Q. The least number which must be multiplied by 432 to make it a perfect cube is:
✅ Correct Answer: (C)
4
Explanation: 432 = 2⁴×3³. For a perfect cube, each exponent must be a multiple of 3. Multiply by 2 to get 2⁵? Actually 2⁴×2 = 2⁵ is still not a multiple of 3. Multiply by 4 (2²): 2⁶×3³ = (2²×3)³ = 12³. Hence the least multiplier is 4.
Explanation by: Mr. Dubey
432 = 2⁴×3³. For a perfect cube, each exponent must be a multiple of 3. Multiply by 2 to get 2⁵? Actually 2⁴×2 = 2⁵ is still not a multiple of 3. Multiply by 4 (2²): 2⁶×3³ = (2²×3)³ = 12³. Hence the least multiplier is 4.