to the posters above:
yes.
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1 only has one factor, namely, 1.
i'm trying to figure out what are the "two factors" to which you referred in your post. if those two factors are 1 and -1, keep in mind that gmat problems deal exclusively with POSITIVE "factors".
as far as i've seen, the problem will always state this condition explicitly (i.e., it will say "positive factors", not just "factors")
if you weren't thinking +/- 1, then i'm curious as to what you thought was the second factor.
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also:
the "perfect squares have odd numbers of factors" fact is obscure, but it's a very nice thing to know. while it's not particularly likely that you'll get to apply this fact, it can make a hard problem quite easy, if you're lucky enough to see a problem on which you can employ it.
the best thing is that it works both ways; i.e.:
* if an integer has an odd # of factors, then it's a perfect square, AND
* if an integer is a perfect square, then it has an odd # of factors.
Ron has been teaching various standardized tests for 20 years.
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Yves Saint-Laurent
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