Hamilton survived a scare at the start, when he ran wide at the first corner after locking a front tyre.
But otherwise he was untroubled en route to his 51st career win.
In the championship, the result changes little, and Rosberg can win the title by finishing second to Hamilton at the last two races of the season.
Hamilton is 19 points adrift with a total of 50 available in Brazil and Abu Dhabi.
Hamilton is 19 points adrift with a total of 50 available in Brazil and Abu Dhabi.
Rosberg can now regroup after a weekend on which Hamilton was in almost total control throughout.
The German will doubtless keep to his well-worn mantra that he is taking it one race at a time and trying to win each one, but he has the luxury of knowing he can afford to take it easy in both remaining races and clinch his first world title.
The German will doubtless keep to his well-worn mantra that he is taking it one race at a time and trying to win each one, but he has the luxury of knowing he can afford to take it easy in both remaining races and clinch his first world title.
