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Re: M20-02. If x is a prime number, what is the greatest factor [#permalink]
23 May 2014, 08:57
If x is a prime number, what is the greatest factor of x^2?
Note that the greatest factor of a positive integer is that positive integer itself. For example the greatest factor of 10 is 10 itself. So, basically we should find the value of x to answer the question.
(1) x^2 is an odd number. This statement just tells us that x could be any prime but 2, so it's clearly insufficient to determine the single numerical value of x.
(2) The greatest common factor of x and 6 is 3. Since x is a prime number then x=3 (no other prime can have 3 as a factor), so the greatest factor of x^2=9 is 9. Sufficient,