Question

find the smallest number when multiplied with 53240 will make the product a perfect cube

Answer 1

here the prime factors if the given number
53240=2*2*2*5*11*11*11
as we know that a cube of a number consists of three numbers.
in the above factors we find that there is a triplet of 2 and 11....but not of 5
to make a triplet for 5 we need two more 5
=5*5
=25

the required number is 25.
=53240*25
=1331000

1331000 is perfect cube of 110.


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Answer 2

Answer:

1331000 is a prefect cube