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Some Rules on Counting Numbers :

Divisibility Rules (Basic and Advanced )
Divisibility by 2 : A number is divisible by 2, if the last digit is even.
Divisibility by 3 : A number is divisible by 3, if the sum of its digit is divisible by 3.
for example, 91551, sum of digits = 9+1+5+5+1= 21, 21 is divisible by 3. So 91551 is also divisible by 3.
Divisibility by 4 : A number is divisible by 4, if the last two digits are divisible by 4.
Divisibility by 5 : A number is divisible by 5, if the last digit is either 0 or 5.
Divisibility by 6 : A number is divisible by 6, if it is simultaneously divisible by 2 and 3 both.
Divisibility by 8 : A number is divisible by 8, if the last three digits are divisible by 8.
Divisibility by 9 : A number is divisible by 9, if sum of its digit is divisible by 9.
Divisibility by 10 : A number is divisible by 10, if the last digit is 0.

Any digit repeated 6 times will be always divisible by 3,7,11,13,37
for example : 111111, 222222, 444444, 666666, etc. are always divisible by 3,7,11,13, 37.
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