# Prime Factors of 789

Prime Factors of 789 are 3 and 263

#### How to find prime factors of a number

 1.   Prime Factorization of 789 by Division Method 2.   Prime Factorization of 789 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 789 by Division Method

To find the primefactors of 789 using the division method, follow these steps:

• Step 1. Start dividing 789 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 789, which is 3. Divide 789 by 3 to obtain the quotient (263).
789 ÷ 3 = 263
• Step 3. Repeat step 1 with the obtained quotient (263).
263 ÷ 263 = 1

So, the prime factorization of 789 is, 789 = 3 x 263.

#### Steps to find Prime Factors of 789 by Factor Tree Method

We can follow the same procedure using the factor tree of 789 as shown below:

So, the prime factorization of 789 is, 789 = 3 x 263.

#### 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 789 are 3 x 263.

#### 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 789 but not a prime factor of 789.

• Which is the smallest prime factor of 789?

Smallest prime factor of 789 is 3.

• Is 789 a perfect square?

No 789 is not a perfect square.

• What is the prime factorization of 789?

Prime factorization of 789 is 3 x 263.

• What are the factors of 789?

Factors of 789 are 1 , 3 , 263 , 789.

• What is prime factorization of 789 in exponential form?

Prime factorization of 789 in exponential form is 3 x 263.

• Is 789 a prime number or a composite number?

789 is a composite number.

• Is 789 a prime number?

false, 789 is not a prime number.

• How to find prime factorization of 789 easily?

To find prime factorization of 789 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 789?

The largest prime factor of 789 is 263.