Prime and Composite Numbers
Prime and Composite Numbers
Prime and Composite Numbers:
We are now familiar with the factors of a number. Observe the number of factors of a few numbers arranged in this table.
| Numbers | Factors | Number of Factors |
1 2 3 4 5 6 7 8 9 10 11 12 | 1 1,2 1,3 1,2,4 1,5 1,2,3,6 1,7 1,2,4,8 1,3,9 1,2,5,10 1,11 1,2,3,4,6,12 | 1 2 2 3 2 4 2 4 3 4 2 6 |
We find that (a) The number 1 has only one factor (i.e. itself)
(b) There are numbers, having exactly two factors 1 and the number itself. Such number are 2,3,5,7,11 etc. These numbers are prime numbers.
The numbers other than 1 whose only factors are 1 and the number itself are called prime numbers.
(c) There are numbers having more than two factors like 4, 6, 8, 9, 10 and so on.
These numbers are composite numbers.
Numbers having more than two factors are called composite numbers.
| 1 is neither a prime nor a composite number |
If p is the prime number that (p+2) is also a prime number , then p(p+2)+1 is always ___________________
| |||
| Right Option : D | |||
| View Explanation |
The smallest composite number is __________. | |||
| Right Option : C | |||
| View Explanation | |||
The smallest odd composite number is ___________ | |||
| Right Option : B | |||
| View Explanation | |||
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