Least prime number is :

Question

Accepted Answer

The least prime number is 2, which is correctly identified as Option 3. Here is a detailed explanation supporting this:

1. **Explanation for Option 3 (2):**
   - A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. The number 2 fits this definition perfectly as it is greater than 1 and can only be divided evenly by 1 and 2. Additionally, 2 is the smallest number that meets these criteria, making it the least prime number. It is also the only even prime number, as all other even numbers can be divided by 2, making them non-prime.

2. **Explanation for why other options are incorrect:**
   - **Option 1 (0):** The number 0 is not considered a prime number. Prime numbers must be greater than 1, and 0 does not meet this criterion. Additionally, 0 has an infinite number of divisors, which disqualifies it from being prime.
   - **Option 2 (1):** The number 1 is not a prime number. By definition, a prime number must have exactly two distinct positive divisors: 1 and itself. The number 1 only has one positive divisor (1), so it does not meet the criteria for being a prime number.
   - **Option 4 (3):** While 3 is a prime number, it is not the least prime number. The number 2 is smaller than 3 and is also a prime number, making 2 the least prime number. Therefore, Option 4 is incorrect in the context of identifying the least prime number.

In conclusion, Option 3 is the correct answer because 2 is the smallest number that satisfies the conditions of being a prime number.