In Mathematics, composite numbers are numbers that have an ext than 2 factors. This numbers are additionally called composites. Composite number are just the the opposite of prime numbers which have actually only two factors, i.e. 1 and also the number itself.
All the herbal numbers which are not prime numbers are composite numbers as they deserve to be split by much more than 2 numbers. For example, 6 is a composite number since it is divisible by 1, 2, 3 and even by 6.
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In this article, us will learn the perform of composite numbers, smallest composite number, odd composite numbers along examples.
| Table the Contents:Types of Composite Number |
What are Composite number in Maths?
The integers which have the right to be generated by multiplying the two smallest hopeful integers and contain at the very least one divisor other than the number ‘1’ and also itself are recognized as composite numbers. These numbers always have much more than two factors.
Fact: any even number i beg your pardon is greater than 2 is a composite number.
Examples the Composite Numbers
The instances of composite numbers are 6, 14, 25, 30, 52, etc.
There space a number of composite numbers we can list the end of a set of organic numbers indigenous 1 come 1000 or more. Let united state see the perform of composite numbers in the following section.
Properties the Composite Numbers
The nature of composite number are basic to remember.
Composite numbers are evenly divisible by their factorsEach composite number will include at the very least one element number together its factorComposite numbers space divisible by various other composite number alsoList that Composite Numbers
Here is the list of composite numbers from 1 to 100 in Maths. Students have the right to keep a note of this and also also shot to create the numbers past 100 for practice, such composites indigenous 1 to 200 or it spins 500.
Composite numbers 1 come 200
The hopeful integers having much more than two components are composite numbers. The perform of Composite number 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. |
Is 0 a Composite Number?
Zero (0) is considered as neither prime no one a composite number because it perform not have any kind of factors.
How to find the Composite Number?
The actions to discover whether a provided number is prime or composite:
Find every the determinants of the optimistic integerA number is claimed to be element if it has actually only 2 factors, 1 and also itselfIf the number has more than 2 factors, climate it is a composite| Example: discover if 14 is a composite number.Let us find the components of 14.14÷1 = 1414÷2 = 714÷7 = 214÷14 = 1 As we can see, the factors of 14 room 1,2,7 and 14, so the is a composite number. |
Types the Composite Numbers
There room two main varieties of composite number in Maths which are:
Odd Composite numbers or Composite strange NumbersEven Composite number or Composite even NumbersOdd Composite Numbers
All the strange integers which are not prime room odd composite numbers. Instances of composite weird numbers space 9, 15, 21, 25, 27, 31, etc.
Even Composite Numbers
All the also integers which are not prime are even 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 not a composite number since the sole divisor that 1 is 1. The positive integers 2 and also 3 space prime numbers due to the fact that it deserve to be separated by only two factors, one and also itself. Hence 2 and also 3 are not composite.
But in the situation of number 4, we have much more than 2 factors. The divisors that 4 space 1,2,4. Therefore this number satisfies the problem of a composite number as stated above. After 4, 6 is the following composite hopeful integer, i beg your pardon has determinants 1, 2, 3 and 6.
Hence, 4 is the the smallest composite number (Proved).
| Important Notes:Smallest Composite Number = 4Smallest element Number = 2Smallest strange Composite Number = 9Two-digit smallest Composite Number = 10 |
Difference in between Prime and also Composite Numbers
The difference in between the prime numbers and also the composite number in Maths are provided below:
| It deserve to only be split by 1 and also itself, thus have only two factors. | It has an ext than two components (1 and also itself). |
| It have the right to only be created as a product of 2 numbers | It can be created as the product of 2 or an ext numbers |
| Example: 5 has factors are 1 and 5 | Example: 4 has determinants are 1, 2 and 4 |
Prime Factorisation that Composite Numbers
The list of composite number from 1 to 50 are offered here with their element factorisation. You can see right here how the composites space factorised in prime numbers. Check the below table to know better. Through the aid of this table, girlfriend can likewise find composites beyond 50 v 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 |
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Solved examples 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 element factorisation that 60?
Answer: The element factorisation that 60 is:
60 = 2 × 2 × 3 × 5
Practice Questions
List the composite numbers in between 20 and 30.Find if 85 is a composite number.What space the prime factors of 99?To learn much more about the different types of numbers, download BYJU’S -The Learning application from the Google play store and also watch interactive videos.
Frequently Asked inquiries – FAQs
What is a composite number?
A composite number is a herbal number or a optimistic integer i beg your pardon has more than 2 factors. For 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 since it has only two factors, i.e. 1 and 2. Hence, the is a prime number.
See more: Find The Lcm Of 10 And 16 Calculator, Least Common Multiple Of 10 And 16
Is 9 a composite number?
Yes, 9 is a composite number because it has much more than 2 factors, such as 1, 3 and also 9.