Could you please help me with this question:
Find all positive integers N such that the product 2005 *N has exactly six divisors.
2005*16 has too many divisors, namely 1,2,4,8,10,16,20,...Originally Posted by Math Help
Try M = 5: Then 1, 5, 25, 401, 2005, 10025 are the only divisors of 2005*5.
M = 401 also works.
If M has any prime factor other than 5 or 401, let's say p, there will be at least seven divisors: 1, 5, 401, p, 5p, 401p, 2005p.
If M is a power of 5 or has divisors 5 and 401, there will also be too many divisors.
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