Is 189 a Prime Number?
2026-02-28 12:56 Diff
https://brightchamps.com/en-us/math/numbers/is-189-a-prime-number

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Last updated on August 5, 2025

Do you feel like checking for prime numbers can be tricky? Determining a prime number is easy. Prime numbers are used in encryption. Here, we discuss the topic called ‘Is 189 a prime number?’.

Why is 189 not a Prime Number?

Since 189 has 8 factors, it is not a prime number. The basic methods 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 find the total number of divisors of the given number.  If there are more than two divisors, then the given number is composite, not prime.


The divisors of 189 = 1, 3, 7, 9, 21, 27, 63, 189


Therefore, 189 is not prime.
 

Using the Divisibility Test Method

The divisibility method determines whether a number is composite or not. Make use of the divisibility rule of 2 (if the number is even), the divisibility rule of 3 (if the sum of digits is a multiple of 3), and so on.  

The number 189 uses the divisibility rule of 3. Hence, factors of 189 are 1, 3, 7, 9, 21, 27, 63, and 189.
 

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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

Prime Factorization expresses the product of prime factors of composite numbers in exponential form. The prime factors of 189 are 5 and 23. 


The prime factorization of 189 → 33 × 71


Hence, the prime factors of 189 are 3 and 7
 

Common Mistakes to Avoid When Determining if 189 is a Prime Number

You might feel that it’s a bit tricky to check for prime numbers. There’s no need to get worried about this. Here, we will discuss the mistakes that can happen and the solutions to tackle them.
 

FAQs for ‘Is 189 a Prime Number’

1.What are the nearest perfect squares to 189?

The perfect squares near 189 are 169 and 196. The root of 169 and 196 are 13 and 14

2.Why is ‘0’ not prime?

3.Is 189 prime?

No, 189 is not prime because it has 8 factors in total. Numbers with two factors are prime, for example, numbers like 2, 3, 5, 7, and so on.
 

4. What are the prime factors of 189?

The prime factors of 189 are 3 and 7. These numbers have only two factors. The prime numbers are the prime factors themselves.
 

5.Is 189 divisible by 2?

189 is not completely divisible by 2 because the quotient will be a decimal. Only numbers ending 2 get completely divided by 2.
 

Glossaries for ‘Is 189 a Prime Number’

  • Prime Number: Natural number with two factors. For example, numbers like 2, 11, 101, etc.
  • Composite Number: Numbers with more than two factors. For example, numbers like 69, 120, 169, and so on.
  • Prime Factorization: Method to express the product of prime factors using exponents.

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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.