what should be the least positive integer by which 8640000 is to be divided so that the resulting quotient is a perfect cube? find the cube root of the resulting quotient.
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8640000=2×2×2×2×2×2×2×2×2×3×3×3×5×5×5×5
The least positive integer required is 5
Therefore the resulting number is 8640000÷5 i.e.1728000,which is a perfect cube
1728000=2×2×2×2×2×2×2×2×2× 3×3×3×5×5×5
=2×2×2×3×5
=120
Hope it will help you
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