# Number of Prime between 1 to 100 is …………………………

Answer

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**Hint:**

Here, we will use the concept of Prime numbers to answer this question. We will list all the prime numbers between 1 to 100 and count them to find the required answer. Prime numbers are defined as a number having only two positive integers as their factors.

**Complete step by step solution:**

We know that the factors of a Prime number are 1 and itself.

So, we will list all the numbers which have only 2 factors : 1 and the number itself.

The Prime numbers between the numbers 1 to 100 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

Here, we can see that the total count of prime numbers is 25.

**Therefore, the Number of Prime between 1 to 100 is 25.**

**Additional Information:**

Some of the Properties of Prime numbers include:

1) Every number greater than 1 can be divided by at least one prime number.

2) Every even positive integer greater than 2 can be expressed as the sum of two Primes.

3) Except 2, all other primes are odd.

4) 2 is the only even number which is Prime.

5) Two primes are always co prime to each other.

**Note:**

We should know that every Prime number can be expressed in the form as \[6n - 1\] or \[6n + 1\] except the multiples of the first five prime numbers where \[n\] is a natural number. This form is not appropriate for the first two Prime numbers. Any Prime number greater than 40 is of the form \[{n^2} + n + 41\]. We should remember that 1 is neither a Prime number nor a composite number. A composite number is defined as a number having more than two factors.

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