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Proposition: Divisors of a Product Of Two Factors, CoPrime to One Factor Divide the Other Factor
If an integer divides a product of two other integers and if it is coprime to one of the factors of the product, then it divides the other factor. Formally, for \(a\neq 0\)
\[a\mid bc\wedge a\perp b\Rightarrow a\mid c.\]
Table of Contents
Proofs: 1 Corollaries: 1
Mentioned in:
Corollaries: 1
Proofs: 2 3 4 5
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References
Bibliography
 Landau, Edmund: "Vorlesungen über Zahlentheorie, Aus der Elementaren Zahlentheorie", S. Hirzel, Leipzig, 1927