 Some Important Properties of Even Numbers and Composite Numbers

Those numbers which can be split exactly into two pairs or groups are known as even numbers. Examples of even numbers are 6, 36, 366, 3666, etc. Let us take an example to understand the concept of even numbers more clearly. Suppose you have 20 chocolates with you and you want to distribute them equally among your 5 friends. If you want to distribute 20 chocolates among your 5 friends, each friend will get 4 chocolates. This is the case of even numbers. However, if there would have been 21 chocolates, you could not have distributed the chocolates among your friends equally. Thus, 21 is not an even number. Those integers which are not even numbers are called odd numbers. Examples of odd numbers are 57, 59, 61, etc. In this article, we will learn about various concepts of even numbers. We will also learn what a composite number is and what its properties are.

Some Important Properties of Even Numbers

• The summation of two odd numbers makes an even number.
• The summation of two even numbers is an even number.
• The summation of an odd number and an even number is an odd number.
• Same properties discussed above apply for subtraction as well.
• When an even number is multiplied by an even number, the product is an even number.
• When an odd number is multiplied by an even number, the product is an even number.

What Do You Mean by Composite Numbers?

Composite numbers are a set of numbers emerging from natural numbers that have more than two factors. If a number contains only two factors i.e the number itself and the number 1, then the number is known as a prime number. Examples of composite numbers are 10, 15, 20, 26, 27, etc. One important point to note about a composite number is that it can be expressed as the multiplication of two or more numbers of primes. Example: 6 can be written as 2 * 3 where 6 is a composite number and 2 and 3 are prime numbers. This type of representation is distinctive and this fact is commonly referred to as the fundamental theorem of arithmetic. There are various algorithms that can determine whether a number is a prime number or a composite number. Composite numbers are broadly categorized into two types. Let us discuss both types of composite numbers.

• Even Composite Numbers: The set of composite numbers which are evenly divisible by 2 are known as even composite numbers. Examples of even composite numbers are 36, 38, 52, 56, etc.
• Odd Composite Number: The set of composite numbers which are not evenly divisible by 2 are known as odd composite numbers, Examples of odd composite numbers are 9, 15, 21, 27, etc.

Some Important Properties of Composite Numbers

• Each composite number is formed with the help of two or more prime numbers.
• Every set of composite numbers is divisible by a smaller composite number or a prime number.
• The smallest prime number from the set of natural numbers is 4.

Process to Find Out Composite Numbers

The best method to figure out whether a number is a composite number or not is to perform the test of divisibility with the given number. If the number in consideration has more than two factors, then it is a composite number. We can easily identify composite numbers in the case of even composite numbers. Except for the number 2, every even number comes under the umbrella of composite numbers. The need to determine whether a number is a composite number with the help of a test of divisibility will only arise when the numbers end with the digit 1, 3, 7, and 9.

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