# Prime Factors of 804

Prime Factors of 804 are 2, 2, 3, and 67

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

 1.   Prime Factorization of 804 by Division Method 2.   Prime Factorization of 804 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 804 by Division Method

To find the primefactors of 804 using the division method, follow these steps:

• Step 1. Start dividing 804 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 804, which is 2. Divide 804 by 2 to obtain the quotient (402).
804 ÷ 2 = 402
• Step 3. Repeat step 1 with the obtained quotient (402).
402 ÷ 2 = 201
201 ÷ 3 = 67
67 ÷ 67 = 1

So, the prime factorization of 804 is, 804 = 2 x 2 x 3 x 67.

#### Steps to find Prime Factors of 804 by Factor Tree Method

We can follow the same procedure using the factor tree of 804 as shown below:

So, the prime factorization of 804 is, 804 = 2 x 2 x 3 x 67.

#### 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 804 are 2 x 2 x 3 x 67.

#### Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 804 but not a prime factor of 804.

• Which is the smallest prime factor of 804?

Smallest prime factor of 804 is 2.

• What is the prime factorization of 804?

Prime factorization of 804 is 2 x 2 x 3 x 67.

• What are the factors of 804?

Factors of 804 are 1 , 2 , 3 , 4 , 6 , 12 , 67 , 134 , 201 , 268 , 402 , 804.

• Is 804 a prime number or a composite number?

804 is a composite number.

• Is 804 a prime number?

false, 804 is not a prime number.

• Which is the largest prime factors of 804?

The largest prime factor of 804 is 67.

• What is the sum of all prime factors of 804?

Prime factors of 804 are 2 x 2 x 3 x 67. Therefore, their sum is 74.

• What numbers are the prime factors of 804?

Prime factors of 804 are 2 , 2 , 3 , 67.

• What is the sum of all odd prime factors of 804?

Prime factors of 804 are 2 , 2 , 3 , 67, out of which 3 , 67 are odd numbers. So, the sum of odd prime factors of 804 is 3 + 67 = 70.