Posted by undertaker on Wednesday, October 19, 2011 at 6:28pm.
yes
I'd say no.
The prime factors of 75 are 3 and 5
All the factors of 75 are 3,5,15,25
Write n = abc
Since the product of the digits is zero, one of the digits is zero.
Since the sum of the digits is 6, the number is 9k+6 for some k.
That means that 3 is a factor of n
Now, abc is either
105 or 150
3,5,15 are factors of both. 25 does not divide 105.
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