
Glossary: Prime Pages: Top 5000: 
We say one integer divides another if it does so evenly, that is with a remainder of zero (we sometimes say, "with no remainder," but that is not technically correct).
More formally, mathematicians write:
If a and b are integers (with a not zero), we say a divides b if there is an integer c such that b = ac.We use this concept enough that it has its own symbols: The integers that divide a are called the divisors of a. You might want try your hand at proving the following basic properties which hold for all integers a, b. c and d:
See Also: GCD, Prime, RelativelyPrime
Chris K. Caldwell © 19992015 (all rights reserved)
