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| How many Integers? (Posted on 2006-05-18) |
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Find the number of positive integers that divide (10)^999 but not (10)^998.
Solution
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 | Comment 9 of 10 | 
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All the divisors of 10^998 are also divisors of 10^999
So, No. of positive integers that divide 10^999 but not
10^998=d(10^999)-d(10^998)=d(2^999*5^999)-d(2^998*5^998)
=1000^2-999^2=1999
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Posted by Praneeth
on 2007-09-11 06:24:26 |
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