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165 LearnersLast updated on December 2nd, 2024
Is 171 a prime number?
Do you get confused while checking if a number is prime? Determining a prime number is easy. They are used in encryptions. Here, this article checks if 171 is a prime.
Why is 171 not a prime number?
Since 171 has four factors, it is not a prime number. The basic methods used to check if a number is prime are the counting divisors method, divisibility method, prime number chart, and prime factorization.
Using the Counting Divisors Method
This method will tell the total number of divisors a number has.
The divisors of 171 = 1, 7, 23, 171
Therefore, 171 is not a prime number.
Using the Divisibility Test Method
If a number has more than two factors, it is composite. Here, the factors of 171 are 1, 7, 23, and 171.
Using Prime Number Chart
This method will check if a number is prime or not with the help of a prime number chart. Only if the number is seen in the chart, then it's a prime.
Using the Prime Factorization Method
This method expresses the product of prime factors in its exponential form.
The prime factorization of 171 is → 32 × 191
Hence, the prime factors of 171 are 3 and 19
Common Mistakes to Avoid When Determining if 171 is a Prime Number
FAQs for ‘Is 171 is a Prime Number’
1.What is the prime factor tree of 171?
2.What is 171 divisible by?
3.What are the multiples of 171?
4.What is the biggest prime factor of 171?
5.Does 171 come in 57 tables?
Glossaries for ‘Is 171 a Prime Number’
- Prime Number: A number with two positive numbers as its only factors
- Composite Number: A number with more than two positive numbers as factors
- Prime Factorization: Method of expressing the product of prime factors in exponential form.
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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.
