It may not be the fan, but that is the first place to look. They are cheap, and relatively easy to replace. You need one anyway. If you have a dog or a cat, it may just be filled up with dust and hair.
Often, though, it is a failed component, such as a hard drive that is not detected, a video graphics unit, memory module, or motherboard.
The parts are not easy to get in these off-breed laptops. so if you need it quickly, your best choice is to take it to a skilled, certified laptop repair person, buy the part online and install it yourself, or better yet, buy an IBM Thinkpad, Dell Latitude, or HP laptop that is less likely to fail... and for which there is service and support.