Prime and Composite Numbers

Prime numbers are numbers that are divisible by one and itself or we can say that they have exactly two factors. These numbers only appear in the tables of 1 and the number itself. They do not appear in the table of other numbers.

Examples are: 2, 3, 5, 7, 11, and 13…… etc

Composite numbers are numbers that are not only divisible by one and itself but are divisible by other numbers as well or we can say they do not have exactly two factors but more number of factors. These numbers appear in the tables of various other numbers except one and the number itself.

Examples are: 4, 6, 8, 9, 12, 14, 16, and 18 ……….etc.

1 does not fall under the head of prime or composite number hence termed as co-prime number.


How can we find out whether a number is prime or composite?

Check the factors of the given number

There are two possibilities

Prime or Composite

Here is a list showing all the prime numbers

List of Prime Numbers

The numbers that are highlighted are prime numbers and the numbers that are not highlighted are called composite number.

1 is not highlighted but it is not a composite number it is a co-prime number as mentioned earlier.

One important thing to note from the grid of numbers given is that all the prime numbers are odd numbers except 2. That is why 2 is called the only even prime number as all other prime numbers are odd.


Examples of sum more prime numbers:

101, 103, 107, 109, 113, 127, 131, 137, 139, 149

Example:

Find the prime numbers from 50 to 60

Factors of 50   

50 × 1 = 50

2 × 25 = 50

5 × 10 = 50  

More than 2 factors; composite

Factors of 51  

51 × 1 = 51

3 × 17 = 51

More than 2 factors; composite

Factors of 52      

52 × 1 = 52

26 × 2 = 52

13 × 4 = 52

More than 2 factors; composite

Factors of 53    

53 × 1 = 53

2 factors; Prime

Factors of 54      

54 × 1=54

2 × 27 = 54

3 × 18 = 54

6 × 9 = 54

More than 2 factors; composite

Factors of 55      

55 × 1 = 55

11 × 5 = 55

More than 2 factors; composite

Factors of 56      

56 × 1 = 56

2 × 28 = 56

7 × 8 = 56

4 × 14 = 56

More than 2 factors; composite

Factors of 57

57 × 1 = 57

3 × 19 = 57

More than 2 factors; composite

Factors of 58    

58 × 1 = 58

2 × 29 = 58

More than 2 factors; composite

Factors of 59

59 × 1 = 59

2 factors ; Prime

Factors of 60

60 × 1 = 60

6 × 10 = 60

2 × 30 = 60

3 × 20 = 60

4 × 15 = 60

12 × 5 = 60

More than 2 factors; composite






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