for every grade

1. Chapter – Playing With Numbers
“Learning DivisibilityTests”
Presentation by:

2. DivisibilityTest By: 2
•A number is divisible by 2, if it has any
of the digits 0,2,4,6,8 at its ones place.
•Any Even Number (NumbersThat
End In 0, 2, 4, 6, Or 8) Is Divisible By 2.
•Example: 36, 48, 12, 16

3. DivisibilityTest By: 3
•If the sum of the digits is a multiple of
3, then it is divisible by 3.
•Example: 36 = 3+6 = 9
Since, 9 is a multiple of 3, the number
is divisible by 3

4. DivisibilityTest By: 4
•A number with 3 or more digits is
divisible by 4, if the number formed by
its last 2 digits. (i.e. ones & tens) is
divisible by 4.
•Example: 236
Since, 36 is divisible by 4, the number
“236” is divisible by 4

5. DivisibilityTest By: 5
•A number which has ‘0’ or ‘5’ in its
ones place then it is divisible by 5
•Example: 25, 40, 220, 455

6. DivisibilityTest By: 6
•If a number is divisible by 2 & 3 both
then it is also divisible by 6.
•Example: 36
Since,‘36’ is divisible by ‘2’ as well as
‘3’, the number is divisible by 6.

7. DivisibilityTest By: 8
•A number with 4 or more digits is
divisible by 8, if the number formed by
the last three digits is divisible by 8.
•Example: 675432
Since,‘432’ is divisible by ‘8’, the
number is divisible by 8.

8. DivisibilityTest By: 9
•If the sum of the digits of the number
itself is divisible by ‘9’, the number is
divisible by 9.
•Example: 9936 = 9+9+3+6 = 27
Since, 27 is a multiple of 9, the number
is divisible by 9

9. DivisibilityTest By: 10
•If the number has ‘0’ in the one’s
place, then the number is divisible by
10.
•Example: 10, 350, 5780

10. DivisibilityTest By: 11
•If the difference of sum of numbers at
odd places and the sum of numbers at
even places is either ‘0’ or is multiple
of ‘11’, then the number is divisible by
eleven
•Example: 21123344
•Odd: 2+1+3+4 = 11
•Even: 1+2+3+4 = 11
Difference = 11-11 = 0, the number is
divisible by 11.

11. LET’S DO A
QUICK RECAP!

12. Let’s do some practice
Number: 10824
Check divisibility by: 2,3,5,11

13. Thank you!
SubjectTeacher –