How Many Prime Numbers Are There In Between 1 To 50?

There are 15 prime numbers between 1 to 50 i.e. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and 47.

A whole number that is greater than 1 and can only be divided by 1 and by itself is called prime number. In other words, they can also be described as positive integers that contain only two factors i.e. 1 and the number itself are considered as prime numbers. 1 is neither a prime nor a composite number because it has only one factor. Every prime number is therefore larger than 1. In addition, we can say that all other numbers, with the exception of 1, are divided into prime and composite numbers. Primes number can be determined by the following methods-

• A number ending with 0, 2, 4, 6 or 8 cannot be a prime number.

• A number is not considered to be a prime number if its digit sum is divisible by three.

• Every prime number is an odd number (except 2).

• Every prime number can be written as 6n-1 or 6n+1, where n is a natural number.

• To find prime numbers greater than 40 we use the formula -

n^{2}+n+41

, where n is a natural number.

• To find prime numbers we first have to write the factors of the given number. If the number has more than 3 factors then it is not a prime number.

Example

We have to find out whether 53 is a prime number or not.

Applying the formula-

n^{2}+n+41

Substituting the value of "n" where n is a natural number and on solving the equation we get 53, if 53 is a prime number. On substituting n = 4 we get,

4^{2}+4+41=53