Is 59 a prime number?

All real numbers are classified as prime or composite numbers. The number 59 is a prime number, and in prime factorization of 59, we get only one and fifty-nine as the factors of 59.

As long as 59 has exactly two factors, that is 1 and 59, it is a prime number.

For a number to be prime, it has to satisfy the below conditions; 

1.The number should have only 2 divisors 

2.The factors should be number 1 and itself only.

Listed below are some methods to find out whether a particular number is prime or not;

• Counting Divisors Method

• Divisibility Test Method

• Prime Number Chart

• Prime Factorization 
   

In the counting divisors method, we list the divisors of the given number and check if the number, to be considered prime, satisfies the two conditions.

The counting divisors method for 59 would simply be:

• Divisors of 59 = 1, 59.

• Number of divisors = 2

The number 59, hence, can say to be prime. 
 

In this method, the prime number only has two divisors, which are one and themselves. Hence, there is no divisibility test for the number 59 other than checking if it is divisible by one and fifty-nine. 

List the prime number chart up to 60. 

The prime numbers from 1 to 60 are 1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59. By keeping a note of the chart like above, we can easily realize a number is prime or not. 
 

Prime factorization is only applicable to non-prime numbers/composite numbers. As long as 59 has no other factor than 1 and 59, it has no option to factored into smaller prime numbers.

• Prime Number: A number that can be divided by itself or 1 is called a prime number. 

• Composite Number: A number that can be prime factorized further. It has factors more than itself and 1. 

• Prime Factorization: Splitting down a number into its smaller factors is said to be a prime factorization.