In Mathematics, two types of numbers exist that rely on the factors they have. These two types of numbers are prime numbers and composite numbers. A prime number is a number that has only two factors i.e. one and itself whereas the composite number is a number that has more than two factors. In this article, we will study about what are prime numbers and composite numbers, prime composite numbers properties, and the difference between prime numbers and composite numbers.
Prime numbers are considered as the numbers which retain only two factors i.e. one and itself. It implies that the number can be divided only by 1 and itself. All prime numbers are an odd number apart from 2. Composite numbers are those numbers that retain more than two factors. It implies that the number except one and itself can be divided by other numbers also. Every non-prime number is a composite number.
List of Prime Numbers from 1 to 100
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2 |
3 |
5 |
7 |
11 |
13 |
17 |
19 |
23 |
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29 |
31 |
37 |
41 |
43 |
47 |
53 |
59 |
61 |
|
67 |
71 |
73 |
79 |
83 |
89 |
97 |
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Composite Numbers
The integer which can be obtained by multiplying the two smallest positive numbers and includes at least one divisor other than 1 is known as composite numbers. Composite numbers are neither a prime number nor a unit.
For example, 4, 6, 8, 9, 10…… are composite numbers because they have more than two factors.
Types of Composite Numbers
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Odd Composite Numbers
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Even Composite Numbers
Odd Composite Numbers
Every odd integer which is not a prime number is known as odd composite number. For example – 9, 15,21,25,27, and 31 are odd composite numbers.
Even Composite Number
Every even integer which is not a prime number is known as even composite number. For example, 4, 6,8,10, and 12 are even composite numbers.
List of Composite Numbers from 1 to 100
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4 |
6 |
8 |
9 |
10 |
12 |
14 |
15 |
16 |
18 |
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20 |
21 |
22 |
24 |
25 |
26 |
27 |
28 |
30 |
32 |
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33 |
34 |
35 |
36 |
38 |
39 |
40 |
42 |
44 |
45 |
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46 |
49 |
50 |
51 |
52 |
54 |
55 |
56 |
57 |
58 |
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60 |
62 |
63 |
64 |
65 |
66 |
68 |
69 |
70 |
72 |
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74 |
75 |
76 |
77 |
78 |
80 |
81 |
82 |
85 |
86 |
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87 |
88 |
90 |
91 |
92 |
93 |
94 |
95 |
96 |
98 |
99 |
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Prime Numbers
A prime number is a positive integer which has only two factors i.e. one and itself. It implies that the number can be divided only by one and itself.
For example – 2, 3, 5, 7, 11….etc. are some of the prime numbers.
Important Facts about Prime Numbers
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The number 2 is only an even prime number. Other even numbers can be divided by 2. So the even numbers which can be divided by 2 are not prime numbers.
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Zero and 1 are not prime numbers.
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The numbers 0 and 1 are neither considered as prime numbers nor composite numbers.
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Not a single prime number greater than 5 ends with a 5. Since, any number greater than 5 that ends with 5 can be easily divided by 5,. so, it cannot be considered as a prime number.
Solved Examples
1. Find if number 53 is considered as a prime number or not.
Solution: Factors of 53 are
1 and 53.
The number 53 is divided by only two numbers that are 1 and itself.
Hence, 53 is a prime number.
2. Is 6 a prime number or composite number?
Solution: Factors of 6 are 1,2,3, and 6.
6 can be easily divided by 1, 2, 3, and 6 itself.
6 is a composite number as it can be divided by more than 2 numbers except 1 and itself.