To divide is to perform the operation of Division, i.e., to see how many times a Divisor goes into another
number . divided by is written or . The result need not be an Integer, but if it is, some
additional terminology is used. is read `` divides '' and means that is a Proper Divisor of . In
this case, is said to be Divisible by . Clearly, and . By convention, for every except 0
(Hardy and Wright 1979). The ``divided'' operation satisfies

is read `` does not divide '' and means that is not a Proper Divisor of . means divides exactly.

**References**

Hardy, G. H. and Wright, E. M. *An Introduction to the Theory of Numbers, 5th ed.*
Oxford, England: Clarendon Press, p. 1, 1979.

© 1996-9

1999-05-24