2972024860224303121534053135345315551
Prime factors of 9720 =2×2×2×3×3×3×3×3×5
The prime factors 3 and 5 do not appear in group of triplets.
So, 9720 is not a perfect cube.
If we divide the number by 3×3×5, then the prime factorisation of the quotient will not contain 3×3×5=45
∴9720÷45=2×2×2––––––––––×3×3×3––––––––––
=216=(6)3
Hence, the smallest number by which 9720 should be divided to get a perfect cube, is 45.