Divisibility Rule Of the "3" and its powers

Divisibility Rule of 3:

When a number is divisible by " 3 " then the sum of the all the digits must be divisible by 3

For Example(1), 93 

            In the above number, there are two digits 9and 3

the sum of the two digits 3+9=12 and  check whether sum is divisible 3 r not Clearly, the sum 12 is divisible by 3 then 93 is divisible by 3

        (2) 123456789

                  In the above number, there are 9 digits 

the sum of all the digits  1+2+3+4+5+6+7+8+9=45

45 is divisible by 3 then the whole number is divisible by 3

For the powers of " 3 " 
3^2=9, if the sum of the digits  divisible by 9 then the whole number is divisible by 9
3^3=27, if the sum of the digits divisible by 27 then the whole number is divisible by 27
For Example:    585 
sum of the 585 is 5+8+5=18 
We know 18 is divisible by 9 then the number 585 is divisible by 9

                       
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