The numbers are broadly classified into two categories on the basis of divisibility:

- Prime Numbers
- Composite Numbers

Here, we shall study in detail about composite numbers.

Composite numbers are opposite to the prime numbers. The numbers that are not prime, are categorized as composite numbers. The positive integers which are greater than one and are divisible by at least a number other than 1 and itself, are referred as composite numbers.

In other words, we can say that

There exists an infinite number of composite numbers. Given below is the list of first hundred composite numbers -

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 |

We can conclude few facts about composite numbers summarizing them -

- Composite numbers leave no remainder when divided by at least a number other than 1 and itself.
- There are uncountable or infinite composite numbers.
- Composite number is always a positive integer.
- Non-prime numbers are composite numbers.
- 1 is not a composite number and not even a prime number.
- The smallest composite number is 4.
- An even number greater than 2 is necessarily a composite number, since it would definitely be divisible by 2.
- The numbers ending in 5 and greater than 5 are necessarily composite numbers, since these will be divisible by 5.

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List of Composite Numbers | Examples of Composite Numbers |