How many arrays are there for modeling a rectangular quilt with 24 paper squares?

To find the number of arrays for modeling a rectangular quilt with 24 paper squares, we need to consider the factors of 24 and how they can be arranged.

Step 1: Find the factors of 24. Factors are numbers that divide 24 without leaving a remainder. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

Step 2: Divide the factors into pairs. Each pair represents the dimensions of a rectangular array. For example, (1, 24) represents a 1x24 array, (2, 12) represents a 2x12 array, and so on.

Step 3: Count the pairs. In this case, there are 4 pairs: (1, 24), (2, 12), (3, 8), and (4, 6).

Therefore, there are 4 different arrays for modeling a rectangular quilt with 24 paper squares.