Based on the strategy for proving that every finite field is of prime order, which of the following pairs of steps accurately represent the initial stages of the proof:
A) 1. Establish that every finite field contains a prime field.
2. View the finite field as a vector space over its prime field.
B) 1. Use the properties of vector spaces to determine the order of the field.
2. Establish that every finite field is a unique factorization domain ?