Here is an interesting GMAT number property problem solving question. Concept tested : number of factors.
Integer x has n factors; 3x has 3 factors; Which of the following values can n take?
I. 1
II. 2
III. 3
A. I only
B. II only
C. I or II
D. II or III
E. I or III
Miguel Costa says
2 factors right?
They must be 1 and 3.
Thanks
Miguel Costa says
Hi,
Could you please help me out on this exercise?
My thinking below:
If 3x has exactly 3 factor (we dont know if they are distinct factors) it has necessarily 1;x;3;3x has factors, which implies that x=3.
Considering this, 3 has 2 factors : 1 and 3, itself.
So the answer must be 2 factors. right?