Step 5: 7 is the next number in the list after 5 the next step would be to cross out all the multiples of 7 in the list, such as 14, 21, 28, 35, 42, 49, 56, 63 and so on up to 100.Step 4: 5 is the next number in the list after 3 cross out all the multiples of 5 in the list, such as 10, 15, 20, 25, 30 and so on up to 100.Step 3: 3 is the next number in the list after 2 cross out all the multiples of 3 in the list, such as 6, 9,12, 15, 18, 21, 24 and so on up to 100.The number 2 is the first number in the list and it is a prime number too cross out all the multiples of 2 in the list. Step 2: Ignore the number 1 and start from 2.Step 1: First create a list of numbers from 2 to 100 as shown in the figure given below.Leave the number 1 as all prime numbers are greater than one. The following steps show how 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. A composite number is defined as a number having more than two factors.We can find prime numbers in mathematics by using an ancient technique, that is, the sieve of Eratosthenes.
We should remember that 1 is neither a Prime number nor a composite number. Any Prime number greater than 40 is of the form \. This form is not appropriate for the first two Prime numbers. We should know that every Prime number can be expressed in the form as \ or \ except the multiples of the first five prime numbers where \ is a natural number. Some of the Properties of Prime numbers include:ġ) Every number greater than 1 can be divided by at least one prime number.Ģ) Every even positive integer greater than 2 can be expressed as the sum of two Primes.Ĥ) 2 is the only even number which is Prime.ĥ) Two primes are always co prime to each other. Therefore, the Number of Prime between 1 to 100 is 25. Here, we can see that the total count of prime numbers is 25. So, we will list all the numbers which have only 2 factors : 1 and the number itself. We know that the factors of a Prime number are 1 and itself. Prime numbers are defined as a number having only two positive integers as their factors. We will list all the prime numbers between 1 to 100 and count them to find the required answer.
Here, we will use the concept of Prime numbers to answer this question.
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