Is 3481 a prime number?

The number 3481 has got 3 factors, that are capable of dividing the number completely without leaving any remainder. Thus, the number 3481 is a non-prime number. The factors of 3481 include 1, 59, and 3481.

A number to be a prime number should follow the criteria, which is that it should not have factors more than 2. Here, 3481 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 3481 would simply be

Divisors of 3481 = 1, 59, 3481

Number of divisors = 3

The number 3481 can be considered composite.
 

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

The divisors of 3481 are 1, 59, and 3481.

Thus, 3481 consists of 3 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.

3481 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 3481 is a composite number, the prime factorization for 3481 is:

Factors of 3481 = 59 × 59
 

• Prime Number: A natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself. 3481 is not a prime number because it has more than two divisors.

• Composite Number: A number that has more than two factors. Since 3481 has divisors other than 1 and itself, it is a composite number.

• Divisors: The numbers that divide another number completely without leaving a remainder. For 3481, the divisors are 1, 59, and 3481.

• Prime Factorization: The process of expressing a number as a product of prime numbers. The prime factorization of 3481 is 59 × 59, as 59 is the only prime factor.

• Divisibility Test: A method used to determine if a number is divisible by another number, particularly by smaller prime numbers. The divisibility test shows that 3481 is divisible by 59, not just 1 and itself.