- #1
alexfresno
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{SOLVED}Number theory/ divisibility
Show that m^2 is divisible by 3 if and only if m is divisible by 3.
MY attempt:
I assumed that 3k=m for some integers k and m.
squared both sides and now get.
3n=m where n=3*(3k^2). Thus 3|m^2
Now the problem is when i assume:
3k=m^2 and need to show 3|m.
Show that m^2 is divisible by 3 if and only if m is divisible by 3.
MY attempt:
I assumed that 3k=m for some integers k and m.
squared both sides and now get.
3n=m where n=3*(3k^2). Thus 3|m^2
Now the problem is when i assume:
3k=m^2 and need to show 3|m.
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