Is 1123 a prime number?

The number 1123 has got only 2 factors, which are capable of dividing the number completely without leaving any remainder. Thus, the number 1123 is a prime number. The factors of 1123 include 1 and 1123.

A number to be a prime number should follow the criteria that it must not have more than 2 factors. Here, 1123 has exactly 2 factors, fulfilling the criteria and 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 1123 would simply be:

Divisors of 1123 = 1, 1123
Number of divisors = 2

The number 1123 can be considered prime.

In the division test, we try to divide the number by any of the prime numbers smaller than the given number. If no smaller prime number divides it, then it is considered a prime number.

In the divisibility method, a prime number only has 2 divisors, which are 1 and itself.

The divisors of 1123 are 1 and 1123.

Thus, 1123 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 2000 includes:
2, 3, 5, 7, 11, 13, 17, 19,.... 1091, 1093, 1097, 1103, 1123, ...

1123 is present in the list, confirming that it is a prime number.

Prime Number: A natural number greater than 1 that has only two distinct positive divisors: 1 and itself. For example, 7 and 11 are prime numbers.

Composite Number: A natural number greater than 1 that has more than two distinct positive divisors. For instance, 1123 is a composite number because it has divisors other than 1 and itself.

Divisibility: The ability of one number to be divided by another number without leaving a remainder. For example, 1123 is divisible by 7, 13, and 23.

Prime Factorization: The process of expressing a number as the product of its prime factors. For 1123, the prime factorization is 7 × 13 × 23.

Divisors: The numbers that divide another number exactly (without remainder). For 1123, the divisors are 1, 7, 13, 23, 49, 91, and 1123.