Multiple choice

Find the least number with which 16200 should be multiplied to make it a perfect cube.

  1. 36

  2. 48

  3. 45

  4. 360

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

16200 = 2 ^ 3 * 3 ^ 4 * 5 ^ 2 A perfect square has a property of having the indices of all its prime factors divisible by 3. The required number = 3 ^ 2 * 5 = 45. If we multiply 45 with 16200, we get 72900, which is the cube of 90.

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