Prime Factors of 189

Steps to find Prime Factors of 189 by Division Method

To find the primefactors of 189 using the division method, follow these steps:

• Step 1. Start dividing 189 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 189, which is 3. Divide 189 by 3 to obtain the quotient (63).
  189 ÷ 3 = 63
• Step 3. Repeat step 1 with the obtained quotient (63).
  63 ÷ 3 = 21
  21 ÷ 3 = 7
  7 ÷ 7 = 1

So, the prime factorization of 189 is, 189 = 3 x 3 x 3 x 7.

Steps to find Prime Factors of 189 by Factor Tree Method

We can follow the same procedure using the factor tree of 189 as shown below:

So, the prime factorization of 189 is, 189 = 3 x 3 x 3 x 7.

What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 1 and the number itself. When we express any number as the product of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 189 are 3 x 3 x 3 x 7.

Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 2 is the only even prime factor any number can have.
• Two prime factors are always coprime to each other.
• 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 189 but not a prime factor of 189.

Frequently Asked Questions

• Which is the smallest prime factor of 189?

  Smallest prime factor of 189 is 3.

• Is 189 a perfect square?

  No 189 is not a perfect square.

• What is the prime factorization of 189?

  Prime factorization of 189 is 3 x 3 x 3 x 7.

• What are the factors of 189?

  Factors of 189 are 1 , 3 , 7 , 9 , 21 , 27 , 63 , 189.

• What is prime factorization of 189 in exponential form?

  Prime factorization of 189 in exponential form is 3³ x 7.

• Is 189 a prime number or a composite number?

  189 is a composite number.

• Is 189 a prime number?

  false, 189 is not a prime number.

• How to find prime factorization of 189 easily?

  To find prime factorization of 189 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 189?

  The largest prime factor of 189 is 7.