Is 3187 a prime number?

The number 3187 has got 2 factors, that are capable of dividing the number completely without leaving any remainder. Thus, the number 3187 is a prime number. The factors of 3187 include 1 and 3187.

A number to be a prime number should follow the criteria that it should not have factors more than 2. Here, 3187 has only 2 factors, hence making it a prime 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 3187 would simply be

Divisors of 3187= 1, 3187

Number of divisors= 2

The number 3187 can be considered prime.

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 3187 are 1 and 3187.

Thus, 3187 consists of 2 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 from 3000 to 3200 are:

3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187, 3191

3187 is present in the list, thus making it a prime number.

This method is only used for a non-prime number/composite number. Since 3187 is a prime number, it does not have any prime factorization other than itself. Therefore, 3187 remains as 3187.

• Prime Number: A number greater than 1 that has exactly two distinct divisors: 1 and the number itself. For example, 3187 is a prime number because it can only be divided by 1 and itself.

• Divisibility Test: A method used to determine if one number can be evenly divided by another. If a number can be divided without leaving a remainder, it is divisible by that number. This test helps to identify prime numbers by checking divisibility by smaller primes.

• Divisors: The numbers that can divide a given number completely without leaving a remainder. For example, the divisors of 3187 are 1 and 3187 itself, confirming it is prime.

• Prime Factorization: The expression of a number as a product of prime numbers. Since 3187 is prime, it cannot be factored further into smaller prime numbers.

• Composite Number: A natural number greater than 1 that has more than two divisors. Unlike prime numbers, composite numbers can be divided by numbers other than 1 and themselves. 3187 is not composite because it has only two divisors.