What is the prime factorization of 4!4!4! (where 4!=4×3×2×14! = 4 \times 3 \times 2 \times 14!=4×3×2×1)?
23×32^3 \times 323×3
22×32^2 \times 322×3
2×3×42 \times 3 \times 42×3×4
242^424