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Re: even divisors of 2048
[Re: jcl]
#89859
09/17/06 03:26
09/17/06 03:26
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Joined: Mar 2001
Posts: 3,298 Beverly, Massachusetts
Rhuarc
Expert
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Expert
Joined: Mar 2001
Posts: 3,298
Beverly, Massachusetts
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Quote:
I think you can prove that 2048 can not have an even divisor between 64 and 128:
2048 is 2*2*2...*2. Suppose it had an even divisor u that is not a power of 2, then 2048 = u*v = (2*2*2..*n)*(2*2*2..*m) = (2*2*2..)*(m*n), while n and m both are >1 and odd. This however is not possible because (m*n) then is also odd and can't result in 2048 when multiplied with a power of 2.
Get off your mathematician ass and go rollerblading... you make our heads hurt 
Nice one, Doug. Gotta admit though, I recognize what you're doing, but don't have the slightest idea how it's actually figured mathematically anymore. 
-Rhuarc
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