Is 3331 a prime number?

The number 3331 has exactly 2 factors: 1 and 3331 itself. Therefore, the number 3331 is a prime number.

A number is considered a prime number if it has only 2 distinct positive divisors: 1 and itself. Since 3331 does not have any divisors other than 1 and 3331, it qualifies as a prime number.

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 checked whether the number is divisible by any numbers other than 1 and the number itself.

The counting divisors method for 3331 would simply be

Divisors of 3331 = 1, 3331
Number of divisors = 2

Since the number has exactly 2 divisors, it can be considered a prime number.
 

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

The divisors of 3331 are 1 and 3331.

Thus, 3331 has only 2 divisors, making it a prime number.

The prime number chart is a 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.

3331 is not present in the list, but that doesn't mean it's not a prime number. The chart is just for numbers under 100.
 

• Prime Number: A natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself. For example, 3331 is a prime number because it only has divisors of 1 and 3331.

• Divisibility Test: A method used to determine if a number is divisible by another number. For example, checking if 3331 is divisible by any prime numbers other than itself and 1.

• Divisors: The numbers that divide into a given number exactly, without leaving a remainder. For 3331, the divisors are 1 and 3331.

• Composite Number: A natural number greater than 1 that is not prime, meaning it has more than two distinct positive divisors. 3331 is not a composite number because it is prime.

• Prime Factorization: The process of breaking down a number into its prime factors. Since 3331 is a prime number, its prime factorization is just 3331 itself.