A poster problem: A painting that is 100 inches by 200 inche…

A poster problem: A painting that is 100 inches by 200 inches will be reproduced on a poster. On the poster, the 100 inch side will become 20 inches long. Determine how long the 200 inch side will become on the poster. Solve the poster problem in two ways, (1) with the scale factor method, and (2) with the internal factor method. In each case, explain clearly the idea and the reasoning of that method (i.e., why that method makes sense) as if you were explaining it to students who know about multiplication and division, but not about setting up proportions.

a. Show a general method for determining all the factors of…

a. Show a general method for determining all the factors of a counting number in an efficient way. Illustrate with the number 60. Explain how you know you have found all the factors. b. What are multiples of a number? Illustrate with the number 60, including a word problem that would involve finding many or (theoretically) all of the multiples of 60.