Question

A matrix has 8 elements. What are the possible orders it can have?

Answer 1

The number of elements of a matrix of order $m\times n$ is $mn.$ Thus, to find all possible orders of a matrix with $8$ elements. We will find all ordered pairs of natural numbers, whose product is $8.$

Thus all possible ordered pairs are $(1,8),(2,4),(4,2)\xi (8,1).$

Hence, solved.