1. ***Don't understand the NOTATION***

I am tackling a number theory problem and there is the notation

" a | ab "

*** divided into ***... is my guess but I don't know clearly.

If anybody knows, please tell me what the notation means.

A simple example using this notation will help a lot!!!

2. a or ab

.

3. This notation comes a number theory problem so the "or" meaning of the "|" does't quite make sense here.

The whole problem goes
- Show that if a and b are relatively prime, then (1+ab)|(a^2 + b^2)

Its a problem from the American Monthly...

4. Try "for". However, this still might not make sense. The then part of the statement needs to be a complete sentence, but it is not.

5. In this context "x | y" means "x divides y". Thus it is true that 2 | 6, 3 | 6 and 6 | 6 but false that 5 | 6. (It is also used for the logical or operator).