Divisibility test for any arbitrary number n

Question

Does there exist any generalised method for devising a test of divisibility for any number.

I have found a method and am interested in doing further research in this area.

I want confirm whether any such method already exists.

Answer 1

There are many special divisibility rules for testing for divisibility by relatively small integers, and there is a generalised divisibility rule of much wider applicability.

Have you found anything which is a significant improvement on the rule given in the Wikipedia article?