Solution #54: Odd Product

69. The cube root of 357,627 is slightly less than 71. It seems that 69 x 71 x 73 is a possible product. The result can be verified. Note that 9 x 1 x 3 = 27, thus making the last digit a 7, which is a good visual check.

Alternatively, solve a cubic equation by setting up a product of successive odd numbers, say, a-2, a, and a+2. This setup produces a more workable equation than does 2n-1, 2n+1, and 2n+3.

Source: Mathematics Teacher
Categories: Algebra
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