\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
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Suppose an integer \(n\) is divisible by \(4\) and by \(9\). We can conclude that \(n\) is divisible by \(36\) because:
\(4\) and \(9\) are coprime (\(\gcd(4,9)=1\)).
\(36\) is the sum of \(4\) and \(9\).
\(4\) and \(9\) are both square numbers.
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