Factors of Numbers

MAT 2018 · Mathematical Skills · Easy · Number System

xx is a whole number. If the only common factors of xx and x2x^2 are 11 and xx, then xx is ___.

  1. A.

    1

  2. B.

    a perfect square

  3. C.

    an odd number

  4. D.

    a prime number

Answer

D

Explanation

The common factors of xx and x2x^2 are simply all the factors of xx. If the only factors of xx are 11 and xx itself, then by definition xx must be a prime number.

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