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The prince's Clarence House office said he is displaying mild symptoms, "but otherwise remains in good health and has been working from home throughout the last few days as usual."
The 71-year-old's wife, Camilla, has been tested but does not have the virus.
"In accordance with Government and medical advice, the Prince and the Duchess are now self-isolating at home in Scotland," a Clarence House spokesman said.
The palace spokesman added that Charles had taken part in "a high number of engagements" over the recent weeks and that it's not known from whom he contracted the virus. His most recent public event was dinner in London to aid Australian bushfire relief efforts.
Charles met his mother, Queen Elizabeth II, briefly on the morning of March 12, a Buckingham Palace spokesperson told Fox News.
“Her Majesty, The Queen, remains in good health," the spokesperson said. "The Queen last saw the Prince of Wales briefly after the investiture on the morning of the 12th of March and is following all the appropriate advice with regard to her welfare."
As the virus continued to spread, the queen moved from London to Windsor Castle last week, which was a week earlier than planned. She will likely stay there after Easter.
While some events, like audiences at Buckingham Palace, will go on as planned, others, where the queen was set to appear before large numbers of people, will be canceled or postponed, the royal family said in a statement.
“As a sensible precaution and for practical reasons in the current circumstances, a number of changes are being made to The Queen’s diary,” the statement read.