Question Is it possible to solve the following congruence $584= 0\bmod x^2$ which is meant $x^2 \mid 584$ ?
Note: I don't know any method or any basic help me to solve this kind of equation
2026-04-02 12:30:25.1775133025
Is it possible to solve this congruence $584= 0 \bmod x^2$ with $x$ positive integer?
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Notice that the prime factorization of $584$ is $$584=2^3\times 73$$ Hence, $2^2=4$ is the only perfect square (other than the trivial case of $x=1$) which divides $584$.