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Last updated on April 30th, 2025

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Is 1043 a Prime Number?

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Intermediate
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The numbers that have only two factors, which are 1 and itself, are called prime numbers. For encryption, computer algorithms, barcode generation, prime numbers are used. In this topic, we will be discussing whether 1043 is a prime number or not.

Professor Greenline from BrightChamps

Is 1043 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 1043 has only two factors, it is a prime number.
    is 1043 a prime number
Professor Greenline from BrightChamps

Why is 1043 a Prime Number?

The characteristic of a prime number is that it has only two divisors: 1 and itself. Since 1043 has exactly two factors, it is 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
Professor Greenline from BrightChamps

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 1043 is prime or composite:

 

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

 

Step 2: Divide 1043 by numbers up to its square root (approximately 32.3) to check for any other divisors.

 

Since 1043 is not divisible by any number other than 1 and itself, it is a prime number.

Professor Greenline from BrightChamps

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: 1043 is an odd number, so it is not divisible by 2.

 

Divisibility by 3: The sum of the digits in the number 1043 is 8. Since 8 is not divisible by 3, 1043 is also not divisible by 3.

 

Divisibility by 5: The unit’s place digit is 3. Therefore, 1043 is not divisible by 5.

 

Divisibility by 7, 11, and other primes up to its square root: Testing divisibility by these will show no division without a remainder.

 

Since 1043 is not divisible by any of these numbers, it has no divisors other than 1 and itself, confirming it is a prime number.

Professor Greenline from BrightChamps

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 manageable range.

 

Step 2: Leave 1 without marking, as it is neither prime nor composite.

 

Step 3: Mark primes and cross out their multiples up to the number of interest (in this case, 1043). Through this process, we identify prime numbers up to 1043.

 

Since 1043 is not crossed out, it is a prime number.

Professor Greenline from BrightChamps

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: Attempt to divide 1043 by prime numbers starting from 2 up to its square root.

 

Step 2: Since 1043 is not divisible by any primes other than itself, the prime factorization of 1043 is 1043.

Max Pointing Out Common Math Mistakes

Common Mistakes to Avoid When Determining if 1043 is a Prime Number

Ray Thinking Deeply About Math Problems

FAQ on Is 1043 a Prime Number?

1.Is 1043 a perfect square?

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2.What is the sum of the divisors of 1043?

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3.What are the factors of 1043?

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4.What are the closest prime numbers to 1043?

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5.What is the prime factorization of 1043?

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Professor Greenline from BrightChamps

Important Glossaries for "Is 1043 a Prime Number"

  • Prime numbers: Natural numbers greater than 1 that have no divisors other than 1 and themselves. For example, 1043.
     
  • Composite numbers: Natural numbers greater than 1 that have more than 2 divisors. For example, 12.
     
  • Divisibility: A number is divisible by another if it can be divided exactly without leaving a remainder. For example, 6 is divisible by 3.
     
  • Factors: Numbers that divide another number exactly without leaving a remainder are called factors. For example, the factors of 1043 are 1 and 1043.
     
  • Sieve of Eratosthenes: An ancient algorithm to find all prime numbers up to any given limit.
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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.

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Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

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