Evaluate:

By prime factorization method we get;


2



1728



2



864



2



432



2



216



2



108



2



54



3



27



3



9



3



3




1



1728 = 2×2×2×2×2×2×3×3×3


= (2×2×2) × (2×2×2) × (3×3×3)


= 23 × 23 × 33


= (2×2×3) = 12


4