What is the smallest even Composite?

• A prime number has only two factors (1 and the number itself). For example: 2, 3, 5, 7, ............. 97.
• The prime numbers less than 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
• 3, 5, 7 is known as prime triplet.
• The prime number with a difference of 2 are known as twin primes. For example: 3, 5; 5, 7; 11, 13; 17, 19; 29, 31; 41, 43; 59, 61 and 71, 73.
• There are 8 pairs of twin primes below 100.
• There are 25 prime numbers below 100.
• Every composite number can be written as the product of two or more (not necessarily distinct) primes.
• There are certain prime numbers whose digits when reversed are also form a prime number.
  For example: 13, 31; 17, 71; 37, 73; 79, 97.
  The sum of these pairs of numbers are multiple of 11.
  13 + 31 = 44
  17 + 71 = 88
  37 + 73 = 110
  79 + 97 = 176
  
• The smallest even composite number is 4.
• The smallest odd composite number is 9.
• The smallest two digit odd prime number is 11.
• The largest two digit odd prime number is 97
• The number of composite numbers from 1 to 100 are 74 (1 is excluded as it is neither a prime nor a composite number)
• The number of composite numbers between 1 and 100 are 73.
• The last two digit composite number is 99.
• The smallest single digit composite number is 4.
• The largest single digit composite number is 9.
• The only even prime is 2.
• The first odd prime number is 3.

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• What are Composite Numbers in Maths?
• Is 0 a Composite Number?
• Composite Numbers Examples
• Properties of Composite Numbers
• List of Composite Numbers
• Composite Numbers Chart
• Download PDF – Composite Numbers
• Composite Numbers 1 to 200
• How to Find the Composite Number?
• Types of Composite Numbers
• Odd Composite Numbers
• Even Composite Numbers
• Smallest Composite Number
• Difference Between Prime and Composite Numbers
• Prime Factorization of Composite Numbers
• Video Lesson on Numbers
• Related Articles
• Solved Problems on Composite Numbers
• Practice Questions (Worksheet)
• Frequently Asked Questions on Composite Numbers
• What is a composite number?
• Is 2 a composite number?
• Is 9 a composite number?
• What are the composite numbers from 1 to 100?
• Is 19 prime or composite?
• Is 1 a composite number?
• How many composite numbers are there between 1 and 10?
• Is 49 a composite number?
• What is the smallest composite?
• What is the smallest odd composite?
• What are the two smallest composite numbers?
• Which is the smallest positive composite number?

Composite numbers are those numbers that are NOT prime numbers. The composite numbers have three or more factors. Prime numbers have only two factors that include 1 and the number itself.

1 is neither prime nor composite.

Examples of composite numbers are 4, 6, 8, 9, 10, 12.....

Every composite number can be written as a product of its prime factors

The smallest composite number is 4.

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In Mathematics, composite numbers are numbers that have more than two factors. These numbers are also called composites. Composite numbers are just the opposite of prime numbers which have only two factors, i.e. 1 and the number itself. All the natural numbers which are not prime numbers are composite numbers as they can be divided by more than two numbers. For example, 6 is a composite number because it is divisible by 1, 2, 3 and even by 6. In this article, we will learn the definition of composite numbers, properties, smallest composite number, even and odd composite numbers, list of composite numbers, and difference between prime and composite numbers along with many solved examples in detail.

Table of Contents:

What are Composite Numbers in Maths?

Definition 1: In Mathematics, composite numbers are numbers that have more than two factors.

Definition 2: The numbers which can be generated by multiplying the two smallest positive integers and contain at least one divisor other than the number ‘1’ and itself are known as composite numbers. These numbers always have more than two factors.

Fact: Any even number which is greater than 2 is a composite number.

Is 0 a Composite Number?

Zero (0) is considered as neither prime nor a composite number because it does not have any factors.

Composite Numbers Examples

The examples of composite numbers are 6, 14, 25, 30, 52, etc, such that:

Composite numbersFactors61, 2, 3, 6141, 2, 7, 14251, 5, 25301, 2, 3, 5, 6, 10, 15, 30521, 2, 4, 13, 26, 52

In all the above examples, we can see the composite numbers have more than two factors. There are a number of composite numbers we can list out of a set of natural numbers from 1 to 1000 or more. Let us see the list of composite numbers in the next section.

Properties of Composite Numbers

The properties of composite numbers are easy to remember.

• Composite numbers have more than two factors
• Composite numbers are evenly divisible by their factors
• Each composite number is a factor of itself
• The smallest composite number is 4
• Each composite number will include at least two prime numbers as its factors (Eg. 10 = 2 x 5, where 2 and 5 are prime numbers)
• Composite numbers are divisible by other composite numbers also

List of Composite Numbers

Here is the list of composite numbers from 1 to 100 in Maths. Students can keep a note of this and also try to write the numbers beyond 100 for practice, such composites from 1 to 200 or till 500.

Composite Numbers Chart

Download PDF – Composite Numbers

Composite Numbers 1 to 200

The positive integers having more than two factors are composite numbers. The list of Composite numbers from 1 to 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 198.

How to Find the Composite Number?

The procedures to find whether a given number is prime or composite:

• Find all the factors of the positive integer
• A number is said to be prime if it has only two factors, 1 and itself
• If the number has more than two factors, then it is a composite

Example: Find if 14 is a composite number. Let us find the factors of 14.

• 14÷1 = 14
• 14÷2 = 7
• 14÷7 = 2
• 14÷14 = 1

As we can see, the factors of 14 are 1,2,7 and 14, so it is a composite number.

Types of Composite Numbers

There are two main types of composite numbers in Maths which are:

• Odd Composite Numbers or Composite Odd Numbers
• Even Composite Numbers or Composite Even Numbers

Odd Composite Numbers

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

Smallest Composite Number

4 is the smallest composite number.

Why?

1 is not a composite number because the sole divisor of 1 is 1. The positive integers 2 and 3 are prime numbers because it can be divided by only two factors, one and itself. Hence 2 and 3 are not composite.

But in the case of number 4, we have more than two factors. The divisors of 4 are 1,2,4. So this number satisfies the condition of a composite number as mentioned 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 Notes on Composite numbers

• Smallest Composite Number = 4
• Smallest Prime Number = 2
• Smallest Odd Composite Number = 9
• Two-digit Smallest Composite Number = 10

Difference Between Prime and Composite Numbers

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

Prime NumbersComposite NumbersIt can only be divided by 1 and itself, thus have only two factors.It has more than two factors (1 and itself).It can only be written as a product of two numbersIt can be written as the product of two or more numbersExample: 5 has factors are 1 and 5Example: 4 has factors are 1, 2 and 4

Prime Factorization of Composite Numbers

The list of composite numerals from 1 to 50 are given here with their prime factorization. You can see here how the composites are factorized in prime numbers. Check the below table to understand better. With the help of this table, you can also find composites beyond 50 with their prime factorization.

Composite NumbersPrime Factorization42 × 262 × 382 × 2 × 293 × 3102 × 5122 × 2 × 3142 × 7153 × 5162 × 2 × 2 × 2182 × 3 × 3202 × 2 × 5213 × 7222 × 11242 × 2 × 2 × 3255 × 5262 × 13273 × 3 × 3282 × 2 × 7302 × 3 × 5322 × 2 × 2 × 2 × 2333 × 11342 × 17355 × 7362 × 2 × 3 × 3382 × 19393  × 13402 × 2 × 2 × 5422 × 3 × 7442 × 2 × 11453 × 3 × 5462 × 23482 × 2 × 2 × 2 × 3497 × 7502 × 5 × 5

Video Lesson on Numbers

Related Articles

• Prime and Composite Numbers
• Prime Factorization
• Prime, Composite And Even, Odd Numbers

Solved Problems on Composite Numbers

Example 1:

Find if 328 is a composite number.

Solution:

The factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328.

Therefore, 328 is a composite number.

Example 2:

What is the prime factorization of 60?

Solution:

The prime factorization of 60 is:

60 = 2 × 2 × 3 × 5.

Example 3:

List out the composite numbers from the given set 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.

Example 4: 

Find the product of first 5 composite numbers.

Solution:

The first 5 composite numbers are 4, 6, 8, 9, 10.

Hence, the product of first 5 composite numbers = 4 × 6 × 8 × 9 × 10

= 17280

Therefore, the product of first five composite numbers is 17280.

Practice Questions (Worksheet)

1. List the composite numbers between 20 and 30.
2. Find if 85 is a composite number.
3. What are the prime factors of 99?
4. What is the sum of factors of composite number 18?
5. Find the composite numbers among the following set of numbers in the given table.

7183311613902198563196152281

To learn more about the different types of numbers, download BYJU’S -The Learning App from the Google play store and watch interactive videos.

Frequently Asked Questions on Composite Numbers

What is a composite number?

A composite number is a natural number or a positive integer which has more than two factors. For example, 15 has factors 1, 3, 5 and 15, hence it is a composite number.

Is 2 a composite number?

No, 2 is not a composite number because it has only two factors, i.e. 1 and 2. Hence, it is a prime number.

Is 9 a composite number?

Yes, 9 is a composite number because it has more than two factors, such as 1, 3 and 9.

What are the composite numbers from 1 to 100?

The list of composite numbers from 1 to 100 are:
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.

Is 19 prime or composite?

19 is a prime number because it has only two factors, i.e. 1 and 19.

Is 1 a composite number?

No, because 1 does not have more than two factors instead it has only 1 factor. Hence, it is neither prime nor composite.

How many composite numbers are there between 1 and 10?

There are four composite numbers between 1 and 10. They are 4,6,8 and 9.

Is 49 a composite number?

Yes, 49 is a composite number, because it contains more than 2 factors. The factors of 49 are 1, 7 and 49.

What is the smallest composite?

4 is the smallest composite number. Why? 1 is not a composite number because the sole divisor of 1 is 1. The positive integers 2 and 3 are prime numbers because it can be divided by only two factors, one and itself.

What is the smallest odd composite?

So, 9 is the smallest odd composite number.

What are the two smallest composite numbers?

Answer: The smallest two-digit composite number is ten, while the smallest composite number is four, as we all know.

Which is the smallest positive composite number?

Odd composite numbers are all the odd integers that are not prime. 9, 15, 21, 25, 27, etc, are examples of composite odd numbers. The smallest odd composite number is 9. Even composite numbers are all even numbers and are not prime.