Hogwarts Legacy features more than its fair share of puzzles, some of which require players to really use their brains. This is definitely the case with the many Arithmancy door puzzles that can be found around the iconic school of witchcraft and wizardry, with players needing to solve a basic algebraic equation or two in order to gain access to the chests inside.

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Though solving the number puzzle doors in Hogwarts Legacy can be a little tricky at first, players will soon come to understand exactly how they work. After that, opening the doors becomes incredibly easy, with players just needing to do a little bit of substitution and then some basic addition.

Updated May 5, 2023, by Tom Bowen: Players will encounter Hogwarts Legacy's number puzzles fairly on during their playthrough, but figuring out how to solve them will take a little bit of time. That said, once players do understand the code for solving Arithmancy door puzzles in Hogwarts Legacy, they shouldn't have too much trouble getting them open and claiming the valuable rewards on the other side.

How to Open Number Puzzle Doors in Hogwarts Legacy

There are three steps to solving Arithmancy door puzzles in Hogwarts Legacy, the first of which is to properly understand the code. Thankfully, it's actually a fairly straightforward one, with each of the number puzzle doors providing players with the solution in plain sight. Around the edge of every door's frame, players will see 10 images, each one representing a different number, with a unicorn being one, a spider depicting eight, and so on. From left to right, the pictures here represent the numbers zero through nine.

There's a scrap of paper explaining the Arithmancy door puzzle code in a chest near the Divination classroom, which is found in the Library Annex area of Hogwarts. However, players do not actually need to find the Arithmancy study guide page in order to be able to open the doors.

Once they understand the code, players can interact with the door to reveal its secrets. This will present players with two mathematical questions, with players then having to choose the two images needed to complete the equation. Effectively, they'll need to make it so that the numbers and images around the outside add up to equal the number in the middle. For example, if the number in the middle is 11 and the outer circles contain the number two, a picture of a spider (eight), and a question mark, players will need to turn the nearby question mark dial until it reveals a unicorn (one).

Images representing even numbers and zero will always appear on the left dial, while images representing odd numbers will always appear on the dial on the right. As such, players can deduce that ? must always be even or zero and ?? must always be odd.

The next step is to actually find the two dials, one of which will begin on a single question mark (?) and the other one starting on two (??). Players will then need to turn these dials until they show the correct pictures needed to complete the two equations, after which, interacting with the door again will cause it to open. Players can then gain access to the chests inside, some of which can contain cosmetic items and gear. The two dials that players need to turn may be right next to the door, but they can sometimes be hidden in adjoining rooms or even on the floors above or below.

Hogwarts Legacy Number Puzzle Locations and Solutions

There are 12 Arithmancy doors in Hogwarts Legacy, each of which will require players to solve a simple mathematic equation. Sadly, there's no Trophy or Achievement for solving all of the number puzzles in Hogwarts Legacy, but players will at least get some pretty decent gear for doing so.

Hogwarts Legacy is available now on PS4, PS5, Xbox One, Xbox Series S|X, and PC. A Switch version is currently in development.