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189 LearnersLast updated on December 1st, 2024
Is 34 a prime number?
Prime numbers have often fascinated mathematicians. Especially because of their no order or pattern for appearance at random. Even when we don’t understand their emergence in the list of numbers, we apply them in medicine, computer algorithms, cryptography, and others.
Is 34 a prime number?
How do we find whether a number is prime or not? Let us check out the various methods to learn when we have to check if a number is a prime number.
Why is 34 not a Prime Number?
These different methods we can use to check if a number is a prime number are explained below;
Using the Counting Divisors Method
The counting divisors method for 34 would simply be
- Divisors of 34= 1,2,3,17,34
- Number of divisors= 5
The number 34 can be considered composite.
Using the Divisibility Test Method
In the divisibility method, the prime number only has 2 divisors, which are 1 and itself.
- Divisors of 34= 1,2,3,17,34
As 34 has factors more than 2 then it is not a prime number.
Using Prime Number Chart
The list of prime numbers under 100 are;
2,3,5,7,11,13,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97.
34 is not present in the list, it is not a prime number.
Using the Prime Factorization Method
This method is only used for a non-prime number/composite number. Since 34 is a composite number, prime factorization for 34 is :
- Factors of 34 = 2×17
Common Mistakes to Avoid When Determining if 34 is a Prime Number
FAQs: Is 34 a Prime Number?
1. Which is a prime number that is divisible by 34?
2.Can 17 go in 34?
3.Is 9 divisible by 3?
4.Is 34 divisible by 4?
5.What is the GCF of 11 and 13?
Important Glossaries for "Is 34 a Prime Number"
- Prime numbers — numbers with factors that are 1 and the number alone. For example 1,3,5,7,11.
- Composite numbers — numbers with more than 2 factors in them. For example 4,6,8 etc
- Divisibility Method — In the 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.
