What does divisor mean?
A divisor is a number that divides another number exactly, producing a whole-number result with no remainder. In the calculation 24 ÷ 6 = 4, both 4 and 6 are divisors of 24 in this sense, though the term also applies more loosely to the quantity doing the dividing even when the result is not exact. Divisor is a staple of arithmetic and number theory: mathematicians speak of common divisors shared by two numbers, of prime divisors as the building blocks of integers, and of the greatest common divisor as a key tool for simplifying fractions. The word carries no emotional connotation; it belongs to formal, educational, and technical contexts, appearing constantly in textbooks, exams, and programming. Understanding divisors is foundational to grasping factors, multiples, fractions, and divisibility rules, which makes the term one of the most frequently encountered pieces of mathematical vocabulary.
nounA number that divides another number exactly, leaving no remainder; more generally, any quantity by which another quantity is divided.
- A number that divides another number evenly, with no remainder (mathematics).
- The quantity by which another quantity is divided in an arithmetic operation or expression.
"In the equation 24 ÷ 6, the number 6 is the divisor."
"Since 5 leaves no remainder when dividing 45, it is a divisor of 45."
"Check your work: if the divisor is zero, the division is undefined."
Standard regular plural; commonly used when listing all numbers that divide a given value.
"The number 28 has eight divisors, which is what makes it a perfect number."
Every whole number is a divisor of itself and of 1 — but only twelve numbers have exactly that pair plus nothing else, making them the loneliest numbers in mathematics: the primes.
Reviewed by Deb Chak, Editor. AI-assisted content curated by RJS Tech Solutions LLP.
Etymology of divisor
Divisor comes from Latin 'divisor', meaning 'one who divides', derived from the verb 'dividere' ('to divide'), formed from 'dis-' ('apart') and 'videre' ('to separate'). The term entered English in the 16th century through late Latin and mathematical usage. It shares its root with 'divide', 'division', and 'dividend', all reflecting the same core idea of separation into parts.
How divisor is actually used
Primarily a mathematical term with a neutral, technical register. In everyday arithmetic, 'goes into' often replaces it informally (e.g., '6 goes into 24').
Easily confused with divisor
The dividend is the number being divided, while the divisor is the number doing the dividing (dividend ÷ divisor = quotient).