To factor the expression \(45w + 35\), we first look for the greatest common factor (GCF) of the two terms.
The coefficients are \(45\) and \(35\).
- The factors of \(45\) are \(1, 3, 5, 9, 15, 45\).
- The factors of \(35\) are \(1, 5, 7, 35\).
The GCF of \(45\) and \(35\) is \(5\).
Now, we factor out \(5\):
\[ 45w + 35 = 5(9w + 7) \]
So, the factored form is:
\[ 5(9w + 7) \]
This is a product with a whole number greater than \(1\).