Synonyms in Detail: divisor and factor Usage & Differences

What context can I use each word in?

Learn when and how to use these words with these examples!

divisor

Example

6 is a divisor of 24 because 24 ÷ 6 = 4. [divisor: noun]

Example

To simplify the fraction, we need to find a common divisor for both the numerator and denominator. [divisor: noun]

factor

Example

3 and 4 are factors of 12 because 3 x 4 = 12. [factors: noun]

Example

To solve the equation, we need to factor out the common term. [factor: verb]

Good things to know

Which word is more common?

Factor is more commonly used than divisor in everyday language. Factor has a broader range of applications and is used in various contexts, including business, science, and technology. Divisor is a more specialized term used primarily in mathematics.

What’s the difference in the tone of formality between divisor and factor?

Both divisor and factor are formal terms used in mathematical contexts. However, factor is more versatile and can be used in both formal and informal settings, while divisor is primarily used in academic and technical writing.

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