# SOLUTION: If the lengths of the sides of a triangle are integers and their product is 504, what is a possible perimeter of the triangle?

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 Question 147931: If the lengths of the sides of a triangle are integers and their product is 504, what is a possible perimeter of the triangle?Answer by Fombitz(13828)   (Show Source): You can put this solution on YOUR website!504 can be broken down into its prime divisors. Then start breaking down the various 3-somes that can make up the product,504. I count 19 possible perimeters shown after the 3-some. (2, 2, 126)= 130 (2, 3, 84)= 89 (2, 4, 63)= 69 (2, 6, 42)= 50 (2, 7, 36)= 45 (2, 9, 28)= 39 (2, 12, 21)= 35 (2, 14, 18)= 34 (3, 3, 56)= 62 (3, 4, 42)= 49 (3, 6, 28)= 37 (3, 7, 24)= 34 (3, 8, 21)= 32 (3, 12, 14)= 29 (4, 6, 21)= 31 (4, 7, 18)= 29