least number 13500 should be divided to make it a perfect cube
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Step-by-step explanation:
your ans is 2^2×3^3×5^3
Answered by
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Answer:
Step-by-step explanation:
13500 = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5
= 2² x 3³ x 5³
=> If we multiply by 2, we get a perfect cube.
=> Dividing 13500 by 1/2 will give quotient 27000 which is perfect cube.
It may not be possible to find smallest number. Another solution smaller than 1/2 is 1/(2⁴ x 3³ x 5³)
Note : Smallest number does not mean only integers.
Alternatively, divide 13500 by 4 to get 3375 which is a perfect cube !!!!
It all depends how you interpret “Number”.
and the cube root of 27000 is 30
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