# SOLUTION: Is there any square number besides 9 and 81 that is divisible by 9? -Thanks!

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 Question 18148: Is there any square number besides 9 and 81 that is divisible by 9? -Thanks!Answer by kev82(148)   (Show Source): You can put this solution on YOUR website!Yes, lots of them. This is shown below There is a theorem, called the fundamental theorem of arithmatic. Amongst other things it says that any whole number can be written as the product of primes. If we chose a number x, we can write it as this product of primes. Now consider and much more interestingly . As you can see is a square number divisible by 9. I've just realised we didn't actually need the stuff about the primes, but it's good to learn something new everyday :D For your enjoyment, here are three really big square numbers divisible by 9 that I worked out 290865928967208697537677954155146591215027084823761634916418981868464451672735642563258575025 377757024764443692555739771423286715885160196068990002369 287239467617910266150742450417499640849213343093880946478917496351351184155930613119360893088100381830756 Hope that helps Kev