Hi Friends, With this presentation where you can find out whether the number in your question is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19 & 20 or not in a very easy way. One Stop Learning Station developed with an objective of connecting the dots to ascertain knowledge that could lead you to a differentiating source of competitive advantage in today's world after going through the expansive information sources e.g. CBSE study Material, various Books, Guides, Notes, and assignments to answer your queries. So if you are a Knowledge seeking person then follow and subscribe us Twitter: https://twitter.com/EschoolMaths Facebook: https://www.facebook.com/eschool.maths

1. 1
DIVISIBILITY
RULES

2. Number Systems
2
Lets Begin…

3. 9
8
2 0
Ones
Tens
Hundreds
ThousandsNumber Systems
3
Numbers having ones place digit equal to
0, 2, 4, 6, 8.2
DIVISIBILITY by
For Example: If you want to check whether 9820 is divisible by 2 or
not then as per above rule you have to find the digit at its ones place.
In 9820, 0 is at the ones place. Hence 9820 is divisible by 2.

4. Number Systems
4
If the sum of all the digits in a given number is
divisible by 3.3
DIVISIBILITY by
For Example: If you want to check whether 9820 is divisible by 3 or
not then as per above rule you have to find the sum of its digits i.e.
9 + 2 + 8 + 0 = 19. Now when we divide 19 by 3, you will find that 19
is not divisible by 3. Hence 9820 is not divisible by 3.
9 082

5. Number Systems
5
If the number formed by last two digits of a given
number is divisible by 4.4
DIVISIBILITY by
For Example: If you want to check whether 9820 is divisible by 4 or
not then as per above rule you have to find out the number formed by
last two digits i.e. digits at ones and tens place. In case of 9820, the
number is 20 and it is divisible by 4. Hence 9820 is divisible by 4.
9 8
2 0
Ones
Tens

6. Number Systems
6
Number having 0 or 5 at its ones place.5
DIVISIBILITY by
For Example: If you want to check whether 9820 is divisible by 5 or
not then as per above rule you have to find out the digit at ones place.
In case of 9820, the digit at ones place is 0.
Hence 9820 is divisible by 5.
9 8 2
 0

7. Number Systems
7
Number divisible by both 2 & 3.6
DIVISIBILITY by
For Example: If you want to check whether 9820 is divisible by 6 or
not then as per above rule the 9820 is divisible by 2 but not with 3.
Hence , 9820 is not divisible by 6.
9 8 2 0

8. Number Systems
8
A number is divisible by 7 wherein the difference
between the number formed by digits except the
last digit and the twice of last digit of the given
number is either multiple of 7 or 0 .
7
DIVISIBILITY by
For Example: If
you want to
check whether
9820 is divisible
by 7 or not then
as per above
rule:-
9
8
2 0 9
8
2 0=
- X 2
9
8
2= ÷ 7 No
Hence 9820 is not divisible by 7.

9. 9
A number is divisible by 8 if the number formed
by its last three digits is divisible by 8.8
DIVISIBILITY by
For Example: If you want to check whether 9820 is divisible by 8 or
not then as per above rule:-
The number formed by last three digits i.e. 820 is divisible by 8.
Hence 9820 is divisible by 8.
9  8  2
 0
Number Systems

10. 10
If the sum of all the digits in a given number is
divisible by 9.9
DIVISIBILITY by
For Example: If you want to check whether 9820 is divisible by 9 or
not then as per above rule you have to find the sum of its digits i.e.
9 + 2 + 8 + 0 = 19. Now when we divide 19 by 9, you will find that 19
is not divisible by 9. Hence 9820 is not divisible by 9.
9 082
Number Systems

11. 11
9
8
2 0
Ones
Tens
Hundreds
Thousands
Numbers having 0 at ones place .10
DIVISIBILITY by
For Example: If you want to check whether 9820 is divisible by 10 or
not then as per above rule you have to find the digit at its ones place.
In 9820, 0 is at the ones place, Hence, 9820 is divisible by 10.
Number Systems

12. 12
If in a number ,
(Sum of digits at even place) – (Sum of digits at odd place)
Is equal to 0 or divisible by 11.
11
DIVISIBILITY by
For Example: If you want to check whether 9820 is divisible by
11 or not then as per above rule :-
(9+2) –(8+0)= (11) – (8)
= 3
Hence 9820 is not divisible by 11.
Number Systems
9
8
2 0
Odd
Even
Odd
Even

13. 13
Number divisible by both 3 & 4.12
DIVISIBILITY by
For Example: If you want to check whether 9820 is divisible by 12 or
not then as per above rule the 9820 is divisible by 4 but not with 3.
Hence , 9820 is not divisible by 12.
9 8 2 0
Number Systems

14. 14
Number Systems
A number is divisible by 13 wherein the sum of
the number formed by digits except the last digit
and the four times the last digit of the given
number is either multiple of 13.
13
DIVISIBILITY by
For Example: If you want to check whether 9820 is divisible by 13 or
not then as per above rule:-
9820 = 982 + (0 x 4)
982 = 98 + (2 x 4) = 98 + 8 = 106
106 = 10 + (6 x 4) = 10 + 24 = 34
34 is not divisible by 13. Hence 9820 is not divisible by 13.

15. 15
Number divisible by both 2 & 7.14
DIVISIBILITY by
For Example: If you want to check whether 9820 is divisible by 2 or
not then as per above rule the 9820 is divisible by 2 but not with 7.
Hence , 9820 is not divisible by 14.
9 8 2 0
Number Systems

16. 16
Number divisible by both 3 & 5.15
DIVISIBILITY by
For Example: If you want to check whether 9820 is divisible by 15 or
not then as per above rule the 9820 is divisible by 5 but not with 3.
Hence , 9820 is not divisible by 15.
9 8 2 0
Number Systems

17. 17
Number whose last four digits are divisible by 16.16
DIVISIBILITY by
For Example: If you want to check whether 9820 is divisible by 16 or
not then as per above rule:-
9820 is a number with four digits is not divisible by 16.
Hence , 9820 is not divisible by 16.
9 8 2 0
Number Systems

18. 18
Number Systems
A number is divisible by 17 wherein the
difference between the number formed by digits
except the last digit and the five times the last digit
of the given number is either multiple of 17.
17
DIVISIBILITY by
For Example: If you want to check whether 9820 is divisible by 17 or
not then as per above rule:-
9820 = 982 - (0 x 5)
982 = 98 - (2 x 5) = 98 + 10 = 108
108 is not divisible by 17. Hence 9820 is not divisible by 17.

19. 19
Number Systems
Number divisible by 9 and also having last digit
equal to 0 or any even number.
18
DIVISIBILITY by
For Example: If you want to check whether 9820 is divisible by 18 or
not then as per above rule:
9820 is not divisible by 9.
Hence , 9820 is not divisible by 18.
9 8 2 0

20. 20
Number Systems
A number is divisible by 19 wherein the sum of
the number formed by digits except the last digit
and the four times the last digit of the given
number is either multiple of 19.
19
DIVISIBILITY by
For Example: If you want to check whether 9820 is divisible by 19 or
not then as per above rule:-
9820 = 982 + (0 x 2)
982 = 98 + (2 x 2) = 98 + 4 = 102
102 is not divisible by 19. Hence 9820 is not divisible by 19.

21. 21
Number Systems
Number divisible by 10 or last two digits of a
number divisible by 20.
20
DIVISIBILITY by
For Example: If you want to check whether 9820 is divisible by 20 or
not then as per above rule:-
9820 is divisible by 10 and also the number formed with last two
digits is 20 which is also divisible by 20.
Hence , 9820 is divisible by 20.
9 8 2 0

22. 22
One Stop Learning Station developed with an objective of connecting
the dots to ascertain knowledge that could lead you to a differentiating
source of competitive advantage in today's world after going through
the expansive information sources e.g. CBSE study Material, various
Books, Guides, Notes, and assignments to answer your queries.
So if you are a Knowledge seeking person then follow and subscribe us
Twitter: https://twitter.com/EschoolMaths
Facebook: https://www.facebook.com/eschool.maths