In what was an underwhelming and uneventful finish to the season, Bottas took victory over Hamilton and Ferrari's Sebastian Vettel in the season-ending podium.
The Finn produced a brilliant drive to ensure that Mercedes had the perfect finish to a hugely successful season.
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The win was the third of Bottas's career and season, denying Hamilton a 10th Grand Prix victory of the campaign.
Vettel took third place to finish runner-up in a championship that Hamilton won in Mexico last month.
Mercedes had already won the constructors' championship for the fourth year in a row. The one-two finish was their fourth of the season.
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