divisor / factor
Loading your saved state.
factor / divisor
In mathematics, a whole number by which another whole number can be divided without a remainder.
Die Zahl 4 ist ein Teiler von 12, weil 12 geteilt durch 4 gleich 3 ist.
The number 4 is a factor of 12 because 12 divided by 4 equals 3.
divisor
In a division problem, the number by which another number is divided; the divisor.
Bei der Rechnung 10 : 2 = 5 ist die 2 der Teiler.
In the calculation 10 : 2 = 5, the 2 is the divisor.
'Teiler' (divisor/factor) is derived from the verb 'teilen' (to divide/share). The ending '-er' turns the verb into a noun that describes the person or thing performing the action. So a Teiler is literally 'something that divides.'
Wenn man eine Zahl teilt, braucht man immer einen Teiler.
When you divide a number, you always need a divisor.
The word 'Teiler' (divisor/factor) is used almost exclusively in a mathematical context. It is rarely used in everyday conversation.
Im Mathematikunterricht lernen wir heute, was ein Teiler ist.
In math class today, we're learning what a divisor is.
When one number divides another without a remainder, the preposition 'von' (of) is used. When describing a division problem, 'Teiler' often appears without a preposition as the name for a position in the calculation.
Die Zahl 7 ist ein Teiler von 49.
The number 7 is a factor of 49.
A very common and important combination in mathematics is 'größter gemeinsamer Teiler' (greatest common divisor), often abbreviated as 'ggT' in German. It is the largest factor that two or more numbers have in common.
Der größte gemeinsame Teiler von 12 und 18 ist 6.
The greatest common divisor of 12 and 18 is 6.
