Is 13 a prime number?

Prime numbers are the numbers that have no factors other than 1 and themselves. 

In the given case, 13, the factors are 1 and 13, therefore it identifies as a prime number. 

13 is a prime number as it has only two distinct divisors; 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 condition for a particular number to be prime is that it only has to have two distinct positive integers. 

If a particular number satisfies the condition, it is regarded as a prime number. 

By understanding the above, we can conclude that 13 is a prime number. 
 

Here, we check if 13 is divisible by any other number but 1 and 13. 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 13;

Checking divisibility by 2: 13 is odd, hence, will not be divisible by 2. 

Checking divisibility by 3: When 13 is divided by 3, it leaves behind a remainder, making it not divisible by 3. 

By understanding the above, we can conclude that 13 is a prime number.
 

The list of prime numbers up to 20 are — 2,3,5,7,11,13,17,19 

Following the above chart for reference we can ascertain that 13 is a prime number.
 

Composite numbers can be broken down using prime factorization, however, 13 has no factors but 1 and itself,

therefore it cannot be factored into smaller prime numbers. 
 

• Prime Factorization: The process of breaking down a number into its prime factors is called Prime Factorization. 

• Composite numbers: Composite numbers are numbers with multiples that are not just 1 and the number itself.

• Twin prime numbers: Twin primes are those prime number pairs that have a difference of 2. 

• Divisor: Integers that divide into numbers leaving no remainders behind.