divisor

/di'vaizə/
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divisor

The student writes the divisor in a long division problem.

Definition
  1. Noun:
    • The number by which another number (the dividend) is divided: In a division operation, the divisor is the number that divides the dividend to produce a quotient and possibly a remainder.
    • A factor: An integer that can divide another integer exactly, leaving no remainder. In this context, a divisor is synonymous with a factor of that number.
Examples of Usage
  • Noun:
    • In the equation 12 ÷ 3 = 4, the number 3 is the divisor.
    • The divisors of 6 are 1, 2, 3, and 6.
    • When performing long division, you write the divisor outside the division bracket.
Advanced Usage
  • "Greatest common divisor (GCD)": The largest positive integer that divides each of two or more integers without a remainder.
    • The greatest common divisor of 8 and 12 is 4.
  • "Proper divisor": A divisor of a number that is strictly less than the number itself (excluding the number).
    • The proper divisors of 6 are 1, 2, and 3.
Variants and Related Words
  • Divide (verb): To separate into equal parts or groups.
    • You divide the total by the number of people.
  • Divisible (adjective): Capable of being divided by a given divisor without a remainder.
    • 10 is divisible by 2.
  • Division (noun): The mathematical operation of dividing one number by another.
    • She is learning long division.
Synonyms
  • Factor: A number that divides another number exactly.
    • 3 is a factor of 15.
  • Denominator: In a fraction, the number below the line (divisor of the numerator).
    • In the fraction ¾, 4 is the denominator.
Related Phrases
  • "Trial divisor": A number tested as a possible divisor in an algorithm like long division.
    • In the first step, we use 3 as a trial divisor.
  • "Zero divisor" (Advanced Mathematics): In some algebraic structures, a non-zero element that, when multiplied by another non-zero element, gives zero.
    • In the ring of integers modulo 6, the numbers 2 and 3 are zero divisors because (2 × 3) mod 6 = 0.
divisor

The student writes the divisor in a long division problem.

Noun
  1. the number by which a dividend is divided
  2. one of two or more integers that can be exactly divided into another integer
    • what are the 4 factors of 6?

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