In Mathematics, composite numbers room numbers the have much more than two factors. These numbers are likewise called composites. Composite number are just the the opposite of prime number which have actually only two factors, i.e. 1 and also the number itself.
All the organic numbers which room not element numbers space composite numbers together they deserve to be separated by much more than two numbers. Because that 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, us will find out the list of composite numbers, the smallest composite number, weird composite numbers along examples.
| Table the Contents:Types of Composite Number |
What are Composite numbers in Maths?
Definition 1: In Mathematics, composite numbers are numbers the have more than two factors.
Definition 2: The numbers which have the right to be generated by multiplying the 2 smallest hopeful integers and also contain at the very least one divisor other than the number ‘1’ and itself are well-known as composite numbers. These numbers always have much more than two factors.
Fact: any type of even number i m sorry is better than 2 is a composite number.
Is 0 a Composite Number?
Zero (0) is taken into consideration as neither prime no one a composite number since it does no have any kind of factors.
Composite numbers Examples
The instances of composite numbers are 6, 14, 25, 30, 52, etc, such that:
| Composite numbers | Factors |
| 6 | 1, 2, 3, 6 |
| 14 | 1, 2, 7, 14 |
| 25 | 1, 5, 25 |
| 30 | 1, 2, 3, 5, 6, 10, 15, 30 |
| 52 | 1, 2, 4, 13, 26, 52 |
In every the above examples, we have the right to see the composite numbers have much more than two factors. There space a number of composite number we can list the end of a collection of organic numbers from 1 to 1000 or more. Let united state see the list of composite number in the following section.
Properties of Composite Numbers
The properties of composite number are basic to remember.
Composite numbers have more than 2 factorsComposite numbers are evenly divisible by their factorsEach composite number is a factor of itselfThe smallest composite number is 4Each composite number will incorporate at least two element numbers together its determinants (Eg. 10 = 2 x 5, wherein 2 and 5 are prime numbers)Composite numbers space divisible by other composite number alsoList that Composite Numbers
Here is the perform of composite numbers from 1 to 100 in Maths. Students can keep a note of this and also try to write the numbers beyond 100 because that practice, together composites indigenous 1 to 200 or till 500.
Composite number Chart
Download PDF – Composite Numbers |
Composite number 1 to 200
The confident integers having more than two factors are composite numbers. The perform of Composite numbers from 1 to 200 room given 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 steps to find whether a provided number is prime or composite:
Find every the factors of the optimistic integerA number is claimed to be element if it has actually only two factors, 1 and also itselfIf the number has much more than two factors, climate it is a composite| Example: uncover if 14 is a composite number. Let us uncover the determinants of 14.14÷1 = 1414÷2 = 714÷7 = 214÷14 = 1 As we can see, the components of 14 room 1,2,7 and also 14, so it is a composite number. |
Types of Composite Numbers
There room two main species of composite number in Maths i m sorry are:
Odd Composite numbers or Composite weird NumbersEven Composite number or Composite even NumbersOdd Composite Numbers
All the strange integers which are not prime are odd composite numbers. Instances of composite strange numbers space 9, 15, 21, 25, 27, 31, etc.
Even Composite Numbers
All the also integers which are not prime are also composite numbers. Examples of even composite numbers room 4, 6, 8, 10, 12, 14, 16, etc.
Smallest Composite Number
4 is the the smallest composite number.
Why?
1 is no a composite number because the sole divisor of 1 is 1. The confident integers 2 and also 3 are prime numbers since it have the right to be split by just two factors, one and itself. Therefore 2 and 3 room not composite.
But in the instance of number 4, us have much more than two factors. The divisors that 4 space 1,2,4. Therefore this number satisfies the condition of a composite number as stated above. After ~ 4, 6 is the next composite optimistic integer, i m sorry has determinants 1, 2, 3 and 6.
Hence, 4 is the the smallest composite number (Proved).
| Important note on Composite numbersSmallest Composite Number = 4Smallest element Number = 2Smallest odd Composite Number = 9Two-digit smallest Composite Number = 10 |
Difference between Prime and Composite Numbers
The difference between the element numbers and the composite number in Maths are provided below:
| It have the right to only be split by 1 and itself, thus have actually only two factors. | It has an ext than two components (1 and also itself). |
| It can only be composed as a product of 2 numbers | It have the right to be written as the product of 2 or an ext numbers |
| Example: 5 has determinants are 1 and also 5 | Example: 4 has factors are 1, 2 and also 4 |
Prime Factorisation of Composite Numbers
The perform of composite number from 1 come 50 are offered here through their element factorisation. You deserve to see right here how the composites are factorised in element numbers. Inspect the listed below table to understand better. V the aid of this table, friend can additionally find composites past 50 through their element factorisation.
| Composite Numbers | Prime Factorisation |
| 4 | 2 × 2 |
| 6 | 2 × 3 |
| 8 | 2 × 2 × 2 |
| 9 | 3 × 3 |
| 10 | 2 × 5 |
| 12 | 2 × 2 × 3 |
| 14 | 2 × 7 |
| 15 | 3 × 5 |
| 16 | 2 × 2 × 2 × 2 |
| 18 | 2 × 3 × 3 |
| 20 | 2 × 2 × 5 |
| 21 | 3 × 7 |
| 22 | 2 × 11 |
| 24 | 2 × 2 × 2 × 3 |
| 25 | 5 × 5 |
| 26 | 2 × 13 |
| 27 | 3 × 3 × 3 |
| 28 | 2 × 2 × 7 |
| 30 | 2 × 3 × 5 |
| 32 | 2 × 2 × 2 × 2 × 2 |
| 33 | 3 × 11 |
| 34 | 2 × 17 |
| 35 | 5 × 7 |
| 36 | 2 × 2 × 3 × 3 |
| 38 | 2 × 19 |
| 39 | 3 × 13 |
| 40 | 2 × 2 × 2 × 5 |
| 42 | 2 × 3 × 7 |
| 44 | 2 × 2 × 11 |
| 45 | 3 × 3 × 5 |
| 46 | 2 × 23 |
| 48 | 2 × 2 × 2 × 2 × 3 |
| 49 | 7 × 7 |
| 50 | 2 × 5 × 5 |
Related Articles
Solved difficulties on Composite Numbers
Q.1: discover if 328 is a composite number.
Solution: The components 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 of 60 is:
60 = 2 × 2 × 3 × 5.
Q.3: List the end the composite numbers from the given set 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 inquiries (Worksheet)
List the composite numbers between 20 and also 30.Find if 85 is a composite number.What room the prime factors of 99?What is the sum of factors of composite number 18?Find the composite numbers amongst the following set of numbers in the given table.| 7 | 18 | 33 | 11 |
| 6 | 13 | 90 | 21 |
| 98 | 5 | 63 | 19 |
| 61 | 52 | 2 | 81 |
To learn an ext about the different varieties of numbers, download BYJU’S -The Learning application from the Google beat store and also watch interactive videos.
Frequently Asked questions on Composite Numbers
What is a composite number?
A composite number is a natural number or a confident integer i beg your pardon has much more than two factors. Because that example, 15 has components 1, 3, 5 and 15, for this reason it is a composite number.
Is 2 a composite number?
No, 2 is not a composite number since it has only two factors, i.e. 1 and 2. Hence, that is a prime number.
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Is 9 a composite number?
Yes, 9 is a composite number due to the fact that it has an ext than two factors, such together 1, 3 and 9.