Question

If a matrix has 8 elements, what are the possible number of orders it can have?

Answer 1

We know that if matrix is of order m $\times$ n, it has mn elements, we will find all ordered pairs of natural numbers, whose product is 8.
Thus, all possible ordered pairs are (1, 8), (8, 1), (4, 2), (2, 4)
Hence, possible order are $1\times 8,8\times 1,4\times 2,2\times 4$