Jaettava

Jaettava is a Finnish mathematical term used to describe a number that can be divided by another number without leaving a remainder. It is formed from the verb jakaa, meaning to divide, with the present-participle suffix -va, and is commonly used as an adjective in phrases such as jaettava luku, meaning the dividend or the number to be divided.

Definition and usage: A number a is jaettava by a number b when there exists an integer c such that a = b × c. Equivalently, a mod b = 0. The concept is central to divisibility, factorization, and modular arithmetic. In practice, a isjaettava luku with respect to b is often contrasted with the divisor (jakaja) and the quotient (osamäärä), while any remainder (jäännös) is zero in a true jaettava division.

Examples: 12 is jaettava luvulla 3, since 12 = 3 × 4 and the remainder is 0. Similarly, 15 is jaettava luvulla 5 (quotient 3). If division leaves a remainder, such as 14 jaettava luvulla 3, the result is not a jaettava division.

Linguistic notes: The term is primarily used with integers, as divisibility is defined for whole numbers. In other contexts, other phrases may be used to describe divisibility properties, but jaettava remains standard in educational and mathematical texts in Finnish.

Related terms: Jakaja is the divisor, osamäärä the quotient, and jäännös the remainder. The concept of jaettava is foundational in topics such as prime factorization, greatest common divisor, and modular arithmetic.