Find all three digit even numbers N such that 693 times N is a perfect square.

I have no idea how to go about this?

Please help urgently!

- May 24th 2008, 08:07 PMvongeFind all three digit even numbers N such that 693 times N is a perfect square.
Find all three digit even numbers N such that 693 times N is a perfect square.

I have no idea how to go about this?

Please help urgently! - May 24th 2008, 09:11 PMIsomorphism
First of all observe that . So if is a perfect square, then since only one factor of 7 and 11. More clearly .

Now choose**even**k such that is a three digit number :)

You will see that for k= 4, N is already a four digit number. Thus k=2 is the only answer.

Or

So the only three digit that satisfies is - May 28th 2008, 12:25 AMvonge
Thank you so much for that