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141 LearnersLast updated on November 30th, 2024
Is 8 a Prime Number?
A prime number is the number which is said to have two factors, 1 and the number alone. However, 8 does not follow this condition. The number 8 has divisors more than 2.i.e., 1,2,4,8. We see the use of prime numbers everywhere, it's commonly used in medical fields.
Is 8 a Prime Number
A prime number should not have factors more than 2 but 8 has 4 divisors. No, 8 is a composite number.
- The divisors of 8 are 1,2,4,8.
Therefore, 8 is a composite number. Composite numbers are the numbers which have factors more than 2.
Why is 8 a Prime Number?
A number to be a prime number should follow the criteria, which is that it should not have factors more than 2. 8 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.
- Counting Divisors Method
- Divisibility Test
- Prime Number Chart
- Prime Factorization (For Non-Primes)
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 8 would simply be
- Divisors of 8=1,2,4,8
- Number of divisors=4
The number 8 can be considered composite.
Using the Divisibility Test Method
In divisibility method, the prime number only has 2 divisors, which are 1 and itself.
- Divisors of 8=1,2,4,8
As 8 has factors more than 2 then it is not a prime number.
Using Prime Number Chart
We write the prime number chart up to 10, which helps in sorting numbers.
The prime numbers from 1 to 10 are 1, 2, 3, 5, 7. 8 is not on the list, so it is not a prime number.
Using the Prime Factorization Method
This method is only used for a non-prime number/composite number. Since 8 is a composite number, prime factorization for 8 is :
- Factors of 8 = 2×2×2.
- Prime factor is 2.
Common Mistakes to Avoid When Determining if 75 is a Prime Number
FAQs: Is 8 a Prime Number?
1.Is 4 relatively prime to 6?
2. Is 48 a multiple of 8?
3.How many divisors does 8 have?
Important Glossaries for "Is 8 a Prime Number"
- Prime Factorization: Prime factorization is a process of writing all numbers as a product of the prime.
- 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.
Fun Fact
: She loves to read number jokes and games.
