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

All the natural numbers which space not element numbers room composite numbers together they deserve to be separated by much 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 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 that Contents:Types of Composite Number

What space Composite numbers in Maths?

Definition 1: In Mathematics, composite numbers space numbers the have much more than 2 factors.

Definition 2: The numbers which have the right to be generated by multiply the two smallest positive integers and contain at least one divisor various other than the number ‘1’ and also itself are recognized as composite numbers. These numbers always have much more than 2 factors.

Fact: any even number which is higher 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 not have any factors.

Composite numbers Examples

The instances of composite numbers space 6, 14, 25, 30, 52, etc, such 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 an ext than two factors. There are a variety of composite number we deserve to list out of a collection of herbal numbers native 1 come 1000 or more. Let us see the list of composite numbers in the following section.

Properties of Composite Numbers

The properties of composite numbers are basic to remember.

Composite number have more than 2 factorsComposite numbers are evenly divisible by their factorsEach composite number is a element of itselfThe the smallest composite number is 4Each composite number will encompass at least two prime numbers together its determinants (Eg. 10 = 2 x 5, where 2 and 5 space prime numbers)Composite numbers are divisible by various other composite numbers also

List the Composite Numbers

Here is the perform of composite numbers from 1 to 100 in Maths. Students have the right to keep a keep in mind of this and also also shot to compose the numbers beyond 100 because that practice, together composites from 1 come 200 or till 500.

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Composite number Chart

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Download PDF – Composite Numbers


Composite number 1 come 200

The hopeful integers having more than two factors 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 uncover the Composite Number?

The steps to find whether a provided number is prime or composite:

Find all the factors of the optimistic integerA number is stated to be element if it has only 2 factors, 1 and also itselfIf the number has more than 2 factors, climate it is a composite
Example: find if 14 is a composite number. Let us discover the determinants of 14.14÷1 = 1414÷2 = 714÷7 = 214÷14 = 1

As we have the right to see, the components of 14 are 1,2,7 and 14, so it is a composite number.


Types the Composite Numbers

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

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

Odd Composite Numbers

All the odd integers which space not prime space odd composite numbers. Instances of composite odd numbers room 9, 15, 21, 25, 27, 31, etc.

Even Composite Numbers

All the also integers which are not prime are even composite numbers. Instances of even composite numbers space 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 due to the fact that the single divisor of 1 is 1. The optimistic integers 2 and 3 space prime numbers since it deserve to be divided by only two factors, one and also itself. Hence 2 and 3 are not composite.

But in the situation of number 4, we have more than 2 factors. The divisors the 4 are 1,2,4. Therefore this number satisfies the condition of a composite number as pointed out above. After 4, 6 is the next composite confident integer, i beg your pardon has factors 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 in between Prime and Composite Numbers

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


Prime NumbersComposite Numbers
It can only be divided by 1 and also itself, thus have actually only two factors.It has much more than two components (1 and itself).
It can only be composed as a product of two numbersIt can be created as the product of two or an ext numbers
Example: 5 has components are 1 and 5Example: 4 has factors are 1, 2 and also 4

Prime Factorisation that Composite Numbers

The perform of composite numerals from 1 come 50 are offered here with their prime factorisation. You deserve to see here how the composites space factorised in element numbers. Check the listed below table to recognize better. Through the aid of this table, friend can additionally find composites past 50 with their prime 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 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 element factorisation that 60?

Answer: The prime factorisation of 60 is:

60 = 2 × 2 × 3 × 5.

Q.3: List the end 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 in between 20 and also 30.Find if 85 is a composite number.What are the prime factors of 99?What is the sum of determinants of composite number 18?Find the composite numbers amongst the following collection of numbers in the offered table.
7183311
6139021
9856319
6152281

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

Frequently Asked inquiries on Composite Numbers


What is a composite number?


A composite number is a herbal number or a positive integer i m sorry has an ext than two factors. Because that example, 15 has determinants 1, 3, 5 and 15, hence it is a composite number.

Is 2 a composite number?


No, 2 is no a composite number since it has actually only 2 factors, i.e. 1 and 2. Hence, that is a element number.

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Is 9 a composite number?


Yes, 9 is a composite number due to the fact that it has more than 2 factors, such together 1, 3 and 9.