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The smallest number by which 68600 must be multiplied to get a perfect cube is:
1. 5
2. 8
3. 10
4. 15

1 Answer

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Correct Answer - Option 1 : 5

Given:

The number = 68600

Calculation:

⇒ 68600 = 2 × (34300)

⇒ 34300 = 2 × (17150)

⇒ 17150 = 2 × (8575)

⇒ 8575 = 5 × (1715)

⇒ 1715 = 5 × (343)

⇒ 343 = 7 × (49)

⇒ 49 = 7 × 7

⇒ 68600 = (2 × 2 × 2) × (5 × 5) × (7 × 7 × 7) 

⇒ In expansion of the number we can see if we multiply by 5 then given number would be a perfect cube.

∴ The required result will be 5.

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