To factor the expression \( 18v - 9w + 45 \), we can first look for the greatest common factor (GCF) of the coefficients.
The coefficients are 18, -9, and 45.
- The GCF of 18, -9, and 45 is 9.
Now, we can factor out 9 from the expression:
\[ 18v - 9w + 45 = 9(2v - w + 5) \]
Thus, the expression factored as a product with a whole number greater than 1 is:
\[ \boxed{9(2v - w + 5)} \]