find a counterexample to show that the conjecture is false

Question

Any number that's is divisible by 4 is divisible by 8

Answer 1

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   

Answer 2

12

 

Any odd multiple of 4 should work.

 

4(2n+1), n any integer