In Mathematics, composite numbers are numbers the have much more than 2 factors. This numbers are also called composites. Composite number are just the the opposite of prime number which have actually only 2 factors, i.e. 1 and the number itself.  

All the herbal numbers which are not element numbers space composite numbers as they can be divided by an ext than 2 numbers. For example, 6 is a composite number due to the fact that it is divisible through 1, 2, 3 and also even through 6.

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In this article, we will discover the perform of composite numbers, smallest composite number, strange composite numbers along examples.


Table that Contents:Types of Composite Number

What space Composite numbers in Maths?

Definition 1: In Mathematics, composite numbers room numbers the have an ext than two factors.

Definition 2: The number which deserve to be generated by multiplying the 2 smallest optimistic integers and contain at least one divisor other than the number ‘1’ and itself are recognized as composite numbers. These numbers always have more than 2 factors.

Fact: any type of even number i m sorry is higher than 2 is a composite number.

Is 0 a Composite Number?

Zero (0) is thought about as no prime no one a composite number because it does no have any factors.

Composite numbers Examples

The instances of composite numbers are 6, 14, 25, 30, 52, etc, together that:


Composite numbersFactors
6 1, 2, 3, 6
141, 2, 7, 14
251, 5, 25
301, 2, 3, 5, 6, 10, 15, 30
521, 2, 4, 13, 26, 52

In every the above examples, we have the right to see the composite number have more than 2 factors. There space a variety of composite number we deserve to list the end of a set of organic numbers native 1 come 1000 or more. Let us see the list of composite numbers in the next section.

Properties of Composite Numbers

The nature of composite numbers are straightforward to remember.

Composite numbers have more than 2 factorsComposite numbers are evenly divisible by their factorsEach composite number is a element of itselfThe the smallest composite number is 4Each composite number will encompass at least two prime numbers together its determinants (Eg. 10 = 2 x 5, wherein 2 and 5 are prime numbers)Composite numbers are divisible by various other composite number also

List that Composite Numbers

Here is the perform of composite number from 1 to 100 in Maths. Students have the right to keep a note of this and also also shot to write the numbers beyond 100 because that practice, together composites native 1 come 200 or it rotates 500.

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Composite numbers Chart

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Download PDF – Composite Numbers


Composite number 1 to 200

The confident integers having more than two determinants are composite numbers. The list of Composite numbers from 1 come 200 are given listed below in the table.


4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100, 102, 104, 105, 106, 108, 110, 111, 112, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 128, 129, 130, 132, 133, 134, 135, 136, 138, 140, 141, 142, 143, 144, 145, 146, 147, 148, 150, 152, 154, 155, 156, 157, 158, 159, 160, 162, 164, 165, 166, 168, 170, 172, 174, 175, 176, 177, 178, 180, 182, 184, 185, 186, 187, 188, 189, 190, 192, 194, 195, 196, and 198.

How to find the Composite Number?

The actions to find whether a provided number is element or composite:

Find all the components of the confident integerA number is said to be prime if it has actually only 2 factors, 1 and itselfIf the number has much more than two factors, then it is a composite
Example: uncover if 14 is a composite number. Let us discover the components of 14.14÷1 = 1414÷2 = 714÷7 = 214÷14 = 1

As we can see, the components of 14 are 1,2,7 and also 14, so it is a composite number.


Types that Composite Numbers

There space two main types of composite numbers in Maths i beg your pardon are:

Odd Composite number or Composite odd NumbersEven Composite numbers or Composite also Numbers

Odd Composite Numbers

All the strange integers which are not prime space odd composite numbers. Examples of composite strange numbers space 9, 15, 21, 25, 27, 31, etc.

Even Composite Numbers

All the even integers which are not element are also composite numbers. Examples of also composite numbers space 4, 6, 8, 10, 12, 14, 16, etc.

Smallest Composite Number

4 is the the smallest composite number.

Why?

1 is not a composite number since the single divisor of 1 is 1. The hopeful integers 2 and 3 space prime numbers since it can be separated by only two factors, one and itself. For this reason 2 and 3 are not composite.

But in the instance of number 4, us have much more than two factors. The divisors the 4 are 1,2,4. So this number satisfies the condition of a composite number as mentioned above. ~ 4, 6 is the following composite optimistic integer, i m sorry has factors 1, 2, 3 and 6.

Hence, 4 is the the smallest composite number (Proved).


Important note on Composite numbersSmallest Composite Number = 4Smallest prime Number = 2Smallest strange Composite Number = 9Two-digit the smallest Composite Number = 10

Difference between Prime and Composite Numbers

The difference between the prime numbers and the composite numbers in Maths are provided below:


Prime NumbersComposite Numbers
It can only be divided by 1 and itself, thus have actually only two factors.It has much more than two components (1 and itself).
It can only be created as a product of 2 numbersIt deserve to be composed as the product of two or much more numbers
Example: 5 has determinants are 1 and also 5Example: 4 has components are 1, 2 and 4

Prime Factorisation that Composite Numbers

The list of composite numerals from 1 to 50 are offered here with their prime factorisation. You can see right here how the composites are factorised in element numbers. Examine the listed below table to understand better. V the assist of this table, girlfriend can additionally find composites beyond 50 v their prime factorisation.


Composite NumbersPrime Factorisation
42 × 2
62 × 3
82 × 2 × 2
93 × 3
102 × 5
122 × 2 × 3
142 × 7
153 × 5
162 × 2 × 2 × 2
182 × 3 × 3
202 × 2 × 5
213 × 7
222 × 11
242 × 2 × 2 × 3
255 × 5
262 × 13
273 × 3 × 3
282 × 2 × 7
302 × 3 × 5
322 × 2 × 2 × 2 × 2
333 × 11
342 × 17
355 × 7
362 × 2 × 3 × 3
382 × 19
393 × 13
402 × 2 × 2 × 5
422 × 3 × 7
442 × 2 × 11
453 × 3 × 5
462 × 23
482 × 2 × 2 × 2 × 3
497 × 7
502 × 5 × 5

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Solved difficulties on Composite Numbers

Q.1: uncover if 328 is a composite number.

Solution: The determinants of 328 are 1, 2, 4, 8, 41, 82, 164, 328.

Therefore, 328 is a composite number.

Q.2: What is the element factorisation the 60?

Answer: The element factorisation the 60 is:

60 = 2 × 2 × 3 × 5.

Q.3: List the end the composite numbers from the given collection of numbers.

2, 4, 9, 11, 21, 31, 44, 53, 67, 88, 101, 108.

Solution: The composite number are: 4, 9, 21, 44, 88, 108.

Practice questions (Worksheet)

List the composite numbers in between 20 and 30.Find if 85 is a composite number.What room the prime factors of 99?What is the amount of components of composite number 18?Find the composite numbers amongst the following set of numbers in the offered table.
7183311
6139021
9856319
6152281

To learn more about the different species of numbers, download BYJU’S -The Learning app from the Google beat store and watch interaction videos.

Frequently Asked questions on Composite Numbers


What is a composite number?


A composite number is a natural number or a confident integer i m sorry has an ext than 2 factors. Because that example, 15 has components 1, 3, 5 and also 15, therefore it is a composite number.

Is 2 a composite number?


No, 2 is no a composite number because it has actually only two factors, i.e. 1 and also 2. Hence, it is a element number.

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Is 9 a composite number?


Yes, 9 is a composite number because it has more than 2 factors, such together 1, 3 and also 9.