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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 my way | Comment 7 of 9 |

a number 2^m*5^n has (m+1)* (n+1) dividers

therefore 10^999 has 1000*1000=1000000 dividers

and   10^998    has    999*999= 1000000-2000+1 diividers

the difference is 2000-1= 1999


  Posted by Ady TZIDON on 2006-05-20 15:07:26
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