Algebra
posted by HANNAH .
a twodigit number is a perfect square and has exactly 9 positive integral factors. What is the number?
How would i figure this out?

I would start with two digit numbers...
100 factors 2,5,25,4,50,10, 100, 1 eight factors check that.
81 factors 3,9,27,81,1six factors
64 2,4,16,32, 64,1,8 seven factors
recheck those, and work downward to find one with nine factors. 
There aren't that many twodigit perfect squares. I'd simply try them all out, starting with the largest I can think of (since that's most likely to have nine factors) and work backwards until I find one that works.
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