Alright! So, there are 5,280 feet in one mile, and 12 inches in a foot.
To convert from inches to centimeters, you use the conversion factor 2.54 cm = 1 inch.
Let's put it all together.
1 mi/5280 ft * ft/12 in * in/2.54 cm
Which gets usssss
1 mi/160934.4 cm
:)