asked 61.4k views
1 vote
What is a counterexample for the conjecture conjecture any number that is divisible by 2 is also divisible by 4?

2 Answers

5 votes
counter-example......22

22/2 = 11
22/4 = 5.5
4 votes

Answer:

66 is a counter-example to the given conjecture.

Explanation:

A counter-explample can be defined, in logic, as an exception to the rule, in this case, an example that shows the conjecture is wrong. This method is used to demonstrated a given "function" or statement.

So, we just need to find one case where a number can be divided by 2 but not by 4, which is 66, because


(66)/(2)=33\\(66)/(4)=16.5

Therefore, the conjecture is wrong, because there's a case where a number can be divided by 2 but not by 4.

answered
User Martin Ellis
by
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