\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
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According to Gauss's Theorem, if \(a\) divides the product \(bc\), which condition is necessary to conclude that \(a\) divides \(c\)?
\(a\) must be a prime number.
\(a\) and \(b\) must be coprime.
\(b\) and \(c\) must be coprime.
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