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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.
Use the definition of divisibility to show that given any integers \(a\), \(b\), and \(c\), where \(a\neq0\), if \(a\mid b\) and \(a\mid c\), then \(a\mid(sb^2+tc^2)\) for any integers \(s\) and \(t\).
Essentially, the ∣ symbol indicates a divisibility relationship between two integers. It asserts that one integer is a divisor of another without leaving a remainder. Stated differently, if a a and b b are integers and a ∣ b a ∣ b, then there exists an integer c c such that b = a × c b = a × c.
List of all math symbols and meaning - equality, inequality, parentheses, plus, minus, times, division, power, square root, percent, per mille,...
Illustrated definition of Divisible: When dividing by a certain number gets a whole number answer. Example: 15 is divisible by 3, because...
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.
Divisible. When a dividend is divided by a divisor, and the quotient is a whole number with no remainder, the dividend is said to be divisible by the divisor. The figure below shows that 8 is divisible by 2, but not 3. On the left, we can see that 8 can be evenly divided into 4 groups of 2.
