If you want to say something BELONGS TO someone, or something, you use a POSSESSIVE ADJECTIVE (sometimes known as possessive determiners).
A possessive adjective is followed by a noun.
example: This is my computer.
(This computer belongs to me.)
example: Is this your coffee cup?
(The coffee cup belongs to you.)
example: Maria didn’t remember his name.
(The name belongs to a man/boy.)
example: Do you have her phone number?
(The phone number belongs to a woman/girl.)
example: That is their house.
(The house belongs to more than one person, not including me.)
example: This is our car.
(The car belongs to more than one person, including me.)
example: The dog licked its paws.
(The paws belong to the dog.)
Note: The incorrect use of ITS is one of the most common mistakes in written English.
If you want more information on the difference between possessive adjectives and possessive determiners, Wikipedia has a good explanation.
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