Is 7429 a prime number?

The number 7429 has got several factors, that are capable of dividing the number completely without leaving any remainder. Thus, the number 7429 is a non-prime number. The factors of 7429 include 1, 7, 1061, and 7429.

A number to be a prime number should follow the criteria that it should not have factors more than 2. Here, 7429 has more than 2 factors, hence making it a composite number.

Given below are a few ways that can be used to find prime or composite numbers.

The different methods we can use to check if a number is a prime number are explained below:

1. Counting Divisors Method
2. Divisibility Test
3. Prime Number Chart
4. Prime Factorization
    

For the counting divisors method, it is to be checked whether the number is divisible by any numbers other than 1 and the number itself.

The counting divisors method for 7429 would simply be:

Divisors of 7429 = 1, 7, 1061, 7429
Number of divisors = 4

The number 7429 can be considered composite.
 

In the division method, we try to divide the number by any of the prime numbers. If we cannot, then it is considered a prime number.

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

The divisors of 7429 are 1, 7, 1061, and 7429.

Thus, 7429 consists of 4 factors that divide it completely without any remainder.
 

The prime number chart is the list of prime numbers starting from 2 to infinity.

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.

7429 is not present in the list, so it is not a prime number.
 

This method is only used for a non-prime number/composite number. Since 7429 is a composite number, the prime factorization for 7429 is:

Factors of 7429 = 7 × 1061
 

• Prime Number: A natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself. Example: 2, 3, 5.

• Composite Number: A number that has more than two distinct positive divisors. Example: 4, 6, 7429 (since it has divisors 1, 7, 1061, and 7429).

• Divisibility Test: A method used to determine whether one number can be divided by another without leaving a remainder. Example: Checking if 7429 is divisible by 13 or 571.

• Prime Factorization:The process of breaking down a composite number into its prime factors. Example: The prime factorization of 7429 is 13 × 571.

• Counting Divisors Method: A method to determine if a number is prime by counting how many numbers divide it completely. Example: The divisors of 7429 are 1, 7, 1061, and 7429, which makes it a composite number.