Is 1184 a Prime Number?
2026-02-28 11:48 Diff
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Last updated on August 5, 2025

The numbers that have only two factors, which are 1 and themselves, are called prime numbers. For encryption, computer algorithms, barcode generation, prime numbers are used. In this topic, we will be discussing whether 1184 is a prime number or not.

Is 1184 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 that is 1.
     
  • As 1184 has more than two factors, it is not a prime number.

Why is 1184 Not a Prime Number?

The characteristic of a prime number is that it has only two divisors: 1 and itself. Since 1184 has more than two factors, it is not a prime number. Few methods are used to distinguish between prime and composite numbers. A few methods are:

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

Using the Counting Divisors Method

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 1184 is prime or composite.

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

Step 2: Divide 1184 by 2. It is divisible by 2, so 2 is a factor of 1184.

Step 3: Simplify checking divisors up to the square root of 1184. We then need to only check divisors up to the root value.

Since 1184 has more than 2 divisors, it is a composite number.

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Using the Divisibility Test Method

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 is 4, which is an even number, so 1184 is divisible by 2.

Divisibility by 3: The sum of the digits in the number 1184 is 14. Since 14 is not divisible by 3, 1184 is also not divisible by 3. 

Divisibility by 5: The unit’s place digit is 4, so 1184 is not divisible by 5.

Divisibility by 7: Various checks show that 1184 is not divisible by 7.

Divisibility by 11: Analyzing the alternating sum of digits shows that 1184 is not divisible by 11.

Since 1184 has factors other than 1 and itself, it is a composite number.

Using Prime Number Chart

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 numbers in a sequence, such as up to 1000.

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. 1184 is not present in the list of prime numbers, so it is a composite number.

Using the Prime Factorization Method

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 1184 as 2 × 592.

Step 2: Break down 592 as 2 × 296.

Step 3: Break down 296 as 2 × 148.

Step 4: Break down 148 as 2 × 74.

Step 5: Break down 74 as 2 × 37.

The prime factorization of 1184 is 2 × 2 × 2 × 2 × 2 × 37.

Common Mistakes to Avoid When Determining if 1184 is Not a Prime Number

Children might have some misconceptions about prime numbers when they are learning about them. Here are some mistakes that might be made by children.

FAQ on is 1184 a Prime Number?

1.Is 1184 a perfect square?

2.What is the sum of the divisors of 1184?

The sum of the divisors of 1184 is 2756.

3.What are the factors of 1184?

1184 is divisible by 1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, and 1184, making these numbers the factors.

4.What are the closest prime numbers to 1184?

1181 and 1187 are the closest prime numbers to 1184.

5.What is the prime factorization of 1184?

The prime factorization of 1184 is 2 × 2 × 2 × 2 × 2 × 37.

Important Glossaries for "Is 1184 a Prime Number"

  • Composite Numbers: Natural numbers greater than 1 that are divisible by more than 2 numbers. For example, 12 is a composite number because 12 is divisible by 1, 2, 3, 4, 6, and 12.
     
  • Prime Numbers: Natural numbers greater than 1 with exactly two distinct positive divisors: 1 and the number itself. For example, 7 is a prime number.
     
  • Factors: The numbers that exactly divide another number without leaving a remainder. For example, the factors of 6 are 1, 2, 3, and 6.
     
  • Divisibility Rules: A set of rules to determine if one number is divisible by another without performing division.
     
  • Prime Factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 30 is 2 × 3 × 5.

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.