Question

is 8575 a perfect cube? if not , find the smallest natural number by which it must be multiplied to get a perfect cube . also find the new perfect cube so obtained.
 pls answer fast

Answer 1

Let us do prime factorisation of 8575

8575 = 7x7x7x5x5

Let us group the same numbers in groups of 3s

= 7x7x7 x5 x5

if we will multiply given number with five we will get group of 3

so 5 is smallest number

so the new cube will be 42825 and it will be the cube of 35

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