The scale factor can be determined by comparing the diameters of the two circles.
Given:
- Diameter of the original circle = 15 cm
- Diameter of the final circle = 105 cm
The scale factor is calculated as follows:
\[ \text{Scale factor} = \frac{\text{Diameter of final circle}}{\text{Diameter of original circle}} = \frac{105 \text{ cm}}{15 \text{ cm}} = 7 \]
Thus, the scale factor is 7.