Is 3301 a prime number?

The number 3301 has 4 factors, which are capable of dividing the number completely without leaving any remainder. Thus, the number 3301 is a non-prime number. The factors of 3301 include 1, 11, 301, and 3301.

A number to be a prime number should follow the criteria that it should not have factors more than 2. Here, 3301 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 3301 would simply be

Divisors of 3301 = 1, 11, 301, 3301
Number of divisors = 4

The number 3301 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 3301 are 1, 11, 301, and 3301.

Thus, 3301 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.

3301 is not present in the list, and since it has divisors other than 1 and itself, it is not a prime number.
 

This method is only used for a non-prime number/composite number. Since 3301 is a composite number, the prime factorization for 3301 is:

Factors of 3301 = 11 × 301.
 

• Prime Number: A natural number greater than 1 that has no positive divisors other than 1 and itself. Examples include 2, 3, 5, and 7. 3301 is not a prime number because it has more than two divisors.

• Composite Number: A number greater than 1 that has more than two divisors. For example, 3301 is composite because it has divisors 1, 11, 301, and 3301.

• Divisors: Numbers that divide another number completely without leaving a remainder. For 3301, the divisors are 1, 11, 301, and 3301.

• Prime Factorization: The expression of a number as the product of its prime factors. Since 3301 is composite, its prime factorization is 11 × 301.

• Counting Divisors Method: A method for determining whether a number is prime by counting how many divisors it has. If it has more than two divisors, it is a composite number. 3301 has 4 divisors, making it composite.