Multiplu

Multiplu is a term in Romanian mathematics meaning “multiple.” In mathematics, a multiple of an integer n is any integer that can be written as the product of n and another integer.

Formally, m is a multiple of n if there exists an integer k such that m = n × k. The set of all multiples of n is { n × k : k ∈ Z }.

Examples: Multiples of 3 include -6, -3, 0, 3, 6, 9, 12. In many contexts, attention is focused on the positive multiples, such as 3, 6, 9, 12.

Properties: The multiples of n are evenly spaced by n and form an arithmetic progression. The set is closed under addition and subtraction of multiples of n, but not under division.

Relation to divisibility and LCM: A number m is a multiple of n if and only if n divides m. Common multiples of several numbers are numbers that are multiples of each of those numbers. The least common multiple (LCM) is the smallest positive common multiple of a given set of integers.

Usage and terminology: In Romanian mathematics, multiplu is the standard term for “multiple.” In English-language texts, the term “multiple” is used, while “multiplu” appears in Romanian materials. The concept underpins basic divisibility, factorization, and number-theoretic methods.