Prove that if a|b and b|c, then a|c.

nagasenaz

nagasenaz

Answered question

2021-03-18

Show that if a|b and b|c, a|c follows.

Answer & Explanation

ensojadasH

ensojadasH

Skilled2021-03-19Added 100 answers

Because a|b and b|c. In order to make b=na and c=mb, respectively, there are integers m & n that exist. Then, because b=na, c=mb=mna.
Given that mn is an integer, it follows that a|c

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