Question 1192007
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Prove:
if 3 is not divisible by m * n, then 3 is not divisible by m and 3 is not divisible by n
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                    The posted statement is  INCORRECT.



One possible counter-example is  m = 5,  n = 1.


It is true that  3  is not divisible by  m*n = 5*1 = 5,  in this case - - - so the premise is  TRUE.


But the  "then"  statement is  FALSE: 



<pre>
    it is true that 3 is not divisible by 5, 

    but it is FALSE that 3 is not divisible by 1.
</pre>


This counter-example &nbsp;DISPROVE &nbsp;your statement in the post.


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Solved and &nbsp;DISPROVED. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Answered and explained.



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From the first glance on your post it is clear that it is like a sock turned inside out,


and the correct statement must be different - but in this case, &nbsp;I prefer do not discuss 


my suspicions and instead disprove the wrong statement.