Factor: meaning, definitions and examples

Used in mathematics to describe a number or algebraic expression that divides another number or expression evenly. It can also mean an element or component that contributes to a certain outcome in general contexts.

• In the equation 2x = 6, 2 is a factor of 6.
• Hard work is a key factor in achieving success.

Used in mathematics to describe the number by which another number (the dividend) is divided.

• In the division 20 ÷ 4, 4 is the divisor.

In mathematics, it refers to a number that can be divided by another number without leaving a remainder. It can also mean something that occurs in more than one instance.

• 15 is a multiple of 3.
• The project requires multiple steps to complete.

In mathematics, this refers to the number that is being divided. In finance, it refers to a payment made by a company to its shareholders from its profits.

• In the division 15 ÷ 3, 15 is the dividend.
• The company declared a dividend of $1.50 per share.

Used when referring to an element or component that contributes to a result or outcome.

• Weather is a major factor in determining the success of an outdoor event.
• We need to consider all the factors before making a decision.

Used when thinking carefully about something, typically before making a decision.

• Please consider my suggestion for the project.
• We need to consider all potential risks before moving forward.

Applied when including something as part of a whole, usually in a formal or systematic way.

• We need to incorporate feedback from our users into the final design.
• The new plan will incorporate changes suggested by the team.

Applied when examining something in detail to understand it better or to draw conclusions.

• The scientist will analyze the data from the experiment.
• Before we can solve the problem, we need to analyze it thoroughly.