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Last updated on November 30th, 2024

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Is 10 a Prime Number?

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All real numbers are classified as prime and composite numbers. The prime number is a number which has no factors other than 1 and itself. Patterns of such numbers are used to create music patterns, to design computer algorithms, and so on.

Professor Greenline from BrightChamps

Is 10 a prime number?

10 is a prime number and on the prime factorization of 10, we get only 1 and 10 as the factor of 10. And, also it contains exactly two factors, which are 1 and 10, where it is known as the prime number.

 

is 10 a prime number
 

Professor Greenline from BrightChamps

Why is 10 a prime number?

If a number to be prime, it has to meet the following criteria.


The number must hold only 2 divisors when divided.


The factors should be number 1 and itself only.


Listed below are some methods to find out whether a particular number is prime or composite?
 

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Using the Counting Divisors Method

In the counting divisors method, list the divisors of the given number and check if the number, to be considered prime, satisfies the two criteria.


The counting divisors method for 10 would simply be

 

Divisors of 10=1, 2, 5, 10.


Number of divisors=4


The number of 10, hence, can be considered composite.
 

Professor Greenline from BrightChamps

Using the Divisibility Test Method

In the divisibility method, the prime number only has 2 divisors which are 1 and itself. There is no specific divisibility check for the number 10 other than checking if it is divisible by 1 and 10.

 

 

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Using Prime Number Chart

List the prime number chart up to 15.

 

The prime numbers from 1 to 15 are 1, 2, 3, 5, 7, 11, 13. By keeping a note of the chart like above, we can easily determine if a number is prime or not.
 

Professor Greenline from BrightChamps

Using the Prime Factorization Method

Prime factorization is only applicable to non-prime numbers/composite numbers, Since 10 has more than two factors 1,2, 5, 10 it can be factored into smaller prime numbers.
 

Max Pointing Out Common Math Mistakes

Common mistakes to avoid while determining “Is 10 is a prime number”

Ray Thinking Deeply About Math Problems

FAQs: Is 10 a Prime Number?

1.Is 10 a prime or composite number?

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2.Is 10 or 11 a prime number?

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3.Prime numbers between 1 and 100?

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4.Is 1 and 10 prime?

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Professor Greenline from BrightChamps

Important Glossaries for "Is 10 a Prime Number"

  • Prime Number: A number which has only two divisors, that to be 1 and the other is the number itself.

 

  • Composite Number: In mathematics, composite numbers are numbers that should have more than two factors, which is 1 and itself.

 

  • Prime Factorization: In simple terms, prime factorization is a process of writing all numbers as a product of prime.
     
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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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