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Prime numbers are natural numbers that are divisible by only 1 and the number itself. In other words, prime numbers are positive integers greater than 1 with exactly two factors, 1 and the number itself. Some of the prime numbers include 2, 3, 5, 7, 11, 13, etc. Always remember that 1 is neither prime nor composite. Also, we can say that except for 1, the remaining numbers are classified as prime and composite numbers . All prime numbers are odd numbers except 2, 2 is the smallest prime ... What is the smallest prime number ? Solution: A prime number is a number that has only two factors, that is 1 and the number itself. The smallest non-zero number is 1. The factor of 1 = 1 1 has only one factor which is 1 itself. The next smallest non-zero number is 2. Factors of 2 = 1 and 2 It has only two factors, 1 and the number itself 2. Therefore, 2 is the smallest prime number . Smallest known PRime Largest Prime Number There are much larger Prime Numbers which is discovered and the method which is used to discover the larger primes is GIMPS (Great Internet Mersenne Prime Search) [a prime number of the form 2p -1, is called Mersenne Primes]. Prime Numbers - Prime numbers are those numbers that have only two factors, i.e., 1 and the number itself. For example, 2, 3, 7, 11, and so on are prime numbers .