Question

Is 171500 is perfect cube? if not, find the smallest number by which it must be divided to get a perfect cube.

Answer 1

Answer:

171500=2*2*5*5*5*7*7*7

171500 is not a prefect cube

prime factor 2 is not in group of triple. therefore 171500 is not a prefect cube. in above factorization of 171500 2 is occur twince. So, if we dived 171500 by 2*2=4 then we will get prefect cube.

$171500 \div 4 = 42875 \\ 42875 = {7}^{3} \times {5}^{3}$

full factorization in the attachment pic

hope it's help you

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