
der Schlüssel
key
A metal tool used to open or close a lock.
Ich glaube, ich habe meinen Schlüssel in der Wohnung vergessen.
I think I forgot my key in the apartment.
key / wrench
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key
A metal tool used to open or close a lock.
Ich glaube, ich habe meinen Schlüssel in der Wohnung vergessen.
I think I forgot my key in the apartment.

key
The solution or access to a problem, a secret, or the understanding of something.
Bildung ist der Schlüssel zu einer besseren Zukunft.
Education is the key to a better future.

wrench
A tool for tightening or loosening screws and nuts. Often referred to as a wrench.
Kannst du mir bitte den 13er-Schlüssel geben?
Could you please give me the 13-millimeter wrench?

formula / key
A fixed formula or system according to which something is divided, calculated, or assigned.
Die Kosten werden nach einem festen Schlüssel auf alle Mieter verteilt.
The costs are distributed among all tenants according to a fixed formula.

key
A code or piece of information needed to encrypt or decrypt data.
Ohne den richtigen digitalen Schlüssel kann man die Datei nicht öffnen.
Without the correct digital key, you can't open the file.

clef
A symbol at the beginning of a staff that determines the pitch of the notes, e.g. treble clef or bass clef.
Die erste Note nach dem Violinschlüssel ist ein G.
The first note after the treble clef is a G.
'Der Schlüssel' (the key) is closely related to the verb 'schließen' (to close/lock) and the noun 'das Schloss' (the lock). With a key, you can close/lock or open a lock.
Ich kann die Tür nicht schließen, das Schloss ist kaputt.
I can't close the door; the lock is broken.
In the figurative meaning 'Lösung' (solution), 'Schlüssel' (key) is almost always used with the preposition 'zu' and the dative. It is the key to something.
Geduld ist der Schlüssel zum Erfolg.
Patience is the key to success.
For a door key or car key, compound words are often used that describe the purpose more precisely, e.g. 'Haustürschlüssel' (front door key), 'Wohnungsschlüssel' (apartment key), or 'Autoschlüssel' (car key).
Hast du den Ersatzschlüssel für das Auto gesehen?
Have you seen the spare key for the car?
The meaning 'Werkzeug' (tool) can be recognized from the context of crafts, repairs, or technology. Often the size is added as a number, e.g. 'ein 10er-Schlüssel' (a 10-millimeter wrench).
Für diese Schraube brauchst du einen anderen Schlüssel.
You need a different wrench for this screw.
In the meaning 'Verteilungsformel' (allocation formula), the phrasing 'nach einem Schlüssel' (according to a formula/key) or 'gemäß einem Schlüssel' (in accordance with a formula/key) is often used. This is typical in administrative or financial contexts.
Die Plätze werden nach einem komplizierten Schlüssel vergeben.
The places are allocated according to a complicated formula.
The meaning 'Code' (code) is common in the digital field. Words like 'digital' (digital), 'privat' (private), 'öffentlich' (public), 'Datei' (file), or 'verschlüsseln' (to encrypt) show that this kind of key is meant.
Sie müssen den privaten Schlüssel sicher aufbewahren.
You must keep the private key safe.
In a musical context, you can recognize this meaning from words like 'Noten' (notes), 'Notensystem' (staff), 'Violine' (violin), or 'Bass' (bass). The most common are the 'Violinschlüssel' (treble clef) and the 'Bassschlüssel' (bass clef).
Hohe Instrumente wie die Flöte werden im Violinschlüssel notiert.
High instruments such as the flute are notated in the treble clef.
solution
Die Lösung is the concrete remedy used to deal with a problem. Der Schlüssel, by contrast, is the decisive factor or access that makes this remedy possible in the first place. Lösung fits the completed measure, while Schlüssel refers to the most important step toward it.

Eine genaue Analyse der Stoßzeiten ist der Schlüssel zu kürzeren Wartezeiten.
A precise analysis of peak hours is the key to shorter waiting times.
Eine zusätzliche Kasse ist die Lösung für die langen Wartezeiten.
An additional checkout is the solution to the long waiting times.