Factual error: When they are arguing under the power lines, ARIA makes one of the power lines explode off the power line and kill someone. This is impossible as there is no way to pinpoint a surge of electricity to a single location like that. If anything were to happen at all during a surge a breaker or fuse would blow, however the wires would not snap and fall. Which brings me to the second point: there were no breakers or fuses where they were. Just to make it clear, no, those things holding up the wires on the power poles are just insulators keeping the wires from actually touching the power poles.
Factual error: Ethan Shaw is mentioned throughout the movie as graduating from the Air Force Academy, and also as a Lieutenant by other characters. When his brother Jerry Shaw is shown his brother's ID by ARIA (the eagle eye computer,) the ID shows Ethan Shaw as a SMSgt (Senior Master Sergeant). This is impossible by Air Force standards, even if he was a genius. It cannot be part of a fake cover as listing a 20-something year-old as a SMSgt would be so obviously fake as to be useless. No one in the Air Force would believe it and anyone competant enough to design ARIA and the infrastructure to accompany her would not make such a ridiculous mistake
Factual error: There is a scene where an F-16 pilot was ejected by ARIA. This is impossible as the ejection systems in fighter aircraft are purposely non-electrical (to prevent failure due to loss of power or EMP), and are shielded and controlled by isolated pyrotechnics and manual levers/cables, etc.
Factual error: The timeline of the movie is near the end of January 2009, as seen on cellphones throughout the movie. This would mean a new President would have been inaugurated only days before. Therefore, his address to Congress would not be called the State of the Union Address as this does not officially occur until the 2nd year of the Presidency.
Factual error: There is no multi-towered interstate in Indianapolis. The interstate shown is the Los Angeles freeway outside of LAX. When the Air Force plane left Dayton, there was a shot of the mountains outside of the airport. There are no mountains near Dayton.
Factual error: The Super computer causes the fire sprinklers to go off in a building. This is not possible at all. The only way to set off a fire sprinkler is by heating the fire sprinkler to about 160 degrees or by hitting it really hard. Just to make it clear, there are no electrical components connected to fire sprinklers by which someone or something can activate them remotely.
Factual error: In the beginning of the movie the kids speak Arabic, bu they are in Afghanistan. Official languages of Afghanistan is Pashto, Dari, and Urdu.
Factual error: After Jerry and Rachael steal the case, ARIA is shown somehow activating the sprinklers in a nearby bank to crowd the street. These kinds of sprinklers are controlled manually, not electronically. The only way the water can flow from the sprinkler heads is if a glass vial stopping water flow breaks from high temperature. There is no knob, switch, lever, or button that can activate these sprinklers. There's no way ARIA could interface with it, even in the future as it would never meet the fire code (if the sprinklers are electronically activated, what happens if a fire has destroyed the control mechanism?).