Double the last digit and subtract the last digit from the remaining digits.
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By tautology. If it did not work, it would not be a divisibility rule!
If a number is divisible by 5 and 7, it's divisible by 35.
What is the divisblity rule by 8
There is no easy rule for divisibility by 34.
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.