Is 1126 a Prime Number?

There are two types of numbers, mostly —

Prime numbers and composite numbers, depending on the number of factors.

A prime number is a natural number that is divisible only by 1 and itself.

For example, 3 is a prime number because it is divisible by 1 and itself.

A composite number is a positive number that is divisible by more than two numbers.

For example, 6 is divisible by 1, 2, 3, and 6, making it a composite number.

Prime numbers follow a few properties like:
 

• Prime numbers are positive numbers always greater than 1.
   
• 2 is the only even prime number.
   
• They have only two factors: 1 and the number itself.
   
• Any two distinct prime numbers are co-prime numbers because they have only one common factor, which is 1.
   

As 1126 has more than two factors, it is not a prime number.

The characteristic of a prime number is that it has only two divisors: 1 and itself.
 

• Since 1126 has more than two factors, it is not a prime number.
   
• Several methods are used to distinguish between prime and composite numbers.
   

A few methods are:
 

• Counting Divisors Method
   
• Divisibility Test
   
• Prime Number Chart
   
• Prime Factorization
   

The method in which we count the number of divisors to categorize the numbers as prime or composite is called the counting divisors method.

Based on the count of the divisors, we categorize prime and composite numbers.
 

• If there is a total count of only 2 divisors, then the number would be prime.
   
• If the count is more than 2, then the number is composite.

Let’s check whether 1126 is prime or composite.

Step 1: All numbers are divisible by 1 and itself.

Step 2: Divide 1126 by 2. It is divisible by 2, so 2 is a factor of 1126.

Step 3: You can simplify checking divisors up to 1126 by finding the root value. We then need to only check divisors up to the root value. Since 1126 has more than 2 divisors, it is a composite number.

We use a set of rules to check whether a number is divisible by another number completely or not. It is called the Divisibility Test Method.

Divisibility by 2: The number in the ones' place value is 6, an even number, which means that 1126 is divisible by 2.

Divisibility by 3: The sum of the digits in the number 1126 is 10. Since 10 is not divisible by 3, 1126 is also not divisible by 3.

Divisibility by 5: The unit’s place digit is 6. Therefore, 1126 is not divisible by 5.

Divisibility by 7: Various tests or calculations can be applied, but 1126 is not divisible by 7.

Since 1126 is divisible by 2, it has more than two factors. Therefore, it is a composite number.

The prime number chart is a tool created by using a method called “The Sieve of Eratosthenes.”

In this method, we follow the following steps.

Step 1: Write 1 to 100 in 10 rows and 10 columns.

Step 2: Leave 1 without coloring or crossing, as it is neither prime nor composite.

Step 3: Mark 2 because it is a prime number and cross out all the multiples of 2.

Step 4: Mark 3 because it is a prime number and cross out all the multiples of 3.

Step 5: Repeat this process until you reach the table consisting of marked and crossed boxes, except 1.

Through this process, we will have a list of prime numbers from 1 to 100.

Since 1126 is greater than 100, we need to use other methods for larger numbers.

Prime factorization is a process of breaking down a number into prime factors.

Then multiply those factors to obtain the original number.

Step 1: We can write 1126 as 2 × 563.

Step 2: Check if 563 is a prime number.

Since 1126 can be expressed as 2 × 563, and 563 is a prime number, the prime factorization of 1126 confirms it is not a prime number itself.

• Composite numbers: Natural numbers greater than 1 that are divisible by more than 2 numbers are called composite numbers. For example, 1126 is a composite number because it is divisible by 1, 2, 563, and 1126.
   
• Divisibility rules: Guidelines that help determine if one number is divisible by another without performing the actual division.
   
• Prime factorization: Breaking down a number into its basic prime number factors.
   
• Prime numbers: Numbers greater than 1 with only two divisors, 1 and the number itself.
   
• Roots: A value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3.