In Mathematics, composite numbers are numbers that have an ext than two factors. These numbers are also called composites. Composite number are simply the opposite of prime numbers which have only two factors, i.e. 1 and the number itself.  

All the herbal numbers which space not element numbers room composite numbers as they can be separated by an ext than two numbers. Because that example, 6 is a composite number due to the fact that it is divisible by 1, 2, 3 and even by 6.

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In this article, we will learn the perform of composite numbers, smallest composite number, odd composite numbers follow me examples.


Table the Contents:Types of Composite Number

What space Composite numbers in Maths?

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

Definition 2: The number which can be created by multiplying the two smallest positive integers and also contain at the very least one divisor other than the number ‘1’ and also itself are well-known as composite numbers. This numbers always have an ext than two factors.

Fact: any even number which is better than 2 is a composite number.

Is 0 a Composite Number?

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

Composite numbers Examples

The instances of composite numbers room 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 all the over examples, we have the right to see the composite numbers have much more than 2 factors. There room a variety of composite number we deserve to list out of a set of natural numbers from 1 come 1000 or more. Let us see the perform of composite number in the next section.

Properties that Composite Numbers

The nature of composite number are easy to remember.

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

List of Composite Numbers

Here is the list of composite numbers from 1 to 100 in Maths. Students deserve to keep a note of this and also also try to create the numbers beyond 100 for practice, such composites native 1 come 200 or it spins 500.

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Composite numbers Chart

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Download PDF – Composite Numbers


Composite number 1 come 200

The hopeful integers having an ext than two components are composite numbers. The perform of Composite number from 1 to 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 also 198.

How to find the Composite Number?

The procedures to uncover whether a given number is element or composite:

Find every the determinants of the hopeful integerA number is said to be element if it has only 2 factors, 1 and itselfIf the number has much more than 2 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 deserve to see, the determinants of 14 are 1,2,7 and 14, so that is a composite number.


Types the Composite Numbers

There are two main types of composite numbers in Maths i m sorry are:

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

Odd Composite Numbers

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

Even Composite Numbers

All the even 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 because the single divisor the 1 is 1. The positive integers 2 and also 3 space prime numbers because it deserve to be separated by just two factors, one and also itself. Therefore 2 and 3 space not composite.

But in the case of number 4, we have more than two factors. The divisors that 4 room 1,2,4. Therefore this number satisfies the problem of a composite number as discussed above. After ~ 4, 6 is the next composite positive integer, which has factors 1, 2, 3 and 6.

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


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

Difference between Prime and Composite Numbers

The difference in between the element numbers and the composite numbers in Maths are listed below:


Prime NumbersComposite Numbers
It deserve to only be separated by 1 and itself, thus have actually only 2 factors.It has an ext than two components (1 and also itself).
It can only be created as a product of two numbersIt deserve to be composed as the product of two or more numbers
Example: 5 has factors are 1 and 5Example: 4 has determinants are 1, 2 and also 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 below how the composites room factorised in element numbers. Inspect the below table to understand better. Through the assist of this table, you can also find composites past 50 with their element 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 troubles on Composite Numbers

Q.1: find 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 that 60?

Answer: The prime 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 numbers are: 4, 9, 21, 44, 88, 108.

Practice questions (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 amount of components of composite number 18?Find the composite numbers among the following collection of numbers in the provided table.
7183311
6139021
9856319
6152281

To learn an ext about the different varieties of numbers, download BYJU’S -The Learning app from the Google play store and watch interaction videos.

Frequently Asked concerns on Composite Numbers


What is a composite number?


A composite number is a organic number or a optimistic integer i beg your pardon has an ext than 2 factors. For example, 15 has components 1, 3, 5 and also 15, for this reason it is a composite number.

Is 2 a composite number?


No, 2 is no a composite number due to the fact that it has actually only two factors, i.e. 1 and also 2. Hence, the 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 as 1, 3 and also 9.