None.
A yard is a measure of length or distance in 1-dimensional space while a square foot is a measure of area in 2-dimensional space. The two measure different things and, according to basic principles of dimensional analysis, conversion from one to the other is not valid.
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To convert inches to feet just divide by 12 (since there are 12 inches per foot) -284 / 12 = 23.67 feet
Well, isn't that just a happy little question! Let's see here, 8 yards is equal to 288 inches because 1 yard is 36 inches. So, 8 yards is indeed more than 284 inches. Remember, there are many ways to measure things, and each one is special in its own way.
3,056.95 sq feet.
This will depend on the direction you want your seam to be. There will be several ways to place a seam. Looking at were doors are, heavy traffic areas, and the type of carpet will determine this. You could buy 2) 12' x 16' pieces that would be 284 sq ft or 42.67 square yards depending on which way you prefer. The other way would be to put a seam along the side of the room. For this you would need 1) 12' x 23'6" piece and another 12' x 8' piece for fill along the side. With this method you would have 378 sq ft or 42 square yards.
There is no "the" factor: there are many. One of the factors of 284 is 2.