# Composite Numbers

Sometimes the composite number is also referred to as Composites. A number containing more than two factors is called a composite number. Composite numbers are just contradicting the Primary numbers. A prime number has just two factors one and the number itself. Those natural numbers that are not considered prime are composite, as these numbers can be easily divided into more than two factors. Examples of composite factors include 6, and the factors are 1, 2, 3, and 6.

### Composite Number in Mathematics

In mathematics, numbers that contain more than two factors are called Composite numbers, or A number that can be produced by multiplying two smallest positive integers and should have at least one divisor apart from 1 and itself. The number always contains more than two factors.

Question: Is Zero a composite number?

Ans: Zero is classified as neither prime nor composite since it has no factors.

### Properties of the Composite Number

The properties of Composite numbers are very simple and be remembered easily.

Properties of Composite Number Includes

• It contains more than two factors
• They are evenly divisible by the factors
• 4 is the smallest composite number
• Each Composite number is the factor of itself
• The composite number will contain at least two prime numbers as their factors.
• Composite numbers are divisible by other composites, also.

### Methods to Find Composite Number

The method to find the composite number is given below:

• Determine all factors of the positive integer
• A prime number contains only two factors, i.e., one and the number itself.
• If the number contains more than two factors, it is called the Composite.

For Example: Determine 16 is a composite number or not.

First of all, we have to find factors of 16. The factors of the 16 include 1, 2, 4, 8, and 16. Therefore it is a composite number.

### Composite Numbers from 1 to 200

Composite numbers that exist between 1 to 134 are listed below in the table

 4 20 33 46 58 72 85 98 112 123 6 21 34 48 60 74 86 99 114 124 8 22 35 49 62 75 87 100 115 125 9 24 36 50 63 76 88 102 116 126 10 25 38 51 64 77 90 104 117 128 12 26 39 52 65 78 91 105 118 129 14 27 40 54 66 80 92 106 119 130 15 28 42 55 68 81 94 108 120 132 16 30 44 56 69 82 95 110 121 133 18 32 45 57 70 84 96 111 122 134

From 135 to 200

 135 142 147 155 160 168 176 184 190 136 143 148 156 162 170 177 186 192 138 144 150 157 164 172 178 187 194 140 145 152 158 165 174 180 188 195 141 146 154 159 166 175 182 189 196 198

### Odd Composite Number

Those odd integers which are not considered Prime are referred to as Odd Composite numbers. Odd Composite prime numbers include 141, 143, 147, and 155 ...

### Even Composite Numbers

Those even integers which are not considered Prime are referred to as even composite numbers. Examples of composite numbers include 18, 20, 46, and 48 ….

### Smallest Composite Number

Question: Why is four said to be the smallest composite number?

Reason: 1 cannot be considered the composite number as 1 has only one divisor, and it is the number itself, i.e., 1.

2 and 3: 2 and 3 are regarded as the Prime number as they can be divisible by only two factors: one and the number itself. Therefore, they are not categorized as Composites.

4: The number 4 contains more than two factors. Their divisors include 1, 2, and 4. The number 4 fills all the conditions of being a composite number. Hence the 4 is the smallest composite number

### Important Facts to be Remember

• 4 = It is the smallest composite number
• 2= It is the smallest prime number
• 10 = It is the two-digit smallest Composite Number
• 9 = Smallest Odd Composite Number

Prime Factorisation of Composite Number

This will give a perspective on the composite numbers are factorized into the prime numbers. The numbers are 1 to 50.

Composite Numbers Prime Factors
4 2 x 2
6 2 x 3
8 2 x 2 x 2
9 3 x 3
10 2 x 5
12 2 x 2 x 3
14 2 x7
15 3 x 5
16 2 x 2 x 2 x 2
18 2 x 3 x3
20 2 x 2 x5
21 3 x 7
22 2 x 11
24 2 x 2 x 2 x3
25 5 x 5
26 2 x13
27 3 x 3 x 3
28 2 x 2 x7
30 2 x 3 x 5
32 2 x 2 x 2 x 2 x 2
33 3 x 11
34 2 x 17
35 7 x5
36 2 x 2 x 3 x3
38 2 x 19
39 3 x13
40 2 x 2 x 2 x5
42 2 x 3 x7
44 2 x 2 x11
45 3 x 3 x 5
46 2 x 23
48 2 x 2 x 2 x 2 x 3
49 7 x 7
50 2 x 5 x 5

### Solved Problems

Question: Determine whether 60 is a composite number and also write the prime factorization

Answer: Since it has factors like 1, 2, 3, 4, 5, 6, 10, 12, and 60. Therefore it is also a composite number.

Prime Factorisation

2 x 2 x 3 x 5 = 60

Question: Determine the product of the first 5 composite numbers

Solution: 4, 6, 8, and 9, 10 are the first five composite numbers

4 x 6 x 8 x 9 x10 = product of first 5 composite number

Result= 17280

Question: Calculate the number of composite numbers between 1 and 10.

Answer: The composite numbers between 1 and 10 are 4, 6, 8, and 9. Therefore, the total number of composite numbers is 4.