If $x$ is a positive integer greater than $1,$ is $x$ a prime number?

If $x$ is a positive integer greater than $1,$ is $x$ a prime number?

(1) $x$ does not have a factor $p$ such that $2<p<x.$

(2) The product of any two factors of $x$ is greater than $2$ but less than $10.$

Answer: B

Source: GMAT Club Tests

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