Divisibility by 2

Topic

Prime and Composite Numbers

Definition

Divisibility by 2 refers to the property of an integer being divisible by the number 2 without leaving a remainder.

Description

Divisibility by 2 is a fundamental concept in the study of prime and composite numbers. An integer is divisible by 2 if it is an even number, which means its last digit is either 0, 2, 4, 6, or 8. This property is crucial for determining whether a number is prime or composite. A prime number has exactly two distinct positive divisors: 1 and itself. Therefore, if a number greater than 2 is divisible by 2, it cannot be prime because it has at least three divisors: 1, 2, and the number itself. Conversely, composite numbers have more than two divisors, and being divisible by 2 is often the first step in identifying these additional divisors.

For a complete collection of terms related to primes and composites click on this link: Prime and Composites Collection.