Is 1157 a prime number?

The number 1157 has got more than 2 factors, making it a non-prime number. The factors of 1157 include 1, 13, 89, and 1157.

A number to be a prime number should follow the criteria that it should not have factors more than 2. Here, 1157 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 1157 would simply be:

Divisors of 1157 = 1, 13, 89, 1157
Number of divisors = 4

The number 1157 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 1157 are 1, 13, 89, and 1157.

Thus, 1157 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, 13, 23, 29, 31, 37, 41, 43, 47, 53, 59, 89, 67, 71, 73, 79, 83, 89, 97.

1157 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 1157 is a composite number, the prime factorization for 1157 is:

Factors of 1157 = 13 × 89

Prime Number: A number that has exactly two distinct positive divisors: 1 and itself. For example, 2, 3, 5, and 7 are prime numbers. A prime number cannot be divided evenly by any other number.

Composite Number: A number that has more than two distinct divisors. In other words, it can be factored into smaller positive integers. For example, 6 has divisors 1, 2, 3, and 6, making it a composite number.

Divisors: The numbers that divide a given number evenly without leaving a remainder. For example, the divisors of 1157 are 1, 13, 89, and 1157.

Prime Factorization: The process of breaking down a composite number into the prime numbers that multiply together to give the original number. For 1157, its prime factorization is 13 × 89.

Divisibility Test: A method used to determine whether a number is divisible by another number without performing the full division. For example, checking if 1157 is divisible by prime numbers like 2, 3, or 5 helps in determining its primality.