More than 800 people are employed at the 200-acre Rolls-Royce site at Ansty, near Coventry.
The factory handles the refit and repair of their aeroplane and marine engines. The company's Trent series of civil aviation engines components are also manufactured on the site.
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Around 70 people were taken away and offered support.
Wasps take on Exeter this Saturday and the Metropolitan Police have said there will be a full review of policing operations.
A member of public alerted the police after discovering the body.