In Mathematics, composite numbers are numbers that have much more than 2 factors. These numbers are also called composites. Composite numbers are just the opposite of prime number which have only two factors, i.e. 1 and also the number itself.
All the natural numbers which space not element numbers space composite numbers together they deserve to be divided by an ext than two numbers. For example, 6 is a composite number because it is divisible by 1, 2, 3 and even through 6.
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In this article, us will discover the perform of composite numbers, smallest composite number, weird composite numbers along examples.
| Table of Contents:Types of Composite Number |
What are Composite number in Maths?
Definition 1: In Mathematics, composite numbers are numbers that have much more than two factors.
Definition 2: The numbers which deserve to be created by multiply the 2 smallest optimistic integers and also contain at the very least one divisor other than the number ‘1’ and itself are known as composite numbers. These numbers constantly have much more than 2 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 thought about as no prime nor a composite number due to the fact that it does no have any kind of factors.
Composite number Examples
The instances of composite numbers are 6, 14, 25, 30, 52, etc, together 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 all the above examples, we deserve to see the composite numbers have more than two factors. There are a number of composite numbers we deserve to list the end of a set of natural numbers from 1 to 1000 or more. Let united state see the list of composite numbers in the next section.
Properties that Composite Numbers
The properties of composite number are simple to remember.
Composite numbers have more than 2 factorsComposite numbers are evenly divisible by your factorsEach composite number is a element of itselfThe smallest composite number is 4Each composite number will encompass at least two element numbers as its components (Eg. 10 = 2 x 5, where 2 and also 5 space prime numbers)Composite numbers space divisible by various other composite number alsoList that Composite Numbers
Here is the perform of composite numbers from 1 come 100 in Maths. Students deserve to keep a keep in mind of this and also also shot to write the numbers past 100 because that practice, such composites from 1 to 200 or till 500.
Composite number Chart
Download PDF – Composite Numbers |
Composite numbers 1 come 200
The hopeful integers having much more than two determinants are composite numbers. The list of Composite number from 1 come 200 are 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 discover the Composite Number?
The steps to uncover whether a given number is element or composite:
Find all the factors of the optimistic integerA number is stated to be element if it has actually only 2 factors, 1 and also itselfIf the number has an ext than 2 factors, then it is a composite| Example: discover if 14 is a composite number. Let us uncover the determinants of 14.14÷1 = 1414÷2 = 714÷7 = 214÷14 = 1 As we have the right to see, the factors of 14 are 1,2,7 and 14, so the is a composite number. |
Types the Composite Numbers
There space two main species of composite numbers in Maths which are:
Odd Composite number or Composite odd NumbersEven Composite numbers or Composite also NumbersOdd Composite Numbers
All the weird integers which room not prime are odd composite numbers. Examples of composite strange numbers space 9, 15, 21, 25, 27, 31, etc.
Even Composite Numbers
All the also integers which room not prime are even composite numbers. Examples of even composite numbers space 4, 6, 8, 10, 12, 14, 16, etc.
Smallest Composite Number
4 is the smallest composite number.
Why?
1 is no a composite number due to the fact that the sole divisor that 1 is 1. The positive integers 2 and also 3 are prime numbers because it deserve to be split by just two factors, one and itself. Thus 2 and 3 space not composite.
But in the case of number 4, we have much more than two factors. The divisors that 4 are 1,2,4. So this number satisfies the condition of a composite number as mentioned above. After ~ 4, 6 is the following composite optimistic integer, which has components 1, 2, 3 and also 6.
Hence, 4 is the the smallest composite number (Proved).
| Important notes on Composite numbersSmallest Composite Number = 4Smallest prime Number = 2Smallest weird Composite Number = 9Two-digit the smallest Composite Number = 10 |
Difference between Prime and also Composite Numbers
The difference between the prime numbers and the composite numbers in Maths are listed below:
| It have the right to only be divided by 1 and also itself, thus have actually only 2 factors. | It has an ext than two determinants (1 and also itself). |
| It deserve to only be composed as a product of 2 numbers | It can be written as the product of 2 or much more numbers |
| Example: 5 has determinants are 1 and also 5 | Example: 4 has determinants are 1, 2 and also 4 |
Prime Factorisation the Composite Numbers
The perform of composite number from 1 to 50 are given here v their element factorisation. You have the right to see here how the composites room factorised in prime numbers. Examine the below table to recognize better. With the assist of this table, friend can also find composites past 50 with their prime 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 problems on Composite Numbers
Q.1: find 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 the 60?
Answer: The element factorisation the 60 is:
60 = 2 × 2 × 3 × 5.
Q.3: List out 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 inquiries (Worksheet)
List the composite numbers between 20 and also 30.Find if 85 is a composite number.What space the prime components of 99?What is the sum of determinants of composite number 18?Find the composite numbers among 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 much more about the different species of numbers, download BYJU’S -The Learning application from the Google play store and watch interaction videos.
Frequently Asked questions on Composite Numbers
What is a composite number?
A composite number is a organic number or a hopeful integer i beg your pardon has much more than two factors. Because that example, 15 has factors 1, 3, 5 and 15, therefore it is a composite number.
Is 2 a composite number?
No, 2 is no 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 much more than 2 factors, such as 1, 3 and also 9.