Web Reference: The 36 officers problem is a puzzle proposed by Swiss mathemacian Leonhard Euler in 1782. The problem asks if it is possible to arrange six regiments consisting of six officers each of different ranks in a 6x6 square so that no rank or regiment will be repeated in any row or column. Since it is possible to find sequences of 36 consecutive integers such that each inner member shares a factor with either the first or the last member, 36 is an Erdős–Woods number. We will provide you with the definition of Factors of 36, show you how to find the Factors of 36, give you all the Factors of 36, tell you how many Factors 36 has, and supply you with all the Factor Pairs of 36 to prove that our answer is solved correctly.
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