Answer: 4
Step-by-step explanation:
Find all of the factor pairs of 120, then look for the ones that are even-odd
120
∧
120 1 even-odd
60 2 even-even
40 3 even-odd
30 4 even-even
24 5 even-odd
20 6 even-even
8 15 even-odd
10 12 even-even
There are 4 even-odd factors pairs for 120.