Proper Divisor

B2 16+
Pronunciation Definitions Examples Grammatical Forms Origin and Evolution

Pronunciation: /ˈprɑpər dɪˈvaɪzər/

Definitions of proper divisor

noun a positive integer that evenly divides another integer, excluding the integer itself

Example Sentences

A1 A proper divisor of 6 is 3, as it divides 6 evenly and is less than 6.

A2 In mathematics, a proper divisor of a number is any divisor other than the number itself.

B1 To find all the proper divisors of a number, you need to list all the numbers that divide it evenly.

B2 Understanding the concept of proper divisors is essential in studying number theory and factorization.

C1 Mathematicians use proper divisors to analyze the properties of numbers and explore their relationships.

C2 The study of proper divisors plays a crucial role in the field of number theory and its applications in cryptography.

Examples of proper divisor in a Sentence

formal A proper divisor of a number is any divisor other than the number itself.

informal A proper divisor is any number that can divide into another number evenly, not including the number itself.

slang A proper divisor is like a buddy that can divide a number without being the number itself.

figurative In the math world, a proper divisor is like a helpful friend that can evenly divide a number without being the number itself.

Grammatical Forms of proper divisor

plural

proper divisors

comparative

more proper

superlative

most proper

present tense

properly divides

future tense

will properly divide

perfect tense

has properly divided

continuous tense

is properly dividing

singular

proper divisor

positive degree

proper

infinitive

to properly divide

gerund

properly dividing

participle

properly divided

Origin and Evolution of proper divisor

First Known Use: 1250 year
Language of Origin: Greek
Story behind the word: The term 'proper divisor' originated from ancient Greek mathematicians who studied divisors of numbers.
Evolution of the word: Over time, the term 'proper divisor' has remained consistent in its meaning of a divisor of a number that is less than the number itself.