Is 34 a prime number?

How do we find whether a number is prime or not? Let us check out the various methods to learn when we have to check if a number is a prime number.

These different methods we can use to check if a number is a prime number are explained below;
 

The counting divisors method for 34 would simply be

• Divisors of 34= 1,2,3,17,34

• Number of divisors= 5

The number 34 can be considered composite.
 

In the divisibility method, the prime number only has 2 divisors, which are 1 and itself.

• Divisors of 34= 1,2,3,17,34

As 34 has factors more than 2 then it is not a prime number. 
 

The list of prime numbers under 100 are;

2,3,5,7,11,13,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97. 

34 is not present in the list, it is not a prime number.
 

This method is only used for a non-prime number/composite number. Since 34 is a composite number, prime factorization for 34 is :

• Factors of 34 = 2×17

• Prime numbers — numbers with factors that are 1 and the number alone. For example 1,3,5,7,11.

• Composite numbers — numbers with more than 2 factors in them. For example 4,6,8 etc

• Divisibility Method — In the divisibility method, the prime number only has 2 divisors, which are 1 and itself