Question

Find the smallest number by ehich 3087 must be divided so that quotient is/a perfect cube

Answer 1

3087 = 3 x 3 x 7 x 7 x 7

so we have a triplet of 7 but triplet of 3 is missing so we need to remove the remaining 3's too so this number should be divided by 9 to make quotient a perfect cube

when 3087 will be divided by 9 we will get 343 as quotient and 343 is a perfect cube of 7