Is 1131 a prime number?

The number 1131 has got 4 factors, that are capable of dividing the number completely without leaving any remainder. Thus, the number 1131 is a non-prime number. The factors of 1131 include 1, 3, 11, and 1131.

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

Here, 1131 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 1131 would simply be

Divisors of 1131 = 1, 3, 11, 1131
Number of divisors = 4

The number 1131 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 1131 are 1, 3, 11, and 1131.

Thus, 1131 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, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

1131 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 1131 is a composite number, the prime factorization for 1131 is:

Factors of 1131 = 3 × 11 × 34

Prime Number: A number that has only two distinct positive divisors: 1 and itself. For example, 2, 3, 5, and 7 are prime numbers.

Composite Number: A natural number greater than 1 that has more than two distinct positive divisors. For example, 4, 6, 8, and 1131 are composite numbers.

Divisibility Test: A method used to determine if one number can be evenly divided by another number, usually checking divisibility by prime numbers like 2, 3, 5, etc.

Prime Factorization: The process of expressing a number as the product of prime numbers. For example, the prime factorization of 1131 is 3 × 11 × 34.

Divisors: Numbers that divide another number without leaving a remainder. For example, the divisors of 1131 are 1, 3, 11, 17, 33, 51, 113, 187, and 1131.