Question

find the smallest number by which 197568 must be divided so that the quotient is a perfect cube ​

Answer 1

Answer:

answer is 7

Step-by-step explanation:

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Answer 2

Answer:

The smallest number 197568 must be divided to get a perfect cube = 9

Step-by-step explanation:

Given

The number is 197568

To find,

The smallest number the given number to be divided to get a perfect cube

Solution:

The given number is 197568

The prime factorization 197568 = 2×2×2×2×2×2×3×3×7×7×7

= 2⁶×3²×7³

= (2²×7)³×3²

197568 = (28)³×9

When we divide the above prime factorization by '9' we get a perfect

cube = (28)³

Hence the smallest number 197568 must be divided to get a perfect cube = 9

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