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Find the smallest number by which 53240 must be divided to make it a perfect cube $. (53240 = 2 \times 2 \times 2 \times 5 \times 11 \times 11 \times 11.)$

Class 8Perfect CubesCubes and Roots

A5
B10
C6
D4

Step-by-Step Solution

53240 =

2^{3} \times 5 \times 1 1^{3}

. Only the prime 5 appears once, spoiling the cube. Dividing by 5 gives

10648 = 2 2^{3}

.

Answer: A) 5

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