Concept explainers
Solve problems (a) and (b), and determine whether the answers are different or not. Explain why or why not.
a. Josh has 1159 bottle caps in his collection. In how many different ways can Josh arrange his bottle-cap collection into groups so that the same number of bottle caps are in each group and so that there are no bottle caps left over (i.e., not in a group)?
b. How many different rectangles can be made whose side lengths, in centimeters, are counting numbers and whose area is 1159 square centimeters?
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