MathsEven Numbers- Introduction

Even Numbers- Introduction

Even numbers

Even Number- Introduction: Even number are the number that are divisible by 2. This includes 0, which is even because it is divisible by 2 both when divided by 2 and when multiplied by 2. Even numbers are often considered “balanced” because they are symmetrical when divided in half. The even numbers 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, and 24 are all divisible by 2.

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    List of Even numbers up to 100-

    2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100.

    Even Numbers- Introduction

    How to Check if a Given Number is Even or Not Without Dividing it By 2.

    • The easiest way to check if a number is even or not without dividing it by 2 is to use a bitwise operator. A bitwise operator is a type of operator that is used to manipulate bits within a number.
    • The bitwise operator that is used to determine if a number is even or not is the & operator. The & operator is used to determine if two numbers are both even or both odd.
    • If two numbers are both even, the & operator will return a value of 2. If two numbers are both odd, the & operator will return a value of 1. If two numbers are not both even or both odd, the & operator will return a value of 0.
    • To use the & operator to determine if a number is even or not, the number is first bitwise-and’ed with 0. If the number is even, the result of the bitwise-and will be 0. If the number is odd, the result of the bitwise-and will be 1.
    • The following code example demonstrates how to use the & operator to determine if a number is even or not.

    var number = 6;

    var isEven = number & 0;

    console.log(isEven); // logs “true”

    Properties of Even numbers

    An even number is an integer that is divisible by 2. The following are some properties of even numbers:

    – An even number is an integer that is divisible by 2.
    – The sum of two even numbers is even.
    – The product of two even numbers is even.
    – The difference of two even numbers is even.
    – Every other even number is two more than some other even number.

    Property of Addition of Even Numbers

    The property of addition of even numbers states that when two even numbers are added together, the result is always an even number.

    Property of Subtraction of Even Numbers

    The property of subtraction of even numbers states that the difference of two even numbers is another even number.

    Property of Multiplication of Even Numbers

    The property of multiplication of even numbers states that if two even numbers are multiplied, the result is also an even number.

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