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Question Number 69247 by Rio Michael last updated on 21/Sep/19
show that    c∣a ⇔ −c∣a.
$${show}\:{that}\: \\ $$$$\:{c}\mid{a}\:\Leftrightarrow\:−{c}\mid{a}. \\ $$
Commented by kaivan.ahmadi last updated on 22/Sep/19
c∣a⇒a=cx; ∃x∈Z  ⇒a=−c(−x)  ⇒−c∣a
$${c}\mid{a}\Rightarrow{a}={cx};\:\exists{x}\in\mathbb{Z} \\ $$$$\Rightarrow{a}=−{c}\left(−{x}\right) \\ $$$$\Rightarrow−{c}\mid{a} \\ $$

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