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163 LearnersLast updated on December 2nd, 2024
Is 289 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 289 is a prime.
Why is 289 not a prime number?
Since 289 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 289 = 1, 17, 289
Therefore, 289 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 289 are 1, 7, 23, and 289.
Prime Number Chart Method
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.
Prime Factorization Method
This method expresses the product of prime factors in its exponential form.
The prime factorization of 289 is → 1 × 172
Hence, the prime factor of 289 is 17
Common Mistakes to Avoid When Determining if 289 is a Prime Number
FAQs for ‘Is 289 is a Prime Number’
1.What is 289 divisible by?
2.What is the prime factorization of 289?
3.What are the multiples of 289?
4.The perfect square before the prime number 283 is?
5.Does 289 come in 17 tables?
Important Glossaries for "Is 289 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.
