Why are Composite Numbers Important?

  • 7 days   ago
Composite Numbers, Types of Composite Numbers, Odd Composite Numbers

What are Composite Numbers?

Numbers can be categorized based on the number of factors they have called Composite numbers. If a number has just two factors - number 1 and the number itself, then it is a prime number. The numbers that have more than two factors are termed composite numbers. Composite numbers can be explained as natural numbers that have more than two factors. In other words, a number that is divided by a number other than one and the number itself is known as a composite number. Let us read more about composite numbers with examples. 

Examples: 4, 6, 10, 12, and 11 are the initial few composite numbers. Let's take 4 and 6 in this example. The numbers 4 and 6 are denominated composite numbers because they are made by merging other numbers. This approach is important, and we used it in a theorem called the Fundamental Theorem of Arithmetic. Let us now advance to understand the essential features of composite numbers.

Properties of Composite Numbers

A composite number is a positive integer that can be calculated by doubling two smaller positive integers collectively. The fundamental properties of a composite number listed below: 

All composite numbers are equally divided by smaller numbers that can be prime or composite.

All composite numbers are made up of two or more prime numbers.

In order to solve questions related to the properties of composite numbers, students can solve 

Types of Composite Numbers:

The two chief types of composite numbers in mathematics are Odd Composite Numbers and Even Composite Numbers. Let us have a look at the two of them separately: 

Odd Composite Numbers

All the odd integers which are not prime numbers are known as odd composite numbers in the number system. For example, 9, 15, 21, 25, 27 are all odd composite numbers. Let us consider the numbers 1, 2, 3, 4, 9, 10, 11, 12, and 15. Here 9 and 15 are the odd composite numbers because these two numbers have odd divisors and meet the composite number conditions. 

Even Composite Numbers

All the even numbers which are not prime numbers in the number system are known as even composite. 4, 6, 8, 10, 12, 14, 16 are even composite numbers in this particular example. Let us consider the numbers 1, 2, 3, 4, 9, 10, 11, 12, and 15. Here 4, 10, and 12 are the even composites because they have even divisors and meet the composite number conditions. 

Smallest Composite Number

A composite number is interpreted as a number that has divisors other than one and the number itself. Let us start by counting: 1, 2, 3, 4, 5, 6, .... so on. Here number 1 is not composite because its single divisor is 1 itself. Similarly, even number 3 is not composite because it has only two divisors. Now let us look at number 4. Its divisors are 1, 2, and 4 that is more than two. Number 4 meets the criteria of a composite number. So, 4 is the smallest composite number on the number line.

 

Why are Composite Numbers Important?

Composite numbers are an important concept of mathematics. Students can practice and solve problems related to Composite numbers with the help of worksheets and workbooks which are available online and offline. When it comes to worksheets, Cuemath interactive worksheets are the best! 2nd grade math worksheets by Cuemath help students explore the topic in the most interesting way. These worksheets are free to download in various formats.

Composite Numbers is one of the most vital and fundamental concepts in mathematics and the number system. Composite numbers help students to identify a specific number and give its properties. They help in making our numerical calculations easier and quicker. Composite numbers make mathematical operations a lot faster and accurate. They will boost the student’s thinking capacities and abilities. Mental math will be much easier when they know the basics of the concerts thoroughly. Composite numbers will help students calculate faster and will be able to use these concepts in their day-to-day lives as well.

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