Question : What is the least number that can be multiplied by 69120 to make it a perfect cube?
Option 1: 10
Option 2: 50
Option 3: 25
Option 4: 5
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Correct Answer: 25
Solution :
Prime factorization of $69120 = 2^9 × 3^3 × 5$
For the number to be a perfect cube, all the exponents must be multiples of 3, thus the above number must be multiplied by $5^2=25$
Hence, the correct answer is 25.
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