Question: is the son of a prince still a prince

Answer: Yes, Prince of the United Kingdom of Great Britain and Northern Ireland is a royal title normally granted to sons and grandsons of reigning and past British monarchs. It is also held by the Duke of Edinburgh, husband and consort of Queen Elizabeth II. The title is granted by the reigning monarch, who is the fount of all honours, through the issuing of letters patent as an expression of the royal will.