# Analysis

• October 22nd 2013, 05:58 PM
shaneeza
Analysis
Prove that the real number m2 is divisible by a then m is also divisible by a.
• October 22nd 2013, 06:41 PM
topsquark
Re: Analysis
Quote:

Originally Posted by shaneeza
Prove that the real number m2 is divisible by a then m is also divisible by a.

Care to share your solution? It might help out someone else.

-Dan

Edit: Ummmm... You might need to see if this is the correct question. m = 4 gives 4^2 = 16 is divisible by a = 8. But 4 is not divisible by 8.
• October 22nd 2013, 07:01 PM
shaneeza
Re: Analysis
well! actually i need some help because i can really solved this?
• October 22nd 2013, 10:15 PM
topsquark
Re: Analysis
Quote:

Originally Posted by shaneeza
well! actually i need some help because i can really solved this?

It isn't your fault. The problem statement is flawed as I demonstrated. Unfortunately I haven't a clue what was intended. Where did you get the problem from?

-Dan
• October 31st 2013, 12:16 PM
HallsofIvy
Re: Analysis
I believe what was intended is that "if $n^2$ is divisible by prime number a then n is divisible by a". The simplest way to prove that is to look at the prime fatorizations of n and $n^2$.