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What is the smallest multiple of 72, where every digit is 0 or 1?

 Nov 23, 2019
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 \(2^x=72y\)                 where x and y are integers.

 

I don't think there is one....

 

\(72=9*8=2^3+3^2 \)

 

\(2^x=72y \)

 

the prime factors on the left side is just 2 and on the right side it is 2 and 3

I do not think any integer answers are possible.....                                                                                                                          

 Nov 23, 2019

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