Is 1103 a prime number?

The number 1103 has factors that we need to examine to determine whether it is prime. Let's explore whether 1103 can be divided by any number other than 1 and itself.

A number is considered a prime number if it has only two factors: 1 and itself. If it has more than two factors, it is a composite number. Let's check if 1103 has any divisors other than 1 and 1103.

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, we check whether the number is divisible by any numbers other than 1 and the number itself.

The counting divisors method for 1103 would simply be

Divisors of 1103 = 1, 1103
Number of divisors = 2

Since 1103 only has 2 divisors, it is a prime number.

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, a prime number has only 2 divisors, which are 1 and itself.

The divisors of 1103 are 1 and 1103.

Thus, 1103 consists of 2 factors that divide it completely without any remainder.

The prime number chart is a list of prime numbers starting from 2 to infinity.

The list of prime numbers under 1000 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, 101, 103, 107, 113, and so on.

1103 is not present in the list under 1000, but it is a prime number, as confirmed by the divisibility test.

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

Divisor: A number that divides another number exactly, without leaving a remainder. For example, divisors of 1103 are 1, 7, 11, 13, 77, 91, 143, and 1103.

Composite Number: A natural number greater than 1 that has more than two divisors. 1103 is a composite number because it has divisors other than 1 and itself, such as 7, 11, and 13.

Divisibility Test: A method used to determine whether a number can be divided by another without leaving a remainder. This method is used to check if a number is prime or composite by testing divisibility by smaller prime numbers.

Prime Factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1103 is 13 × 7 × 11. This represents 1103 as a product of prime numbers.