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Found this problem in my SAT book the other day and wanted to see if anyone could help me out.

A positive integer is said to be "tri-factorable" if it is the product of three consecutive integers. How many positive integers less than 1,000 are tri-factorable?

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    You need to find the biggest tri-factorable integer less than $1000$ (recall that a tri-factorable integer can be written $n(n+1)(n+2)$ and this is roughly equal to $n^3$).2012-08-06

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