Determine the total number of quadruplets (A, B, C, D) of positive integers such that:

• A divides B, and:
• B divides C, and:
• C divides D, and:
• A+B+C+D=4200

      Hard ro count manually :

1,1,1,4197 

1,1,2,4196 

    2,2,2,4194  

 1,1,4,4192

 2,2,4,4192   

 3,3,3,4191...
...  ...

700,700,700,2100

...

525,525,1050,2100

... ...

1050,1050,1050,1050.

Too numerous to count....software solution , please 

Edited on August 18, 2014, 4:58 pm

Posted by Ady TZIDON on 2014-08-18 16:56:16