Is 29 a prime number?

29 is a prime number, and on prime factorization of 29, we get only 1 and 29 as the factors of 29.

Whereas 29 has exactly two factors, that is 1 and 29, it is a prime number.

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

• The number should have only 2 divisors 

• The factors should be number 1 and itself only.

Listed below are some of the 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 29 would simply be:

• Divisors of 29 = 1, 29.

• Number of divisors = 2

The number 29, hence, can be considered prime. 
 

In this method, the prime number only holds two divisors, which are one and themselves.

Hence, there is no any specific divisibility test for the number 29 other than checking if it is divisible by one and twenty-nine. 
 

List the prime number chart up to 40. 

The prime numbers from 1 to 40 are 1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37.

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. Since 29 has no other factor than 1 and 29, it cannot be factored into smaller prime numbers.
 

• Prime Number: A number which has only 2 divisors, out of which is 1 and the other is the number itself.

• Composite Number: A number that can be prime factorized further or a number that has divisors other than one and itself. 

• Prime Factorization: Breaking down a number into its smaller factors is called prime factorization.