Below are the shortcut to GET number is divisible by the particular digit or not . And there rules with some good examples

(1)Divisible by 2
Rule:-Last digit is even(0,2,4,6,8)
Example:-128,120,134 last digit is 8,0,4

(2)Divisible by 3
Rule:-The SUM of digit should be divisible by 3
Example:-684 (6+8+4=18/3) yes

(3)Divisible by 4
Rule:-Last 2 digit should be divisible by 4
Example:-1416 (16/4) yes

(4)Divisible by 5
Rule:-Last digit should be 0 or 5
Example:-185,190 yes last digit is 5,0

(5)Divisible by 6
Rule:-Sum of digit should be divisible by 2,3
Example:-1104=1+1+4=6/2=6/3

(6)Divisible by 7
Rule:-double last digit and subtract from left numberthen divide by 7 should be done
Example:-679=9*2=18=67-18=49/7 yes

(7)Divisible by 8
Rule:-Last 3 digit are divisible by 8
Example:-816/8 = yes

(8)Divisible by 9
Rule:-Sum of digit is divisible by 9
Example:-1638 =1+6+3+8=18/9 = yes

(9)Divisible by 10
Rule:-number end with 0
Example:-100,1100,2320= yes

(10)Divisible by 11
Rule:-Sum of every 2nd digit and subract the rest digit
Example:-1375=(3+5)-(1+7)=0 yes or 3740 =(7+0)-(3+4)=0

(11)Divisible by 12
Rule:-sum of digit of Number should be divisible by 3,4
Example:-660=(6+6+0)=12=12/3,12/4 yes