Is 1153 a prime number?

The number 1153 has got only 2 factors, which are capable of dividing the number completely without leaving any remainder. Thus, the number 1153 is a prime number. The factors of 1153 include 1 and 1153.

A number to be a prime number should follow the criteria, which is that it should not have factors more than 2. Here, 1153 has exactly 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 1153 would simply be:

Divisors of 1153 = 1, 1153
Number of divisors = 2

The number 1153 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 1153 are 1 and 1153.

Thus, 1153 consists of exactly 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 under 1200 includes:
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, ... 1129, 1153.

1153 is present in the list, confirming it is a prime number.

Prime Number: A number greater than 1 that has exactly two distinct positive divisors: 1 and itself. For example, 2, 3, and 1153 are prime numbers.

Factors: Numbers that divide another number completely without leaving any remainder. For instance, the factors of 1153 are 1 and 1153.

Divisibility Test: A method used to check if a number can be divided evenly by another number without a remainder. For prime numbers, this test confirms they are divisible only by 1 and themselves.

Composite Number: A number greater than 1 that has more than two distinct positive divisors. For example, 4 and 12 are composite numbers, unlike 1153.

Prime Factorization: Breaking down a number into a product of its prime factors. Since 1153 is prime, its prime factorization is simply 1 × 1153.