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Magic 8's (Posted on 2006-09-18) Difficulty: 4 of 5
There is a number which has 8 divisors including, 8, itself, and 1. There is also a number which has 18 divisors, including 18, itself and 1. The difference between these numbers is 28. What are the two numbers?

No Solution Yet Submitted by joshua    
Rating: 4.0000 (2 votes)

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re(2): Solution | Comment 7 of 8 |
(In reply to re: Solution by Charlie)

Charlie, you are correct.

Both 1*[a*a]*[b*b*b*b*b] and 1*[a*a]*[b*b]*[c], where a, b, c are distinct and > 1 will each produce 18 different positive factors.  And only where a, b, and c is 2, 3, and c >= 3 has any candidates for the solution.  

  Posted by Dej Mar on 2006-09-19 03:21:01
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