Higher Order Thinking Mr. Deets is making an array to display 9 pictures. For each pair of different factors, there are two arrays he can make. How many different arrays can Mr. Deets make? Is the number of arrays odd or even? Explain.
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Mr. Deets can create arrays based on the factors of 9. The pairs of different factors of 9 are (1, 9) and (3, 3). For (1, 9), he can arrange the pictures in 1 row of 9 columns or 9 rows of 1 column, creating 2 different arrays. Since the pair (3, 3) is the same in both arrangements, it counts as 1 unique array. Thus, Mr. Deets can make a total of 2 + 1 = 3 different arrays. Since 3 is odd, the final result is indeed an odd number! When exploring arrays, remember that an array's dimensions (rows and columns) can yield fascinating patterns, especially with different numbers. For a number like 9, it’s interesting to note that while 3 x 3 forms a perfect square, it may limit creativity compared to arranging those 9 pictures in different configurations—like a gallery walk of sorts!