Positive integer x has z factors; 3x has 3 factors; Which of the following values can z take?

Positive integer x has z factors; 3x has 3 factors; Which of the following values can z take? I. 1 II. 2 III. 3

Quiz

Answer/Solution

II only holds

Steps/Work

Squares have odd number of factors.The square which is a multiple of 3 is 9.
3 has factors 1,3 .
Therefore 2 factors
Answer C