To find the scale factor of the drawing, we need to compare the dimensions in the drawing to the actual dimensions.
The actual width of the table is 3 feet. We need to convert this measurement into inches since the width in the drawing is given in inches.
1 foot equals 12 inches, so:
\[ 3 \text{ feet} = 3 \times 12 = 36 \text{ inches} \]
Now, we have:
- Actual width = 36 inches
- Drawing width = 5 inches
The scale factor is calculated by dividing the width in the drawing by the actual width:
\[ \text{Scale Factor} = \frac{\text{Width in drawing}}{\text{Actual width}} = \frac{5 \text{ inches}}{36 \text{ inches}} \]
This fraction can be further simplified. Both 5 and 36 have no common factors (5 is prime, and 36's factors are 1, 2, 3, 4, 6, 9, 12, 18, 36), so the fraction is already in its simplest form.
Therefore, the scale factor of the drawing is:
\[ \frac{5}{36} \]
Thus, the final answer is:
\[ \boxed{\frac{5}{36}} \]