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How many Integers? (
Posted on 20060518
)
Find the number of positive integers that divide (10)^999 but not (10)^998.
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Submitted by
Ravi Raja
Rating:
3.0000
(1 votes)
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Solution
Comment 9 of 9 
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)
=1000^2999^2=1999
Posted by
Praneeth
on 20070911 06:24:26
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