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Divisibility Test

Divisible by
If:
Examples:
2
The last digit is even i.e. 0,2,4,6,8
238---Yes
145----No
3
The sum of the digits is divisible by 3
384 [3+8+4=15, and 15÷3 = 5]---------- Yes
227 [2+2+7=11, and 11÷3 = ]
Not Divisible by 3
4
The number formed by its last 2 digits is divisible by 4
1452 is [52÷4=13]
Yes
2322 is [22÷4=]
Not
5
The last digit is 0 or 5
145 ---Yes
706 -----Not
6
The number that is even, divisible by both 2 and 3
114 (it is Even, and 1+1+4=6 and 6÷3 = 2) -----Yes

308 (it is Even, but 3+0+8=11 and 11÷3 = 3 2/3) ---No
8
The number formed by its last three digits is divisible by 8
109832 [832÷8=104] 
------Yes
216302 [302÷8=37 ¾] 
------No
9
The sum of the digits is divisible by 9

1629 [1+6+2+9=18]
------Yes
2013 [2+0+1+3=6] 
-------No
10
The last digit of number is 0
440
----- Yes
224
-----No
11
The difference between the sum of its digits at odd places and the sum of its digits at even places is either 0 or divisible by 11
1386 [(3+6) - (1+8) = 0] ---Yes
3729 [(7+9) - (3+2) = 11]---Yes
25173 ((5+7) - (2+1+3) = 6)
----No

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