aliquote

Definition

1. Noun (Mathematics): "aliquote" is a term referring to a part or portion; specifically, an aliquot part is a number that divides another number evenly without a remainder. In arithmetic, it is synonymous with "aliquot part" (e.g., 3 is an aliquote of 12 because 12 ÷ 3 = 4).

Usage Examples

• (We seek a divisor that divides the number exactly.)
• (5 divides 20 evenly, with no remainder.)

Advanced Usage

• "to be an aliquote of": to be a divisor that divides another number exactly.

  • 7 is an aliquote of 28 because 28 divided by 7 equals 4. (7 is an exact divisor of 28.)

• "aliquote sequence": a sequence of numbers where each term is an aliquot part of the previous term (a concept in number theory).

  • The aliquote sequence starting at 12 proceeds: 12, 16, 15, 9, 4, 3, 1. (Each term is the sum of proper divisors of the previous term.)

Variants and Related Words

• Aliquot (adj): relating to an exact divisor; often used interchangeably with "aliquote" in modern mathematics.

  • An aliquot part of 30 is 6. (6 divides 30 evenly.)

• Aliquation (n): the process of dividing into aliquot parts.

  • The aliquation of the number 24 reveals its divisors. (The process of finding its exact divisors.)

Synonyms

• Divisor: a number that divides another number exactly.
• Factor: a number that multiplies with another to produce a given product.

Related Idioms

• (No common idioms exist for this technical term.)

Phrasal Verbs

• (No phrasal verbs are associated with this word.)