Divisible

The term 'divisible' refers to a number that can be evenly divided by another number without leaving a remainder. In arithmetic, this implies that when one number is divided by another, the result is a whole number. divisible numbers form the foundation of many mathematical principles, including factors and multiples, and are often explored in number theory, algebra, and other mathematical disciplines.

Divisible meaning with examples

• In mathematics, the number 12 is divisible by 3, which means when you divide 12 by 3, you get 4 without any remainder. This illustrates the concept of divisibility, where whole numbers can be broken down into equal parts.
• Consider the number 25; it's not divisible by 6 since dividing 25 by 6 results in a quotient of 4 with a remainder of 1. This example highlights the importance of understanding divisibility to assess whether numbers can be evenly split.
• A classic test for divisibility by 5 is to check if a number ends in 0 or 5. For example, both 30 and 55 are divisible by 5, reflecting how certain rules streamline calculations in basic arithmetic.
• In programming, checking if a number is divisible by another can influence logic flow. For instance, creating an event every 4 seconds in an application could rely on evaluating whether a counter is divisible by 4.
• Divisibility plays a crucial role in fractions. When simplifying 8/12, knowing that both 8 and 12 are divisible by 4 allows us to reduce the fraction to 2/3, effectively simplifying our calculations.