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Last updated on November 30th, 2024

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Is 2 a prime number?

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For this question, where the answer is yes. Since the number two is an even number, many believe that 2 is not a prime number. But, 2 is a very special number! We will learn more about Prime numbers and check whether 2 is a prime number or not. (Computer use the base-2 system(binary) to represent data – zero and one are the only digits.

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Is 2 a Prime Number?

Yes, 2 is a prime number. Where a prime number is a number that can only be divided by itself and one without holding remainders. The factors of 2 are 1 and 2. 

 

Since there are only two factors of 2, it shows that 2 is a prime number.

 

is 2 a prime number
 

Professor Greenline from BrightChamps

Why is 2 a prime number?

Because the number 2 holds only two different divisors, as it meets the condition of having any other factors except 1 and itself.

 

Listed below are the methods by which we can devise if a particular number is prime or not;

 

 

  • Counting Divisors Method

 

  • Divisibility Test

 

  • Prime Number Chart

 

  • Prime Factorization Method
     
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Using the Counting Divisors Method

The only condition, this method involves is that a particular number is prime if and only if it has two distinct integers as its divisors.


In the case of 2, the only two distinct divisors are: 1 and 2


Hence, 2 is prime.
 

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Using the Divisibility Test Method

The divisibility rule of 2 helps us find whether a number is a multiple of 2 or not without performing the actual division.
The divisibility rule of 2 states that if the last digit of a number is divisible by 2 that is, the last digit is 0, 2, 4, 6, or 8, then the number is also divisible by 2.
 

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Using Prime Number Chart

The list of prime numbers up to 10 is — 2,3,5,7,


Following the above chart for reference, we can ascertain that 2 is a prime number.
 

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Using the Prime Factorization Method

Composite numbers can be broken down using prime factorization, however, 2 has no factors but 1 and itself, therefore it cannot be factored into smaller prime numbers.
 

Max Pointing Out Common Math Mistakes

Common Mistakes to Avoid When Determining 2 is a Prime Number

Ray Thinking Deeply About Math Problems

FAQs: Is 2 a Prime Number?

1.Is 2 a twin prime?

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2.Does 2 have two factors?

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3.Is 12 a composite number?

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4.Is 17 a prime number?

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5.Is 103 a prime number?

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Professor Greenline from BrightChamps

Important glossaries for “Is 13 a prime number?”

  • Prime Factorization:  It is a way of expressing a number as a product of its prime factors. 

 

  • Composite numbers: Composite numbers are numbers with multiples that are not just 1 and the number itself.

 

  • Twin prime numbers: Twin primes are those prime number pairs that have a difference of 2. 
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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

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: She loves to read number jokes and games.

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