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# If a matrix has 12 elements, what are the possible order it can have?

This question has multiple parts. Therefore each part has been answered as a separate question on Clay6.com

Toolbox:
• We know that if a matrix is of order $m\times n$ it has mn elements.Thus to find all possible orders of a matrix with 12 elements.
• We will find all ordered pairs of natural numbers whose product is 12.
Given:
No of elements: 12
All ordered pairs are :$1\times 12,12\times 1,2\times 6,6\times 2,3\times 4,4\times 3$
Possible orders are :$1\times 12,12\times 1,2\times 6,6\times 2,3\times 4,4\times 3$