Which of the following numbers

Question:

Which of the following numbers is not a perfect cube?

(a) 216                  

(b) 567                  

(c) 125              

(d) 343

Solution:

(b) 216=6 x 6 x 6, 567 = 3 x 3 x 3 x 3 x 7

125 = 5 x 5 x 5, 343 = 7 x 7 x 7

Clearly, 567 is not a perfect cube, because in grouping, the factors in triplets of equal factors, we are left with two factors 3 x 7.

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