$(1\mathrm{.}5$ marks$)$ The Super Froogle Theorem states that for all even numbers $x0,$ there exists a

froogle $y$ such that $y$ is divisible by $(x+F{)}^2,$ where $F$ is the Super Froogle number.

You believe the Super Froogle Theorem is preposterous and want to disprove it using a coun$-$

terexample, which is a number we will call $z.$ What properties does $z$ need to satisfy?