factor v
Học thuậtThân thiện
Definition
Verb: - To resolve into factors; to factorize: To express a number or mathematical expression as a product of its factors. - To be a contributing element; to consider as relevant in a decision-making process: To include something as a relevant component when analyzing or deciding.
Usage
- Mathematical Context: Used when breaking down a number or polynomial into its multiplicative components.
- Before solving the equation, you must factor the quadratic expression.
- Analytical/Decision-Making Context: Used when treating something as a variable or element in an analysis.
- Economic stability is a key issue to factor into your investment plans.
- The committee will factor public opinion before making a recommendation.
Advanced Usage
- "factor in": To include something as a relevant part of a calculation or plan.
- You need to factor in traffic delays when estimating your travel time.
- "factor out":
- (Mathematics) To remove a common factor from terms of an expression.
- You can factor out the variable 'x' from both terms.
- (General) To exclude something from consideration.
- After we factor out the seasonal variations, the sales trend is flat.
Variants and Related Words
- Factor (noun): An element or circumstance that contributes to a result.
- Cost is a major factor in our decision.
- Factorization/Factoring (noun): The process or result of factoring a mathematical expression.
- The factorization of the number 12 is 2 x 2 x 3.
Synonyms
- Decompose (Mathematical sense)
- Consider
- Incorporate
- Take into account
Related Phrasal Verbs
- Factor into: Similar to "factor in," meaning to include as a component.
- How does this new data factor into your hypothesis?
Related Idioms
- The x-factor: An unknown or intangible quality that has a significant effect.
- The team's camaraderie was the x-factor in their championship win.(Note: This idiom uses "factor" as a noun component.)