To factor the expression \( 24q + 15 \), we first need to find the greatest common factor (GCF) of the two terms, \( 24q \) and \( 15 \).
The factors of \( 24 \) are \( 1, 2, 3, 4, 6, 8, 12, 24 \).
The factors of \( 15 \) are \( 1, 3, 5, 15 \).
The greatest common factor between them is \( 3 \).
Now we can factor out \( 3 \) from the expression:
\[ 24q + 15 = 3(8q + 5) \]
Therefore, the factored form is:
\[ 3(8q + 5) \]
This is a product with a whole number greater than 1.