There are lots of great resources to learn to factcheck. Here's a 30 minute crash course to really bring you up to speed.
Note: this is a bit of date and says some things about News Detective that don't apply any more (Don't worry, all the actual content about fact-checking is fine.)
If you don't have time for that, here's a 3 minute video to get you started.
• Be respectful
• Always list your sources and include links so readers can check them for themselves.
• Use primary sources when you can, and only go to credible secondary sources if necessary.
• Try to rely on more than one source, especially for big claims.
• Point out if sources you quote have interests that could affect how accurate their evidence is.
• Watch for bias in sources and let readers know if you find anything that might influence their perspective.
• Show all the important evidence, whether it supports or goes against the claim.