In order for your business to accept credit card and debit card payments, you'll need to open a merchant account. Once you've decided which merchant services provider you'd like to open an account with, you'll begin the application process. During this process, you will most likely be asked to provide your Social Security Number and home address.
Sharing this information fulfills a legally mandated requirement meant to protect against illicit financial activities and will be required by most major banks or credit card processors that you file an application with.