The user-friendly version of this content is available here.

The following content is copyright (c) 2009-2013 by Goods of the Mind, LLC.

This problem trains for: SAT-I, AMC-8.

If

what is the remainder when a is divided by 697?

697 factors as:

Both 17 and 41 are factors of 102!. Therefore, the remainder when a is divided by 697 is the same as the remainder when dividing 801 and 697.