Question

Find the least number by which to divide the given numbers to get a perfect cube of 0.024​

Answer 1

The prime factorisation of 13720 yields

13720=2×2×2×7×7×7×5

13720=2

3

×7

2

×5

In order to be a perfect cube we hae to divide the given number with 5 then,

5

13720

=

5

2

3

×7

3

×5

=(2×7)

3

=2744

Hence 5 is the least number by which 13720 must be divided so that the quotient ia a perfect square.

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