Definitions from the Web
Term: by a factor of
Description: "By a factor of" is a mathematical phrase used to describe the extent of increase or decrease of a particular value in relation to another value. It signifies the ratio by which one value is multiplied or divided to obtain the other.
Part of Speech: Phrase
Senses/Usages:
- Mathematical Sense: When used in a mathematical context, "by a factor of" signifies the multiplier or divisor by which a quantity changes. It indicates the scale or magnitude of change in relation to a reference point or benchmark value.
- Figurative Sense: In a figurative sense, "by a factor of" is used to describe a considerable or significant change or difference between two things or situations that may not be directly quantitative or numerical. It emphasizes the substantial degree of alteration or variation.
Sample Sentences:
- The population of the city increased by a factor of 2.5 over the past decade.
- Our revenue decreased by a factor of 0.75 compared to the previous quarter.
- By a factor of sheer determination and hard work, she succeeded against all odds.
- His performance improved by a factor of ten after receiving professional training.
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