What company makes video games

I'm not exactly sure what you mean. Do you mean the companies (game publishers) that make the consoles and a lot of the games? In that case it's Sony-Playstation
Microsoft-Xbox
Nintendo-Wii,Ds,Dsi,3Ds
Or video game developers like: Capcom, Atari, Sega, Activision, Neversoft, Electronic Arts (EA), and Square Enix
those being the main ones, but not all of them. The difference between Publishers and Developers is Publishers make their own console and software for the consoles whereas developers make software for consoles made by publishers. Some developers e.g. Sega and Atari used to make consoles but have since become developers.
The way your question was phrased made it sound as if only one company made games, but in fact there is many of them. If you are already a gamer, I apologise as this whole answer will sound VERY patroising