Square feet don't have prime factors.
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1 square inch = 0.006944 square foot (rounded) 1 square foot = 144 square inches
The conversion factor to change an area in square inches to square feet is 1 square inch is equal to 0.0069427252080 square foot. So, 100 square inches is equal to 0.69427 square feet using this conversion factor.
You look for a perfect square among its factors; if you factor it into prime factors, you would look for a repeated prime factor. Then you take that factor out of the root sign (taking the square root of it, while you do it).
The square yard is a square 3 feet on a side, so its area is 9 square feet. That means a square foot is 1/9th of a square yard. The scale factor is 1/9th.
A [perfect] square number, by definition, has a factor which is its square root. As a result it CANNOT be a prime!