SOLUTION: find three consecutive even integers such that the product of the first and the third is 572

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Question 1045091: find three consecutive even integers such that the product of the first and the third is 572
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Easiest way is to probably factor 572 and find factors that are 4 apart (since the first and the third of three consecutive even integers are 4 apart).

Since 572 = 22*26, we have that three such integers are 22, 24, 26.

However we should also note that 572 = (-22)*(-26) and -26, -24, -22 also works.

Can also be solved algebraically, but is much slower.