Prime Factors of 1989

Steps to find Prime Factors of 1989 by Division Method

To find the primefactors of 1989 using the division method, follow these steps:

• Step 1. Start dividing 1989 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 1989, which is 3. Divide 1989 by 3 to obtain the quotient (663).
  1989 ÷ 3 = 663
• Step 3. Repeat step 1 with the obtained quotient (663).
  663 ÷ 3 = 221
  221 ÷ 13 = 17
  17 ÷ 17 = 1

So, the prime factorization of 1989 is, 1989 = 3 x 3 x 13 x 17.

Steps to find Prime Factors of 1989 by Factor Tree Method

We can follow the same procedure using the factor tree of 1989 as shown below:

So, the prime factorization of 1989 is, 1989 = 3 x 3 x 13 x 17.

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 1989 are 3 x 3 x 13 x 17.

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 1989 but not a prime factor of 1989.

Frequently Asked Questions

• Which is the smallest prime factor of 1989?

  Smallest prime factor of 1989 is 3.

• Is 1989 a perfect square?

  No 1989 is not a perfect square.

• What is the prime factorization of 1989?

  Prime factorization of 1989 is 3 x 3 x 13 x 17.

• What are the factors of 1989?

  Factors of 1989 are 1 , 3 , 9 , 13 , 17 , 39 , 51 , 117 , 153 , 221 , 663 , 1989.

• What is prime factorization of 1989 in exponential form?

  Prime factorization of 1989 in exponential form is 3² x 13 x 17.

• Is 1989 a prime number or a composite number?

  1989 is a composite number.

• Is 1989 a prime number?

  false, 1989 is not a prime number.

• How to find prime factorization of 1989 easily?

  To find prime factorization of 1989 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 1989?

  The largest prime factor of 1989 is 17.