das Vielfache
multiple
A number or quantity that results from multiplying another number or quantity by a whole number.
EXAMPLE
Zwölf ist ein Vielfaches von drei.
Twelve is a multiple of three.
das Vielfache
multiple
das Vielfache
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Meanings
das Vielfache
multiple
A significantly larger quantity or number than the one mentioned; an amount several times as large.
EXAMPLE
Für das alte Haus mussten sie das Vielfache des ursprünglichen Preises bezahlen.
They had to pay a multiple of the original price for the old house.
um ein Vielfaches
many times over
To a significantly greater extent or much more strongly than before or than something else.
EXAMPLE
Seit der Renovierung ist die Zahl der Besucher um ein Vielfaches gestiegen.
Since the renovation, the number of visitors has increased many times over.
Forms
At a glance
| gender | neuter das |
|---|---|
| genitive | des Vielfachen |
The four cases
| singular | plural | |
|---|---|---|
| nominative | das Vielfache | – |
| accusative | das Vielfache | – |
| dative | dem Vielfachen | – |
| genitive | des Vielfachen | – |
The article changes with the case; it is shown in colour.
Usage tips
Word formation
'Das Vielfache' (multiple) is a nominalized adjective formed from 'vielfach' (multiple). 'Vielfach' is made up of 'viel' (much/many) and the suffix '-fach' (-fold); as a noun, the word is capitalized and declined like an adjective.
EXAMPLE
Jedes Vielfache von zehn endet auf null.
Every multiple of ten ends in zero.
Mathematical collocation
In mathematical contexts, 'Vielfache' (multiple) is often used with 'von' (of) and a number or another quantity. A particularly fixed expression is 'ein Vielfaches von' (a multiple of).
EXAMPLE
35 ist ein Vielfaches von 7.
35 is a multiple of 7.
Genitive construction
When 'Vielfache' (multiple) refers to a larger amount or quantity, it is often followed by a genitive with phrases such as 'des Preises' (of the price), 'der Summe' (of the sum), or 'des ursprünglichen Betrags' (of the original amount).
EXAMPLE
Der Schaden betrug das Vielfache der ursprünglichen Summe.
The damage amounted to a multiple of the original sum.
Fixed expression
The expression 'um ein Vielfaches' (many times over) often comes before a comparative and strongly intensifies it.
EXAMPLE
Die neue Methode ist um ein Vielfaches schneller.
The new method is many times faster.
In real life
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