If $x$ represents the number of positive factors of integer $y,$ is $x$ odd?

If $x$ represents the number of positive factors of integer $y,$ is $x$ odd?

(1) $y = n!$ where $n$ is a positive integer greater than $1.$
(2) $y = m^2 - 1$ where $m$ is a positive integer greater than $1.$

Answer: D

Source: Veritas Prep

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