Deductive proof?

Question

A deductive proof is used to prove that the product of any two consecutive whole numbers is even is started below. What could the next step be?

One of the two consecutive numbers is even and therefore has a factor of 2.

A) Since the product is even it has a factor of two.
B) Since the product will also have a factor of 2, the product will be even.
C) Since the numbers have a factor of two they are even.
D) Since the numbers are consecutive their product is even.

Answer 1

B

Answer 2

A.