If a matrix has 18 elements what are the possible orders it can have ?

Explanation

We know that if a matrix is of order `mxxn`, it has mn elements. Thus to find all possible orders of a matrix with 18 elements, we will find all ordered pairs of natural numbers, whose product is 18. All possible ordered pairs (1,18), (18,1), (2,9), (9,2), (3,6), (6,3). Hence possible orders are `1xx18, 18xx1,2xx9,9xx2,3xx6,6xx3`