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Suppose a 7-digit number has digits (left to right). Why can we check if is divisible by 7 by checking whether?

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MCQs on Elementary Number Theory.


Suppose a 7-digit number has digits<br><img src='https://www.fatskills.com/images2/GradExams/51E36A55-B760-4E59-8D20-8FC236B3FF82.png' height='13' width='96'/> (left to right). Why can we check if<br><img src='https://www.fatskills.com/images2/GradExams/D5CB28DE-1145-45E9-B522-4D7C3C17CA11.png' height='10' width='10'/> is divisible by 7 by checking whether<br><img src='https://www.fatskills.com/images2/GradExams/B6F75345-1F28-4491-9B08-E4FADD188D05.png' height='18' width='278'/>?





 
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