Solar panels use the suns energy to generate power. A town wants to install 28 solar panels in an array. What are all the possible ways the panels could be installed

The possible arrays are: (1,28), (2,14), (4,7)), (7,4), (14,2) and (28,1)

Step-by-step explanation:

Here, the total number of solar panels to be installed = 28

Let us assume the installed array has m rows and n columns.

Now, the total panels installed = Number of rows x Number of columns

or, 28 = m n

The following cases are possible for array:

(a) When m = 1, n = 28 (as m x n = 28)

So, here array has 1 row with 28 columns.

(b) When m = 2, n = 14 (as m x n = 28)

So, here array has 2 row with 14 columns.

(c) When m = 4, n = 7 (as m x n = 28)

So, here array has 4 row with 7 columns.

(d) When m = 7, n = 4 (as m x n = 28)

So, here array has 7 row with 4 columns.

(e) When m = 14, n = 2 (as m x n = 28)

So, here array has 14 row with 2 columns.

(f) When m = 28, n = 1 (as m x n = 28)

So, here array has 28 row with 1 columns.