Even Numbers : How to identify

A number that is exactly divisible by 2 is termed an even number. In other words, an even number is a number when divided by 2 leaves no remainder.
Examples of even numbers are  2,4, 6, 8, 10,12,14,16, etc.

How to Check if a Given Number is Even Without Dividing it by 2

To know whether the given number is even or not, simply observe the unit’s digit or one’s digit of the given number.
If the unit place the given number contains digits 0, 2, 4, 6, or 8, then the given number is an even number. Whereas, If the units place of the given number contains digits 1, 3, 5, 7, or 9, then the given number is termed as an odd number.

Example

  • Identify whether 6580 is an even number or not without dividing it by 2.
    As we know, the number with unit digits 0,2, 4,6, and 8 are termed as an even number. As the unit digit of 6580 is 0. Hence, it is an even number.
  • Identify whether 3541 is an even number or not without dividing it by 2.
    As we know, the number with unit digits 0,2, 4,6, and 8 are termed as an even number. As the unit digit of 3541 is 1. Hence, it is not an even number but an odd number.

List of Even Numbers From 2 to 100

There are total of 50 even numbers from 2 to 100.

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

Properties of Even Numbers

  1. 1. If you add or subtract two even numbers, the result will always be an even number.
    Example: 34 + 10 = 44; 18 – 12 = 6
  2. If you add or subtract an even number with an odd number, the result will always be an odd number.

Example: 35 + 16 = 51; 20 – 15 = 5.

  1. If you multiply two even numbers, the product will always be an even number.

Example: 16 x 2 = 32

  1. If you multiply an even with an odd number, the result will always be an even number

Example: 6 x 5 = 30; 18 x 3 = 44

  1. If you divide an even number by 2, the remainder will always be 0.

Example. 64, when divided by 2, gives quotient 32 and remainder 0.

 

Composite Numbers

All the natural numbers that have more than two factors apart from one and the number itself is termed composite numbers. In other words, all the natural numbers which are not prime numbers and have more than two factors are considered composite numbers.

All the natural numbers that are not prime numbers are considered composite numbers because you can easily divide these numbers by more than 2 numbers.  For example, 8 is a composite number because it can evenly divide by 1, 2, 4 and 8 itself such as

 

  • 8÷1 = 8
  • 8÷2 = 4
  • 8÷4 = 2
  • 8÷8 = 1

Two Types of Composite Numbers

The two types of composite numbers are

  1. Odd Composite Numbers
  2. Even Composite Number

 

Odd Composite Number – All the odd numbers that are not prime numbers are termed as odd composite numbers. For example 9, 49, 35, etc.are odd composite numbers.

Even Composite Number – All the even numbers that are not prime numbers are termed even composite numbers. For example 6, 14,26,etc. are even composite numbers.

Steps to Find a Composite Number

The steps to find whether the given number is a composite or not are given below:

  1. The first step is to find out all the factors or divisors of a given number.
  2. If you find the numbers with more than 2 factors, then the number is considered a composite number.

Example:

Example 1: Is 26 a composite number?

Solution:

Given number = 26

Factors or Divisors of number 26 are 1, 2, 13, and 26

As 26 has more than 2 factors, it is a composite number.

 

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