In Mathematics, composite numbers room numbers that have much more than two factors. This numbers are likewise called composites. Composite numbers are simply the the contrary of prime number which have only two factors, i.e. 1 and also the number itself.
All the herbal numbers which are not element numbers space composite numbers together they deserve to be split by more than two numbers. For example, 6 is a composite number due to the fact that it is divisible by 1, 2, 3 and also even by 6.
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In this article, us will find out the list of composite numbers, smallest composite number, weird composite numbers along examples.
| Table that Contents:Types of Composite Number |
What space Composite numbers in Maths?
Definition 1: In Mathematics, composite numbers space numbers the have more than two factors.
Definition 2: The numbers which have the right to be created by multiply the 2 smallest optimistic integers and contain at least one divisor other than the number ‘1’ and also itself are recognized as composite numbers. These numbers always have an ext than two factors.
Fact: any even number i beg your pardon is greater than 2 is a composite number.
Is 0 a Composite Number?
Zero (0) is considered as neither prime no one a composite number since it does not have any kind of factors.
Composite number Examples
The instances of composite numbers space 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 over examples, we have the right to see the composite number have much more than 2 factors. There space a number of composite number we have the right to list out of a collection of natural numbers from 1 to 1000 or more. Let us see the list of composite number in the next section.
Properties of Composite Numbers
The nature of composite number are easy to remember.
Composite numbers have much more than two factorsComposite numbers are evenly divisible by their factorsEach composite number is a element of itselfThe smallest composite number is 4Each composite number will include at least two prime numbers as its determinants (Eg. 10 = 2 x 5, whereby 2 and 5 are prime numbers)Composite numbers space divisible by various other composite number alsoList that Composite Numbers
Here is the perform of composite number from 1 come 100 in Maths. Students deserve to keep a keep in mind of this and also try to write the numbers beyond 100 because that practice, together composites from 1 to 200 or it rotates 500.
Composite numbers Chart
Download PDF – Composite Numbers |
Composite number 1 to 200
The optimistic integers having much more than two components are composite numbers. The perform of Composite numbers from 1 come 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 also 198. |
How to find the Composite Number?
The measures to find whether a given number is prime or composite:
Find all the factors of the optimistic integerA number is stated to be prime if it has actually only two factors, 1 and also itselfIf the number has much more than 2 factors, then 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 factors of 14 are 1,2,7 and also 14, so the is a composite number. |
Types of Composite Numbers
There are two main types of composite numbers in Maths i beg your pardon are:
Odd Composite numbers or Composite weird NumbersEven Composite number or Composite even NumbersOdd Composite Numbers
All the weird 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 space not element are also composite numbers. Examples of also composite numbers are 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 since the sole divisor that 1 is 1. The optimistic integers 2 and also 3 are prime numbers since it can be split by only two factors, one and also itself. Thus 2 and also 3 space not composite.
But in the instance of number 4, we have much more than 2 factors. The divisors of 4 are 1,2,4. Therefore this number satisfies the condition of a composite number as stated above. ~ 4, 6 is the following composite positive integer, i beg your pardon has determinants 1, 2, 3 and 6.
Hence, 4 is the smallest composite number (Proved).
| Important notes on Composite numbersSmallest Composite Number = 4Smallest element Number = 2Smallest strange Composite Number = 9Two-digit smallest Composite Number = 10 |
Difference between Prime and Composite Numbers
The difference in between the prime numbers and also the composite number in Maths are detailed below:
| It have the right to only be split by 1 and also itself, thus have only two factors. | It has much more than two factors (1 and also itself). |
| It have the right to only be created as a product of two numbers | It can be composed as the product of 2 or much more numbers |
| Example: 5 has determinants are 1 and 5 | Example: 4 has factors are 1, 2 and 4 |
Prime Factorisation of Composite Numbers
The perform of composite number from 1 to 50 are provided here v their element factorisation. You can see below how the composites room factorised in prime numbers. Inspect the below table to understand better. With the help of this table, you can also find composites beyond 50 v 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 troubles on Composite Numbers
Q.1: discover 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 prime factorisation that 60?
Answer: The prime factorisation of 60 is:
60 = 2 × 2 × 3 × 5.
Q.3: List out the composite number 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 concerns (Worksheet)
List the composite numbers between 20 and 30.Find if 85 is a composite number.What are the prime determinants of 99?What is the sum of factors of composite number 18?Find the composite numbers amongst the following set of numbers in the offered table.| 7 | 18 | 33 | 11 |
| 6 | 13 | 90 | 21 |
| 98 | 5 | 63 | 19 |
| 61 | 52 | 2 | 81 |
To learn much more about the different types of numbers, download BYJU’S -The Learning app from the Google play store and watch interaction videos.
Frequently Asked inquiries on Composite Numbers
What is a composite number?
A composite number is a natural number or a confident integer which has more than 2 factors. Because that example, 15 has components 1, 3, 5 and also 15, thus it is a composite number.
Is 2 a composite number?
No, 2 is no a composite number due to the fact that 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 since it has more than 2 factors, such together 1, 3 and 9.