Definition

1. Noun:
   • An integer that is an exact divisor of some quantity: An aliquot part is a number that divides another number evenly, leaving no remainder. It is a factor or divisor of a given whole number.

Usage

• The term "aliquot part" is used in mathematics, specifically in number theory and arithmetic. It describes a precise divisibility relationship between two integers.
• It is a formal term. In less technical contexts, the words "factor," "divisor," or "exact divisor" are more commonly used.

Examples

• Noun:
  • In the equation 12 ÷ 3 = 4, the number 3 is an aliquot part of 12.
  • When finding the aliquot parts of 10, we list 1, 2, 5, and 10 itself.
  • The sum of the aliquot parts of a number (excluding the number itself) is studied in perfect number theory.

Advanced Usage

• "Aliquot" as an adjective: The word "aliquot" can also function as an adjective meaning "contained an exact number of times in something else."
  • An aliquot portion of the solution was taken for analysis. (Here, "aliquot" means a fractional part that divides the whole into equal segments.)
• Aliquot Sum: The sum of all the aliquot parts of a number, excluding the number itself.
  • The aliquot sum of 6 (1+2+3) is 6, which makes it a perfect number.

Variants and Related Words

• Aliquot (adj.): Forming an exact divisor.
  • An aliquot sample is one that represents a fraction of the whole.
• Divisor (n.): A number by which another number is to be divided.
• Factor (n.): A number that divides another number exactly.
• Submultiple (n.): A number that is an exact divisor of another; often used synonymously with aliquot part.

Synonyms

• Exact divisor
• Factor
• Divisor (when referring to division with no remainder)

Related Phrases

• Aliquot part of a number: This is the full, standard phrase to specify the relationship.
  • To find all aliquot parts of 18, determine all numbers that divide it without a remainder.

Noun

1. an integer that is an exact divisor of some quantity
   • 4 is an aliquot part of 12