Factoring illustrates "reverse thinking" common in mathematics. In our everyday lives, we illustrate this type of thinking often. If I know in 15 years that I may have to send a child to college, then knowing the end result (price of college) I must think in reverse and figure out steps I must take to lead up to the final outcome. Discuss any type of "reverse thinking" that you can recall you have had to do (either work or personal), whether in the past week, month, year, etc. or will have to do in the future. Describe the situation in terms of stating the final outcome and describing the thinking involved in the steps leading up to the final outcome.
This provides an example of using reverse thinking to obtain a desired outcome.