Digital Divisibility Tests - From Carlos Rivera's Prime Puzzles and Problems collection. Carlos asks for the general divisibility rules for any prime number. - http://www.primepuzzles.net/puzzles/puzz_101.htm
Divisibility Tests - From the Furman University Electronic Journal of Undergraduate Mathematics. Apoorva Khare's paper is available as an abstract, DVI, and PostScript. - http://math.furman.edu/~mwoodard/fuejum/textv/volume3text.html
Explaining the Divisibility Rules - Proof of the elementary division rules, plus some lesser-known rules for larger divisors and other bases. - http://mathforum.org/k12/mathtips/ward.html
Divisibility War - A card game to teach divisibility rules. - http://edweb.sdsu.edu/courses/edtec670/Cardboard/card/d/Divisibility.html
Divisibility Criteria - Ways of telling whether one number divides another without actually carrying the division through, constructed here in terms of the digits of the number. - http://www.cut-the-knot.com/blue/divisibility.html