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Last updated on December 5th, 2024

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Is 17 a prime number?

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Prime numbers are numbers with 1 and the number itself as its factor, which helps in simplifying arithmetic problems. This article will let us learn how to check for a prime number.

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Is 17 a Prime Number

Numbers can be of two types, prime and composite. For the numbers to be identified as prime, it should have two factors. Number 17 only has two factors which are 1 and 17, making it a prime.
 

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Why is 17 a prime number?

For a number to be identified as prime, it should satisfy the following two requirements:
A number is a factor of only 2 numbers


A number should have only two divisors, 1 and the number itself.


If the given numbers satisfy the above-mentioned conditions, then it falls into the category of prime numbers.

 

The methods to see if a number is prime or not are:

 

  • Counting Divisors Method

 

  • Divisibility Test Method

 

  • Prime Number Chart

 

  • Prime Factorization 
     
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Using the Counting Divisors Method

 The divisors of the given number will be listed to check if it meets the conditions of a prime number.


Factors of 17= 1, 17


17 has only two factors, it is a prime 
 

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Using the Divisibility Test Method

Divisibility Method


In this method, the total number of divisors is counted to see if a number is prime.


Divisors of 17 = 1 and 17


Number of divisors = 2
 

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Using Prime Number Chart

The list of prime numbers up to 20 are 1, 2, 3, 5, 7, 11, 13, 17 and 19. 


From this, we can say that 17 is a prime number.
 

 

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Prime Factorization

In this method, we break a number into its prime factors. In the case of 17, it cannot be factored into any prime numbers. Therefore, we conclude that 17 is a prime number
 

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Common mistakes to avoid when determining if 17 is a prime number

Ray Thinking Deeply About Math Problems

FAQs : Is 17 a prime number?

1.What is a factor of 17?

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2.Are 17 and 23 prime numbers?

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3.Is 17 divisible?

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4.Is 51 divisible by 17?

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5.Are twin prime numbers infinite?

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Important Glossaries for “Is 17 a prime number?”

  • Quotient: Number we get when one number is divided by another.

 

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

 

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

 

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