Factbox: Who might be Britain's next prime minister if May quits?

British Prime Minister Theresa May offered on Wednesday to quit if her twice-defeated EU divorce deal passes, in a last-ditch attempt to persuade Eurosceptics to back it.Gove, one of the highest-profile Brexit campaigners during the 2016 referendum, has had to rebuild his cabinet career after falling early to May in the contest to replace David Cameron, who resigned the day after losing the referendum.Seen as one of the most effective members of cabinet in bringing forward new policies, the high