Question

40. By which smallest number 53240 be divided so that the quotient is a perfect cube :
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Answer 1

Answer:

If we divided the number by 5, then the prime factorisation of the quotient will not contain 5. Hence the smallest number by which 53240 should be divided to make it a perfect cube is 5. The perfect cube in that case is=10648.20-Jun-2018

Answer 2

ǫᴜᴇsᴛɪᴏɴ:

By which smallest number 53240 be divided so that the quotient is a perfect cube .

ᴀɴsᴡᴇʀ:

$\sqrt{2 \times 2 \times 2 \times 5 \times 11 \times 11 \times 11}$

$\frac{53240}{2} \\ \\ \frac{26620}{ 2} \\ \\ = \: \frac{13310}{2} \\ \\ \frac{6655}{5} \\ \\ \frac{1331}{11} \\ \\ \frac{121}{ \\ \\ \frac{11}{11} \\ \\ = \: 1$

5 is the smallest number by which 53240 be divided which we make the quotient a perfect cube.

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