What must be done to the original measurement after establishing the conversion factor?

The correct process after establishing a conversion factor involves dividing the original measurement by the conversion factor when converting to a different unit. This is because a conversion factor expresses the relationship between two units and allows you to express the same quantity in various units accurately.

For example, if you are converting from inches to feet, knowing that 1 foot equals 12 inches, you would take an original measurement in inches and divide it by 12 to get the equivalent measurement in feet. This method ensures that you retain the same value while changing the unit of measurement appropriately.

Utilizing this approach aligns with the principles of dimensional analysis, making it a reliable method for accurate unit conversion in practical applications.