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.

You are watching: Composite numbers between 1 and 10

In this article, we will learn the list of composite numbers, smallest composite number, odd composite numbers along examples.

Table of Contents:Types of Composite Number |

## 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 numbers |
Factors |

6 | 1, 2, 3, 6 |

14 | 1, 2, 7, 14 |

25 | 1, 5, 25 |

30 | 1, 2, 3, 5, 6, 10, 15, 30 |

52 | 1, 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 factorsComposite numbers are evenly divisible by their factorsEach composite number is a factor of itselfThe smallest composite number is 4Each 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 integerA number is said to be prime if it has only two factors, 1 and itselfIf 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 = 1414÷2 = 714÷7 = 214÷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 NumbersEven 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.

See more: Identify The Molecular Geometry Of Sf2 Showing All Lone Pairs

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

Important Notes on Composite numbersSmallest Composite Number = 4Smallest Prime Number = 2Smallest Odd Composite Number = 9Two-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 numbers | It can be written as the product of two or more numbers |

Example: 5 has factors are 1 and 5 |
Example: 4 has factors are 1, 2 and 4 |

## Prime Factorisation of Composite Numbers

The list of composite numerals from 1 to 50 are given here with their prime factorisation. You can see here how the composites are factorised 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 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 |

## Related Articles

## Solved Problems on Composite Numbers

**Q.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.

**Q.2: What is the prime factorisation of 60?**

Answer: The prime factorisation of 60 is:

60 = 2 × 2 × 3 × 5.

**Q.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.

## Practice Questions (Worksheet)

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

7 | 18 | 33 | 11 |

6 | 13 | 90 | 21 |

98 | 5 | 63 | 19 |

61 | 52 | 2 | 81 |

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.

See more: Why Do I Want To Wear A Diaper S? My Child Wants To Wear Diapers!

### Is 9 a composite number?

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

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