(a) Use the fact that 7 divides 1001 to find your own rule of 7. Use your...

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(a) Use the fact that 7 divides 1001 to find your own "rule of 7." Use your rule to work out the remainder when 6005004003002001 is divided by 7.

(b) 13 also divides 1001 . Use this to get a rule of 13 and find the remainder when 6005004003002001 is divided by 13 .

(c) Use the observation that $27 \times 37=999$ to work out a rule of 37 , and find the remainder when 6005004003002001 is divided by 37 .

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A Concise Introduction To Pure Mathematics

ISBN: 9781498722926

4th Edition

Authors: Martin Liebeck

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Question Posted: May 20, 2024 09:01 AM

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(a) Use the fact that 7 divides 1001 to find your own rule of 7. Use your...

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A Concise Introduction To Pure Mathematics

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