To find the scale factor used to create the travel version of the triangular piece, you can divide the side length of the original triangle by the side length of the travel version.
Original triangle side length: 3 inches
Travel version triangle side length: 0.5 inches
Scale Factor = (Side length of original) / (Side length of travel version)
So, the scale factor is:
\[ \text{Scale Factor} = \frac{3}{0.5} = 3 \div 0.5 = 6 \]
Thus, the scale factor used to create the travel version of the piece is 6.