. 28
2. 130
3. 120
4. 45
 Lets Start With 2
 What does the rule say?....
Yes We can Divide
28 ÷ 2 = 14
Lets Go to 3 lets go to 5 and 10?
2 + 8 = 10 and its even
No it can not
 Lets Start With 2
 What does the rule say?....
 Is zero an even number?
Yes We can Divide
130 ÷ 2 = 65
 Lets Go to 3 lets go to 5 and 10?
1 + 3 + 0 = 4 and its even
 No it can not
 Lets Start With 2
 What does the rule say?....
 Is zero an even number?
Yes We can Divide
120 ÷ 2 = 60
Lets Go to 3 lets go to 5 and 10?
1 + 2 + 0 = 3 and 3 can divide 3
Yes We can Divide
120 ÷ 3 = 40
 Lets Start With 2
 What does the rule say?....
No We can not Divide
45 ÷ 2 = 22.5
Lets Go to 3 lets go to 5 and 10?
4 + 5 = 9 and 3 can divide 9
Yes We can Divide
Rules of divisibility

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Rules of divisibility

  • 2. Numbe r Divisibility Test Example 2 A number is divisible by 2 if the last digit is 0, 2, 4, 6, 8 (even number) E.g. 168 is Divisible by 2 since the last digit is 8 3 A number is divisible by 3 if the sum of the digits is divisible by 3. E.g. 168 is divisible by 3 since 1 + 6 + 8 = 15 and 15 is divisible by 3 5 A number is divisible by 5 if the last number is either 0 or 5 E.g. 195 is divisible by 5 since the last digit is 5 10 A number is divisible by 10 if the last digit is 0 E.g. 1470 is divisible by 10 since the last digit is 0
  • 3. What Number between 2, 3, 5 and 10 can divide into the following Numbers 1. 28 2. 130 3. 120 4. 45
  • 4.  Lets Start With 2  What does the rule say?.... Yes We can Divide 28 ÷ 2 = 14 Lets Go to 3 lets go to 5 and 10? 2 + 8 = 10 and its even No it can not
  • 5.  Lets Start With 2  What does the rule say?....  Is zero an even number? Yes We can Divide 130 ÷ 2 = 65  Lets Go to 3 lets go to 5 and 10? 1 + 3 + 0 = 4 and its even  No it can not
  • 6.  Lets Start With 2  What does the rule say?....  Is zero an even number? Yes We can Divide 120 ÷ 2 = 60 Lets Go to 3 lets go to 5 and 10? 1 + 2 + 0 = 3 and 3 can divide 3 Yes We can Divide 120 ÷ 3 = 40
  • 7.  Lets Start With 2  What does the rule say?.... No We can not Divide 45 ÷ 2 = 22.5 Lets Go to 3 lets go to 5 and 10? 4 + 5 = 9 and 3 can divide 9 Yes We can Divide