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In math, a number is said to be divisible by another number if the remainder after division is 0. Learn the important divisibility rules along with examples.
Definition. When a number gets completely divided by another number, without leaving any remainder, that number is said to be divisible by the other number. For example, 10 is completely divided by 2 and thus is divisible by 2 but it is not completely divided by 3 – leaving a remainder of 1 – and so is not divisible by 3.
The definition of divisibility states that an integer 'a' is divisible by another integer 'b' (where b ≠ 0') if there exists an integer 'k' such that a = b × k. This concept is fundamental in number theory, as it helps to establish relationships between numbers, especially when exploring properties like factors, multiples, and prime numbers.
Definition. Divisible is a mathematical term that describes a number or expression that can be evenly divided by another number without leaving a remainder. It is a fundamental concept in the context of dividing polynomials, as it determines the feasibility and ease of the division process.
The word 'divisible' means to be able to divide one number and get an answer that is an integer. Examples. 8 is divisible by 2 because the answer is 4 with no remainder.
Divisibility Rules: Definition. Divisibility rules are a set of general rules that are often used to determine whether or not a number is absolutely divisible by another number. Note that “divisible by” means a number divides the given number without any remainder, and the answer is a whole number.
