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Cube and Cube Roots — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSCube and Cube Roots1 Mark
MCQ
What should be divided by $53240$ to make it a perfect cube?
  • A
    $10$
  • B
    $20$
  • ✓
    $5$
  • D
    $15$
✓

Answer

Correct option: C.
$5$
The prime factorisation of $53240$
$53240 = 2 \times 2 \times 2 \times 11 \times 11 \times 11 \times 5 = 2^3 \times 11^3 \times 5$
Hence, we need to divide $53240$ by $5$
$\frac{53240}{5}=10648$ is a perfect cube.

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