Q. 34.7( 30 Votes )

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Answer :

Given, a number as 8788. We need to find out a number which if multiplied by the given number we get a perfect cube.

Step 1: Resolve 8788 into prime factors



We get, 2 × 2 × 13 × 13 × 13


Step 2: Pair the factors obtained in the group of three


(2 × 2) × (13 × 13 × 13)


Step 3: multiply the number with the factor which is alone.


Here, 13 is in group of three and 2 is alone.


8788 × 2 = 17576


Hence, 2 is the smallest number which is to be multiplied to the given number for perfect cube.


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