posted by undertaker on .
number less than 200 sum of the digit is 6 product of the digit is 0 each factor of 75 is its factor too?
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.