How do you factor numbers like 10001 without a calculator?

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[SOLVED] factoring a number

Homework Statement


Is there a trick to factoring numbers of the form 1000...0001?
For example, how would you get 10001=73*137 without a calculator?


Homework Equations





The Attempt at a Solution

 
seems so:

http://home.earthlink.net/~usondermann/binary.html
 
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