Question

If a matrix has 8 elements, what are the possible orders it can have? What if it has 5 elements?

Answer 1

We know that if a matrix is of order $m\times n$, then it has mn elements.

The possible orders of a matrix with 8 elements are given below:
1$\times$8, 2$\times$4, 4$\times$2, 8$\times$1

Thus, there are 4 possible orders of the matrix.


The possible orders of a matrix with 5 elements are given below:
1$\times$5, 5$\times$1

Thus, there are 2 possible orders of the matrix.