Posted by **undertaker** on Wednesday, October 19, 2011 at 6:28pm.

number less than 200 sum of the digit is 6 product of the digit is 0 each factor of 75 is its factor too?

- math -
**Jillian**, Wednesday, October 19, 2011 at 9:51pm
yes

- math -
**Steve**, Thursday, October 20, 2011 at 12:47am
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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