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Question Number 159163 by mkam last updated on 13/Nov/21

Commented by mkam last updated on 13/Nov/21

$? ? ? ? ? ?$
	Answered by gsk2684 last updated on 14/Nov/21

	$a ∣ b m e a n s a d e v i d e s b$
	Commented by mkam last updated on 14/Nov/21

	$y e s s i r$
	Answered by aleks041103 last updated on 14/Nov/21

	$Q 1 .$ $a ∣ b \Rightarrow b = n a, n \in Z$ $b ∣ a \Rightarrow a = m b, m \in Z$ $\Rightarrow a = m n a \Rightarrow m n = 1$ $S i n c e m, n \in Z, t h e n$ $m = n = - 1 a n d a = - b$ $o r$ $m = n = 1 a n d a = b$ $Q 2 .$ $1) a ∣ b \Rightarrow m a ∣ m b$ $a ∣ b \Rightarrow b = n a$ $\Rightarrow m b = m n a = n (m a) = (m b)$ $\Rightarrow m a ∣ m b .$ $2) m a ∣ m b \Rightarrow a ∣ b$ $m a ∣ m b \Rightarrow m b = n (m a)$ $m \neq 0 \Rightarrow b = n a \Rightarrow a ∣ b .$ $S u m m a r y)$ $a ∣ b \Rightarrow m a ∣ m b a n d m a ∣ m b \Rightarrow a ∣ b$ $T h e n a ∣ b \Leftrightarrow m a ∣ m b .$
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