Is 1249 a prime number?

The number 1249 has multiple factors, which can divide the number completely without leaving any remainder. Thus, the number 1249 is a non-prime number. The factors of 1249 include 1, 11, 113, and 1249.

A number to be a prime number should follow the criteria that it should not have factors more than 2. Here, 1249 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 1249 would simply be:

Divisors of 1249 = 1, 11, 113, 1249
Number of divisors = 4

The number 1249 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 1249 are 1, 11, 113, and 1249.

Thus, 1249 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.

1249 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 1249 is a composite number, the prime factorization for 1249 is:

Factors of 1249 = 11 × 113.

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

Composite Number: A number greater than 1 that has more than two divisors. For example, 4, 6, and 9 are composite numbers.

Divisibility Test: A method used to determine if one number can be divided by another without leaving a remainder. If the division results in a whole number, the first number is divisible by the second.

Prime Factorization: The process of breaking down a composite number into a product of prime numbers. For example, the prime factorization of 12 is 2 × 2 × 3.

Divisors: The numbers that divide into a given number exactly, without leaving a remainder. For example, the divisors of 1249 are 1, 11, 113, and 1249.