Find the smallest number by which 6655 be divided so that the quotient is a perfect cube.
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5 is the smallest number by which 6655 divides so that the quotient 1331 is a perfect cube (11)
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Question :
Find the smallest number by which 6655 be divided so that the quotient is a perfect cube.
Answer :
The smallest number by which 6655 be divided so that the quotient is a perfect cube is 5.
Given :
The number 6655
To find :
The smallest number by which 6655 be divided so that the quotient is a perfect cube.
Solution :
The factors of 6655 are = 5 × 11 × 11 × 11
Or, 5 × 11^3
= 5 × 1331
As 1331 is a perfect cube , hence ,
the smallest number by which 6655 be divided so that the quotient is a perfect cube will be 5 .
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