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138 LearnersLast updated on December 2nd, 2024
Is 137 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 137 is a prime.
Why is 137 a prime number?
Since 137 has two factors, it is 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 137 = 1, 137
Therefore, 137 is a prime number.
Using the Divisibility Test Method
If a number has two factors, it is prime. Here, the factors of 137 are 1 and 137
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 137 is → 1 × 1371
Hence, the prime factor of 137 is 137
Common Mistakes to Avoid When Determining if 137 is a Prime Number
FAQs for ‘Is 137 is a Prime Number’
1.What can be multiplied to get 137?
2.What prime number comes before 137?
3.Is 137 a perfect square?
4.What is the smallest prime factor of 137?
5. Why isn’t 137 a composite number?
Glossaries for ‘Is 137 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.
