German has no single plural ending. There are five main patterns, an umlaut that may or may not join them, and a group of nouns that change nothing at all. Which one a noun takes is a property of the word — but gender predicts a great deal, so the system is far less arbitrary than it first appears.
The five endings
Gender predicts the pattern
Feminine nouns take -n or -en almost without exception, and they never take an umlaut. Since the feminine endings are themselves predictable — anything in -ung, -heit, -keit, -schaft or -ion is feminine — a large share of German plurals can be worked out rather than memorised.
die Wohnung → die Wohnungen
die Freiheit → die Freiheiten
die Nation → die Nationen
Feminine nouns ending in -in double the n before the ending: die Lehrerin → die Lehrerinnen, die Ärztin → die Ärztinnen. This group is large, because it covers the feminine form of every profession.
The nouns that change nothing
Masculine and neuter nouns ending in -er, -en or -el usually add no ending at all. Only the article tells you it is plural.
der Lehrer → die Lehrer
das Fenster → die Fenster
der Löffel → die Löffel
Some of this group take an umlaut instead of an ending: der Vater → die Väter, der Bruder → die Brüder, der Garten → die Gärten.
The umlaut
The stem vowels a, o, u and au can shift to ä, ö, ü, äu in the plural, usually alongside an ending.
der Mann → die Männer
die Hand → die Hände
der Baum → die Bäume
das Haus → die Häuser
It never happens to e or i, and never to a feminine noun taking -en. So die Frau stays die Frauen, not die Fräuen.
-s is for borrowed words
The smallest group, and the easiest to spot: das Auto, das Hotel, das Baby, der Chef, das Sofa, die Kamera. If the word looks like it came from English, French or Italian, it probably takes -s. Abbreviations do too: der Lkw → die Lkws.
The article never varies
Whatever the ending, the plural article is die in the nominative and accusative — for every gender. That is one of the few places where German gets simpler in the plural rather than harder.
The dative plural adds -n to the noun — unless it already ends in -n or -s, in which case there is nothing to add: den Frauen, den Autos.
How to learn them
Learn the plural with the noun, like the article. The most efficient form to memorise is all three parts at once: der Hund, die Hunde. Learning the singular alone means relearning it later.
Use gender as your first guess. Feminine? Almost certainly -n or -en. Masculine or neuter ending in -er, -en, -el? Probably no ending. That covers a large share of everyday vocabulary before you have memorised anything.
Drill the ones you get wrong. The practice app tracks which nouns you miss and brings them back rather than repeating the ones you already know.
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