In Mathematics, composite numbers are numbers the have much more than 2 factors. It is simply the the contrary of prime number which have actually only 2 factors, i.e. 1 and also the number itself. This numbers are also called composites. All the organic numbers which space not prime numbers are composite numbers as they can be separated by an ext than 2 numbers. Because that example, 6 is a composite number since it is divisible by 1, 2, 3 and even by 6.

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What is a Composite Number in Maths?

The integers which deserve to be generated by multiplying the two smallest hopeful integers and also contain at the very least one divisor various other than number ‘1’ and also itself are well-known as composite numbers. These numbers constantly have an ext than two factors.

Fact: any type of even number which is higher than 2 is a composite number.

Examples the Composite Numbers

The instances of composite numbers are 6, 14, 25, 30, 52, etc.

There are a number of composite number we have the right to list out of collection of organic numbers indigenous 1 to 1000 or more. Let united state see the perform of composite number in the following section.

List 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 shot to create the numbers beyond 100 because that practice, together composites from 1 come 200 or it rotates 500.

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Composite Numbers approximately 200

The hopeful integers having an ext than two components are composite numbers. The perform of Composite numbers 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.

Is 0 a Composite Number?

Zero (0) is taken into consideration as no prime nor a composite number because it execute not have any kind of factors.  

How to determine the Composite Number?

The procedures to discover whether a offered number is element or composite:

Find all the determinants of the optimistic integerA number is stated to be element if it has actually only two factors, 1 and also itself.If the number has much more than two factors, then it is a composite.

Example: find if 14 is a composite number.

Let us discover the factors of 14.

14÷1 = 1414÷2 = 714÷7 = 214÷14 = 1

As we deserve to see, the components of 14 space 1,2,7 and 14, so the is a composite number.

Properties that Composite Numbers

The nature of composite number are easy to remember.

Composite numbers room evenly divisible by your factorsEach composite number will encompass at least one element number together its factorComposite numbers space divisible by other composite numbers also

Types the Composite Numbers

There room two main species of composite numbers in Maths which are:

Odd Composite number or Composite strange NumbersEven Composite number or Composite also Numbers

Odd Composite Numbers

All the weird integers which are not prime room odd composite numbers. Examples of composite weird numbers room 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 space 4, 6, 8, 10, 12, 14, 16, etc.

Smallest Composite Number

4 is the smallest composite number.

Why?

1 is not a composite number due to the fact that the sole divisor the 1 is 1. The positive integers 2 and also 3 space prime numbers due to the fact that it can be divided by just two factors, one and also itself. Therefore 2 and also 3 are not composite.

But in the situation of number 4, we have more than two factors. The divisors that 4 room 1,2,4. So this number satisfies the problem of a composite number as discussed above. After 4, 6 is the following composite hopeful integer, i beg your pardon has components 1, 2, 3 and also 6.

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


Important Notes:Smallest Composite Number = 4Smallest element Number = 2Smallest weird Composite Number = 9Two-digit the smallest Composite Number = 10

Prime and Composite Numbers

The difference in between the prime numbers and also the composite numbers in Maths are detailed below:


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

Prime Factorisation that Composite Numbers

The list of composite numerals from 1 come 50 are given here with their element factorisation. You can see right here how the composites are factorised in element numbers. Examine the listed below table to recognize better. With the aid of this table, girlfriend can likewise find composites beyond 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 Examples

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 prime factorisation the 60?

Answer: The prime factorisation of 60 is:

60 = 2 × 2 × 3 × 5

Practice Questions

List the composite numbers in between 20 and also 30.Find if 85 is a composite number.What room the prime components of 99?

To learn much more about the different varieties of numbers, download BYJU’S -The Learning application from the Google pat store and also watch interactive videos.

Frequently Asked inquiries – FAQs


What is a composite number?


A composite number is a organic number or a positive integer i beg your pardon has more than 2 factors. For example, 15 has determinants 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 actually only 2 factors, i.e. 1 and 2. Hence, the 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 two factors, such together 1, 3 and 9.