Is 5 a prime number?

The number 5 is a prime number. If you want to conclude that a number is prime or not, it must be greater than one and only divisible by one and itself Here the number 5 meets the prime number definition.

Where it is greater than 1 and can only be divided evenly by 1 and 5 – it confirms that 5 is a prime number.

Because the number 5 holds only two different divisors, as it meets the condition of having no factors but itself and 1. 

Listed below are the methods by which we can devise if a particular number is prime or not;
 

The only condition, this method, involves is that a particular number is prime if and only if it has two distinct integers as its divisors.

In the case of 5, the only two distinct divisors are: 1 and 5

Hence, 5 is prime.
 

Here, we check if 5 is divisible by any other number but 1 and 5. In a case where a number is divisible by any number that falls between 2 and the square root of the number itself, it is composite. 

Testing the same in case of 5:

Step 1: Checking divisibility by 2: 5 is odd, hence, will not be divisible by 2. 

Step 2: Checking divisibility by 3: When 5 is divided by 3, it leaves behind a remainder, making it not divisible by 3.

 
Step 3: Checking divisibility by 4: The last two digits of 5 are 05 only. 5 is not perfectly divisible by 4

Also, the square root of 5 is less than 5, so no need to check divisibility greater than 4.

Here, you can conclude that 5 is a prime number.
 

The list of  prime numbers charts up to 10 are —  1, 2, 3, 5, 7,

5 is a prime number, ascertained from the above prime number  chart.

Composite numbers can be split down using prime factorization. However, 5 has no factors but 1 and itself, therefore it cannot be factored into smaller prime numbers. 
 

• Composite numbers: Composite numbers are numbers, which are greater than 1 and have more than two factors.

• Twin prime numbers: Those prime number pairs that have a difference of 2.

• Divisor: Integers that divide the numbers, leaving no remainder behind.

• Co-prime number: Two numbers with no common factor apart from 1.