Leave the number 1 as all prime numbers are greater than one. Following are the steps to find all the prime numbers up to 100 by Eratosthenes' method.
It is an ancient method for finding all the prime numbers up to any given limit. We can find prime numbers in mathematics by using an ancient technique that is the sieve of Eratosthenes.
Integer factorization or prime factorization is the method to find prime numbers. Prime numbers cannot be divided by any other number except the number 1 and the number itself. A number can be a prime number if it is a non-zero whole number. Prime numbers are natural numbers greater than 1, having only two factors, one and the number itself. Number 1 is neither a prime number nor a composite number as it has only one factor that is one itself and prime numbers are those natural numbers having two factors that is one and the number itself. There are only two factors of 5 that is one and the number itself, therefore 5 is a prime number. This is because 5 can only be factorized as follows: For example, 5 cannot be divided into groups of equal numbers. We can divide a number into groups with equal numbers of items only if it can be factorized as a product of two numbers. In other words, if a number cannot be divided into equal groups, then it is a prime number. 
A factor is a number that exactly divides the given number.Īny given natural number has one and itself as its factors is defined as a prime number in mathematics. After reading the definition of prime numbers the question that arises is what are the factors.
The natural numbers having only two factors that is one and the number itself or we can say that the numbers that are divisible by themselves and by one are known as prime numbers.
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