What does factor mean in math Meaning and Definition

Pronunciation

/ˈfæktər/ 🔊

Part of Speech

Noun

Definition

A quantity or factor that affects the outcome or result of a mathematical operation, such as a number that divides another number exactly without leaving a remainder.

Examples

• The factors of 12 are 1, 2, 3, 4, 6, and 12.
• In the equation x^2 + 5x + 6, the factors are (x + 3) and (x + 2).

Synonyms

• Multiplier
• Divisor

Antonyms

• Product
• Result

Additional Information

In mathematics, factors are used to simplify equations, find multiples, and solve problems. Factors can be prime numbers or composite numbers. Understanding factors is essential in various mathematical operations, such as algebra, geometry, and calculus.

Finding factors is a crucial skill in mathematics, as it helps in solving equations, graphing functions, and working with fractions. Factors are also used in real-world applications, such as finance, physics, and engineering.

Etymology

The word “factor” comes from the Latin “factor,” meaning “doer” or “maker.” It was first used in the 14th century to refer to a person who acted on behalf of another. In the 16th century, the term began to be used in mathematics to describe a quantity that affects the outcome of an operation.

Usage Notes

Factors can be used as nouns or verbs, depending on the context. When used as a noun, a factor refers to a quantity that affects the outcome of an operation. When used as a verb, to factor means to find the factors of a number or equation.

Cultural References

The concept of factors has appeared in popular culture, such as in movies and TV shows that feature mathematics or problem-solving. For example, the TV show “Numb3rs” often uses factors to solve crimes and crack codes.

Idiomatic Expressions or Phrases

• “Factor in” means to consider or include something in a calculation or decision.
• “Factor out” means to remove or exclude something from a calculation or consideration.

Related Words or Phrases

• Multiples
• Prime numbers
• Composite numbers

Collocations

• Factor into
• Factor out
• Common factor

Frequency of Use

The word “factor” is commonly used in mathematical contexts, but it also appears in everyday language to describe things that affect the outcome of a situation.

Common Misspellings

• Facotr
• Fakror
• Facter