Meaning & use

divisor

noun·Academicmathematics

Last updated

UK/dɪˈvaɪzə/
US/dɪˈvaɪzɚ/

Meanings

  1. nouncountable

    The number that you divide another number by in a division problem.

    Grammar: Countable: in 20 divided by 4, the divisor is 4.

    Patterns

    • the divisor of something
    • divide something by the divisor

    In the sum 36 divided by 9, the divisor is 9.

    If the divisor is zero, the division has no answer.

    Students circled the dividend in red and the divisor in blue.

  2. nouncountable

    A whole number that divides another whole number exactly, leaving no remainder.

    Grammar: Countable and often followed by of: 3 is a divisor of 12.

    Patterns

    • a divisor of something
    • a common divisor

    Both 2 and 6 are divisors of 12.

    The teacher asked us to list every divisor of 30.

    The greatest common divisor of 18 and 24 is 6.

Word forms

pluraldivisors

Common combinations

greatest common divisor
To simplify the fraction, find the greatest common divisor of the top and bottom numbers.
common divisor
The numbers 8 and 12 have 4 as a common divisor.
a divisor of
Is 7 a divisor of 49?
proper divisor
The proper divisors of 6 are 1, 2 and 3.
divide by the divisor
Divide the total by the divisor to find the average.

Synonyms and how they differ

factor
Factor is used for any number that multiplies to make another, and for whole numbers it means the same as divisor in the second sense; it is also common in everyday language.
denominator
Denominator is the bottom number of a fraction, which acts like a divisor but is named only in fraction contexts.

Word family

divide verb
to split into equal parts or find how many times one number fits into another
division noun
the process of dividing numbers
dividend noun
the number that is divided
divisible adjective
able to be divided exactly
indivisible adjective
not able to be divided

Commonly confused: divisor or dividend? divisor or quotient?

divisor vs dividend

The dividend is the number being divided, while the divisor is the number you divide by. In 10 divided by 2, 10 is the dividend and 2 is the divisor.

divisor vs quotient

The quotient is the answer to a division. It is neither the dividend nor the divisor.

Practice

In the calculation 48 ÷ 6 = 8, which number is the divisor?

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