The special divisibility rule of 17 is "Take the difference of the rest of the digits and the last digit times 5." For instance:
17
1 - 7 * 5
= 1 - 35
= -34 which is divisible by 17.
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There is no easy rule for divisibility by 34.
By tautology. If it did not work, it would not be a divisibility rule!
What is the divisblity rule by 8
Able to Be Divided
Subtract 5 times the last digit from remaining truncated number. Repeat the step as necessary. If the result is divisible by 17, the original number is also divisible by 17