Before you begin, shut down all applications and files that are currently utilizing that hard drive. Otherwise, you will not be able to proceed with the formatting. Keep in mind that formatting a solid state hard drive will wipe everything on it, and that it is a difficult and time consuming process to attempt to retrieve anything off of it. Make sure to back up any files you want to keep on another hard drive!
First, go to “My Computers”. Right click the SSD that you wish to format. Then, simply press “format”.
You'll have two options from here: the Fat 32 format, or NTFS. NTFS is newer, faster, and more common, and generally considered to be the better of the two, but Fat 32 is still a respectable option if you are going to be using the SSD to interact with older computers that may not be compatible with NTFS. Here is an article discussing why you may want to consider using the NTFS format over the Fat32 format.
You'll also have the choice of whether to do a “quick” or “full” format. The primary difference between the two is that a full format will look for bad sectors on the drive, which is an issue for traditional spinning disk drives and not for SSDs. Therefore, the quick format should suffice, though a full format would do no harm either.
Select your options, and then sit back and watch your SSD format. That's it! Once the format is complete, feel free to begin using it. Don't forget to transfer any files you backed up previous to the format to the newly reformatted drive!