Answer :
To determine which type of numbers have exactly two factors, we need to understand the characteristics of different types of numbers.
1. Even Numbers: These are numbers that are divisible by 2. Examples include 2, 4, 6, 8, etc. Even numbers can have more than two factors. For instance, 6 has factors 1, 2, 3, and 6.
2. Odd Numbers: These are numbers that are not divisible by 2. Examples include 1, 3, 5, 7, etc. Odd numbers can also have more than two factors. For example, 9 has factors 1, 3, and 9.
3. Prime Numbers: These are numbers greater than 1 that have no divisors other than 1 and themselves. Examples include 2, 3, 5, 7, 11, etc. By definition, a prime number has exactly two distinct factors: 1 and the number itself.
4. Composite Numbers: These are numbers greater than 1 that have more than two factors. Examples include 4 (factors: 1, 2, 4), 6 (factors: 1, 2, 3, 6), 8 (factors: 1, 2, 4, 8), etc.
From the above analysis, it is clear that prime numbers are the numbers that have exactly two factors: 1 and the number itself.
Therefore, the correct answer is:
(c) Prime
1. Even Numbers: These are numbers that are divisible by 2. Examples include 2, 4, 6, 8, etc. Even numbers can have more than two factors. For instance, 6 has factors 1, 2, 3, and 6.
2. Odd Numbers: These are numbers that are not divisible by 2. Examples include 1, 3, 5, 7, etc. Odd numbers can also have more than two factors. For example, 9 has factors 1, 3, and 9.
3. Prime Numbers: These are numbers greater than 1 that have no divisors other than 1 and themselves. Examples include 2, 3, 5, 7, 11, etc. By definition, a prime number has exactly two distinct factors: 1 and the number itself.
4. Composite Numbers: These are numbers greater than 1 that have more than two factors. Examples include 4 (factors: 1, 2, 4), 6 (factors: 1, 2, 3, 6), 8 (factors: 1, 2, 4, 8), etc.
From the above analysis, it is clear that prime numbers are the numbers that have exactly two factors: 1 and the number itself.
Therefore, the correct answer is:
(c) Prime
