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What is the smallest prime number?

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The smallest prime number is 2 because it is the first number greater than 1 that has no positive divisors other than 1 and itself. A prime number is defined as a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

For 2, the only divisors are 1 and 2, meeting the criteria for being prime. Notably, 2 is unique because it is also the only even prime number. Every other even number can be divided by 2, meaning those numbers have additional divisors and thus cannot be prime.

On the other hand, the numbers 0 and 1 do not qualify as prime. Zero is not considered a prime number because it does not meet the basic condition of being greater than 1. Similarly, 1 is excluded from being prime because it only has one positive divisor (itself) and fails to meet the definition established for prime numbers. The number 3, while prime, is larger than 2, and thus cannot be the smallest prime number.

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