Factoring numbers into product of primes

Hey guys, need to confirm my answers for these following question.

Factoring the following numbers into the product of primes:

**a)** $\displaystyle 27$

*My Answer:*

= $\displaystyle 27 \cdot 1$

**b)** $\displaystyle 1024$

*My Answer:*

= $\displaystyle 2^{10}$

**c)** $\displaystyle 625000$

*My Answer:*

= $\displaystyle 2^3 \cdot 5^7$

**d)** $\displaystyle 12!$ (Also equals 479001600)

*My Answer:*

= $\displaystyle 2^{10} \cdot 3^5 \cdot 5^2 \cdot 7 \cdot 11$

Are my answers correct according to what the question is asking? thanks