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How many Integers? (Posted on 2006-05-18) Difficulty: 2 of 5
Find the number of positive integers that divide (10)^999 but not (10)^998.

No Solution Yet Submitted by Ravi Raja    
Rating: 3.0000 (1 votes)

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Solution 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)
                          =1000^2-999^2=1999

  Posted by Praneeth on 2007-09-11 06:24:26
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