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Bold Minimum (Posted on 2009-12-12) Difficulty: 3 of 5
A positive integer X is defined as a bold number if precisely 8 of its distinct divisors sum to 3240. The total number of divisors of X may or may not be equal to 8.

Determine the minimum positive bold number.

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

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Solution solution | Comment 1 of 4
1260

1260 has factors 22 x 32 x 5 x 7

1260 = [2x2x3x3x5x7]
 630 = [2  x3x3x5x7]
 420 = [2x2x3  x5x7]
 315 = [    3x3x5x7]
 252 = [2x2x3x3  x7]
 210 = [2  x3  x5x7]
  90 = [2  x3x3x5  ]
  63 = [    3x3  x7]
3240

 

Edited on December 13, 2009, 4:19 pm
  Posted by Dej Mar on 2009-12-12 16:50:08

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