It's often useful to know whether one number is evenly divisible by another number. Here are some tricks that go beyond knowing whether a number is odd or even, or divisible by 10.
Concrete ideas to modify and expand this hack go here.
Freeform discussion of this hack goes here.
Errata go here.
This is a page for a hack from the book MindPerformanceHacks by Ron Hale-Evans.