Is 1139 a prime number?

The number 1139 has got 4 factors, that are capable of dividing the number completely without leaving any remainder. Thus the number 1139 is a non-prime number. The factors of 1139 include 1, 7, 163, and 1139.

A number to be a prime number should follow the criteria that it should not have factors more than 2. Here, 1139 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 1139 would simply be:

Divisors of 1139 = 1, 7, 163, 1139
Number of divisors = 4

The number 1139 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 1139 are 1, 7, 163, and 1139.

Thus, 1139 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.

1139 is not present in the list, so it is not a prime number.

This method is only used for a non-prime number/composite number. Since 1139 is a composite number, the prime factorization for 1139 is:

Factors of 1139 = 7 × 163

Prime Number: A natural number greater than 1 that has only two distinct positive divisors: 1 and itself. Examples include 2, 3, 5, and 7.

Composite Number: A number that has more than two distinct divisors. In other words, a composite number can be divided evenly by numbers other than 1 and itself. For example, 1139 is a composite number because it can be divided by 7 and 163.

Divisors: The numbers that divide a given number completely without leaving any remainder. For instance, the divisors of 1139 are 1, 7, 163, and 1139.

Prime Factorization: The process of breaking down a composite number into the product of its prime factors. For example, the prime factorization of 1139 is 7×1637 \times 1637×163.

Divisibility Rules: Simple rules used to determine whether one number is divisible by another. Common divisibility rules include those for 2, 3, 5, and 7, which can help identify prime or composite numbers quickly.