How does a prime minister get elected?

Prime Ministers do not stand for election in their own right.

Every 5 years in the United Kingdom the Sovereign dissolves Parliament and a General Election is called. The Sovereign has the prerogative to ask any elected politician to be her Prime Minister. Normally this would be the leader of the political party with an overall majority in Parliament on the basis that he or she would have the confidence of Parliament. She could, in theory, select someone else. As a result of a Hung Parliament after the 2010 elections Gordon Brown resigned and recommended to Queen Elizabeth II that David Cameron be appointed Prime Minister.