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You are here: Home / Quant Questions / Arithmetic / Number Properties Problem Solving : Factors

Number Properties Problem Solving : Factors

January 27, 2014 By K S Baskar 2 Comments

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

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Filed Under: Arithmetic Tagged With: factors, GMAT Number Properties, GMAT Number Theory, GMAT Numbers, GMAT Problem Solving

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Comments

  1. Miguel Costa says

    June 1, 2016 at 6:17 pm

    2 factors right?

    They must be 1 and 3.
    Thanks

    Reply
  2. Miguel Costa says

    June 1, 2016 at 6:18 pm

    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?

    Reply

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