Question

Find the smallest number by which 145800 must be divided, so that the quotient is a perfect cube.

Answer 1

25 is the answer

prime factor of 145800 are 2 ×2× 2 ×3 ×3× 3× 3× 3 ×3× 5 ×5

while grouping 5 × 5 remains un group

therefore 5 ×5=25 must be divided so that quotient remains same

Answer 2

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