What object sorts students into their houses?

The story behind the answer

The Sorting Hat is correct because, at Hogwarts, each first-year has the enchanted hat placed on their head so it can read their traits—bravery, ambition, intelligence, and loyalty—and assign them to Gryffindor, Slytherin, Ravenclaw, or Hufflepuff. It’s sentient and even considers a student’s preference, leading to famous “hatstall” debates when it takes a long time to decide.

Fun context: The hat once belonged to Godric Gryffindor and was enchanted by the four founders to carry their combined wisdom. It traditionally sings a new introductory song each year and, in rare moments of need, has produced the Sword of Gryffindor. Memory tip: “Hat handles houses”—no medallion, compass, or banner can read a mind like the Sorting Hat.