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find a counterexample to show that the conjecture is false

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2 Answers

Multiple of 4 is 4n  : { 4,8, 12, 16, 20, 24, .....} 
 
   Multiple of 8 is 8n { 8, 16, 24, 32, ....  }
 
      It is observed that multiple of 8 are divisible by 4
     
      But Multiple of 4 are not only ( 8, 16, 24 , 32 , ..  }
                                                 { 4n}  for n { 2. 4, 6 . ...2n} are divisible by 8   
12
 
Any odd multiple of 4 should work.
 
4(2n+1), n any integer