Is 5981 a prime number?

The number 5981 has 4 factors, which are capable of dividing the number completely without leaving any remainder. Thus, the number 5981 is a non-prime number. The factors of 5981 include 1, 13, 461, and 5981.

A number to be a prime number should follow the criteria that it should not have factors more than 2. Here, 5981 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, we check whether the number is divisible by any numbers other than 1 and the number itself.

The counting divisors method for 5981 would simply be:

Divisors of 5981 = 1, 13, 461, 5981
Number of divisors = 4

The number 5981 can be considered composite.
 

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

The divisors of 5981 are 1, 13, 461, and 5981.

Thus, 5981 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, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

5981 is not present in the list, so it is not a prime number.
 

This method is only used for a non-prime/composite number. Since 5981 is a composite number, the prime factorization for 5981 is:

Factors of 5981 = 13 × 461.
 

• 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 divisors. It is not a prime number. Example: 4, 6, 5981.

• Divisors: The numbers that can divide a given number without leaving a remainder. For example, the divisors of 5981 are 1, 13, 461, and 5981.

• Prime Factorization: The expression of a number as the product of its prime factors. For 5981, the prime factorization is 7 × 59 × 17.

• Divisibility Test: A method used to determine if a number is divisible by another number, especially prime numbers like 2, 3, 5, or 7, to check for primality.