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Last updated on November 30th, 2024

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Is 12 a prime number?

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A prime number is said to have two divisors, 1 and the number alone. However, 12 does not follow the criteria. The number 12 has divisors more than 2.i.e., 1,2,3,4,6,12. You must know that in commercial use 12 items make a dozen.

Professor Greenline from BrightChamps

Is 12 a prime number?

No, 12 is a composite number. A prime number should not have divisors more than 2 but 12 has 6 divisors.


The divisors of 12 are 1,2,3,4,6,12.  Therefore, 12 is a composite number. Composite numbers are the numbers which has factors more than 2.

 

is 12 a prime number
 

Professor Greenline from BrightChamps

Why is 12 a prime number?

A number to be a prime number it should follow the criteria which is that it should not have factors more than 2. 12 has factors more than 2 so it is a composite number.
Given below are a few ways that can be used to find prime or composite numbers.
 

Professor Greenline from BrightChamps

Using the Counting Divisors Method

In this method, the divisors of a number are listed, and the number is checked, to be called a prime number. The counting divisors method for 12 would simply be

 

 

  • Divisors of 12=1,2,3,4,6,12

 

  • Number of divisors=6

 

The number 12 can be considered composite.
 

Professor Greenline from BrightChamps

Using the Divisibility Test Method

In divisibility method, the prime number only has 2 divisors, which are 1 and itself.

 

  • Divisors of 12=1,2,3,4,6,12


As 12 has factors more than 2 then it is not a prime number. 
 

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Using Prime Number Chart

We write the prime number chart up to 10, which helps in sorting numbers.


The prime numbers from 1 to 12 are 1, 2, 3, 5, 7, 11. 12 is not on the list, so it is not a prime number
 

Professor Greenline from BrightChamps

Using the Prime Factorization Method

This method is only used for a non-prime number/composite number. Since 12 is a composite number, prime factorization for 12 is :

 

 

 

  • Factors of 12 = 2×2×3.

 

  • Prime factors are 2 and 3.
     
Max Pointing Out Common Math Mistakes

Common mistakes to avoid when determining if 12 is a prime number

Ray Thinking Deeply About Math Problems

FAQs: Is [Topic] a Prime Number?

1.Are 12 and 18 prime numbers?

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2.Is 71 a composite number?

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3.Is 8 a prime number?

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4.Is 4 a prime number?

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Professor Greenline from BrightChamps

Important Glossaries for "Is 12 a Prime Number"

  • Composite Number: A number that has divisors more than 2.

 

  • Divisibility Method: In divisibility method, the prime number only has 2 divisors, which are 1 and itself.
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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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