Blank Space Part 1

Logic Level 3

222=A \large 2 \, \square \, 2 \, \square \, 2 = A

There are 42=16 4^2= 16 ways in which we can fill the squares with +,,×,÷ + , - ,\times, \div.

How many distinct positive integer values can AA take?

Note:
You are not allowed to use parenthesis.
Obey the order of operations.

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