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Understanding The Concept of Composite Numbers

Composite Numbers

The world belongs to numbers and the numbers are the bases of the same. In our day-to-day life, we deal with the same. Mathematics, as we all know, depends on different types of numbers like odd numbers, even numbers, prime numbers, composite numbers, coprime numbers, etc. All the respective groups have some distinct properties that demarcate them from the others.

Here, the concept of Composite numbers will be discussed.

What are composite numbers?

The composite numbers include the set of all those numbers which have more than 1 different factor including one and the number itself. These numbers can be completely divided by at least one number other than 1 and itself. 1 isn’t considered as a composite number since it cannot be divided by any number other than itself.

Example of composite numbers:

6,12,18,22,45,65…etc. There is an endless list of composite numbers. Let’s observe whether these are composite or not.

Analysing 48 belong to the list or not…

48/2=24, 48/3=16, 48 /4=12, 48/6=8…and so on.

Here we saw that 48 has many factors or can be completely divided by various integers other than 1 & 48. This clarifies its position in the list of composite numbers. The other numbers/ integers can also be assessed similarly.

Now, mathematics has different versions of composite numbers, and to have complete knowledge, it’s important to have a look at the same.

Types of composite numbers

The number system has two types of composite numbers: the even composite numbers and the odd composite numbers.

  1. Even composite numbers: The even numbers (except 2) are non-prime numbers and as they all have more than 2 factors the set of even numbers (except for 2) lies under the composite set of the same. Example: 6, 678, 4,340 etc.
  2. Odd composite numbers: Non-prime odd numbers or commonly known as positive non-prime odd integers are said to be composite. These numbers, just like the even composite integers, have more than two factors that may divide the respective number without leaving any remainder, as in, 9, 45, 21, 99, 81, etc.

In simple words, it is said that the numbers that are not prime numbers are known as composite numbers.

How to check whether a number is composite or prime: Tips

  • All even numbers greater than 2 are composite numbers. (Remember)
  • The numbers that can be completely divided by any number other than one and themselves are composite.
  • Divisibility rules help to test the nature of numbers.
  • The prime factors can also help you to differentiate between composite and prime numbers.
  • 2 is the only even prime number of the number system and all the multiples of 2 are composite numbers.
  • On multiplying two prime numbers or prime and composite numbers or two composite numbers the result is composite.

*Divisibility rules are the shortcuts to check whether a number is divisible by others or not and that too without actual division.

Cuemath makes sure that you give the correct approach to your child and his understanding. The different types of composite numbers and the concept of prime and composite numbers are well explained with the reference to the charts and examples. The respective chart helps the child to understand the concepts quickly.

The best possible explanation results in better understanding and knowledge. The clarity of the topic is extremely important as these number systems form the base of mathematics. The students at Cuemath are taught simple and easy ways of learning. The composite numbers form a part of all the basic mathematical topics and are easy to apply with the clarity of the topic.

Composite Numbers
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