Why it trips people up
Most possessives in English do take an apostrophe (“the dog’s tail”), so “it’s” looks right for possession. But pronouns work differently: none of the possessive pronouns has an apostrophe. Once you see “its” as part of the his/her/its family, the rule sticks.
Its’ does not exist
There is no correct use of “its’” with the apostrophe after the s. If you are tempted to write it, you want “its”.
Catch it automatically
The grammar checker flags common mix-ups like this one by looking at the words around them, and the sentence checker can explain any sentence you’re unsure about.