No, they aren't.
ww.mathwarehouse.com/arithmetic/numbers/divisibility-rules-and-tests.php#divisibilityBy2
No. Here's a way to find out if a number is divisible by 3: Add the digits. If that is divisible by 3 so is the number.
Examples:
111 ~ 1+1+1 = 3 so 111 is divisible by 3.
113 ~ 1+1+3 = 5 so 113 is not divisible by 3