Prime numbers are a special category of natural numbers (or positive integers) which are exactly divisible by 1 and by itself. So, a prime number has exactly two divisors. Prime number is a number which is greater than 1 and which can be efficiently divided by 1 and by itself, not by any other number. It is also a whole number.
An Integer P > 1 is called a prime number when its only divisors are 1 and P. Any number m > 1 which is not a prime is called a composite.
Theorem: Every composite number could be factored into prime factors and each of these is unique in nature.Simple properties of primes:
(a) A prime 'p' is either relatively prime to a number 'n' or divide it.
(b) A product is divisible by a prime 'p' only when 'p' divides one of the factors.
(c) Every n > 1 is divisible by some prime.
Related Calculators  
Calculate Prime Number  Calculate Prime Factors 
Find Prime Factorization Calculator  Prime Factorization Tree Calculator 
Prime numbers are a special category of natural numbers or positive integers which are exactly divisible by 1 and the number itself. So, a prime number has exactly two divisors.
Largest Prime Number
The largest known prime number is 2$^{74,207,281}$  1 as of January 2016. It is said to have 22,338,618 digits.
Smallest Prime Number
As we know, 2 is the smallest prime number.
Till now, we have explained the concept of prime numbers and given below is list of prime numbers for your better knowledge.
The list from 1 to 200 are as follows:
 3  5  7  11  13  17  19  23  29 
31  37  41  43  47  53  59  61  67  71 
73  79  83  89  97  101  103  107  109  113 
127  131  137  139  149  151  157  163  167  173 
179  181  191  193  197  199 




According to the prime number definition, we can say that 1 is not a prime number. The definition says that a prime number should have exactly two divisors. But 1 has only one divisor. So, 1 is not a prime number.
More topics in Prime Numbers  
Prime Numbers up to 100  Properties of Prime Numbers 
Relatively Prime Numbers  
Related Topics  
Math Help Online  Online Math Tutor 