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The number of positive even number less than 100 , having exactly two distinct factors other than 1 and itself,is?
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The number of positive even number less than 100 , having exactly two ...
- **Identifying the Problem**
In this problem, we are asked to find the number of positive even numbers less than 100 that have exactly two distinct factors other than 1 and itself.
- **Understanding the Requirements**
For a number to have exactly two distinct factors other than 1 and itself, it must be a prime number. However, since we are looking for even numbers, the only even prime number is 2.
- **Determining the Even Numbers Less Than 100**
We need to identify all the even numbers less than 100. These numbers are 2, 4, 6, 8, ..., 96, 98.
- **Checking for Prime Factors**
Among these even numbers, only 2 is a prime number. Therefore, the only even number less than 100 that satisfies the requirement of having exactly two distinct factors other than 1 and itself is 2.
- **Final Answer**
Therefore, the number of positive even numbers less than 100 that have exactly two distinct factors other than 1 and itself is 1, which is the number 2.
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The number of positive even number less than 100 , having exactly two distinct factors other than 1 and itself,is?
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