The social media site paid just £4,327 in tax in 2014, while in the following year HMRC paid £27,000 for adverts placed on the site to advise people on their tax payments.
The figures obtained by Channel 4 were released under the Freedom of Information Act. HMRC has also spent £5,000 in advertising on Twitter between February 2015 and January 2016, the investigation found.
Facebook made an accounting loss of £28.5m in Britain as it paid out more than £35m to its 362 UK staff in a share bonus scheme. Globally, Facebook made a profit of £1.9bn on revenues of £8.2bn in 2014.
Overall, government departments spent £489,329 in 2014 to 2015 on Facebook in the UK.
A spokesperson for the HMRC said: "Our investment in social media is carefully evaluated to ensure we are getting maximum value for the taxpayer."
Facebook told Channel 4: "We are compliant with UK tax law and in fact all countries where we have employees and offices."