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Find the smallest number by which 8788 must be divided so that the quotient is a perfect cube $. (8788 = 2 \times 2 \times 13 \times 13 \times 13.)$

Class 8Perfect CubesCubes and Roots

A2
B4
C13
D169

Step-by-Step Solution

8788 =

2^{2} \times 1 3^{3}

. The factor

2^{2}

spoils the cube, so divide by 4:

8788/4 = 2197 = 1 3^{3}

.

Answer: B) 4

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