mattwohlers3 mattwohlers3
  • 01-03-2018
  • Mathematics
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What is a counterexample for the conjecture? Any number that is divisible by four is also divisible by eight

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jimthompson5910 jimthompson5910
  • 01-03-2018
The value 12 is a good counterexample. It is divisible by 4 (since 12/4 = 3 is a whole number with no remainders or decimal portions) but 12 is not divisible by 8 (note how 12/8 = 1 remainder 4 = 1.5)

To find other examples, add 8 to 12 to get 20. Then add on 8 more to get 28. This pattern continues on forever. 
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