Question

If a matrix has 24 elements, what are the possible orders it can have? What, if it has 13 elements?

Answer 1

We know that if a matrix is of the order $m\times n$, it has mn elements. Hence, a matrix containing 24 elements can have any one of the following orders:
$1\times 24,2\times 12,3\times 8,4\times 6,4\times 6,6\times 4,8\times 3,12\times 2or24\times 1$
Similarly, a matrix containing 13 elements can have order $1\times 13$ ~or~ $13\times 1$