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Let k be the largest integer such that 343/7^k is an integer. What is the remainder when 343/7^k  is divided by 7?

 Jul 21, 2022
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Let k be the largest integer such that 343/7^k is an integer. What is the remainder when 343/7^k  is divided by 7?  

 

The value of k = 3.  This is because 73 is 343, therefore 343/73 = 1. 

 

If the exponent is any value larger than 3, then the quotient is less than 1. 

 

I don't understand what the second part of the question is asking for.  Sorry. 

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 Jul 21, 2022
edited by Guest  Jul 21, 2022

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