# Prime Factors of 396

Prime Factors of 396 are 2, 2, 3, 3, and 11

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

 1.   Prime Factorization of 396 by Division Method 2.   Prime Factorization of 396 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 396 by Division Method

To find the primefactors of 396 using the division method, follow these steps:

• Step 1. Start dividing 396 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 396, which is 2. Divide 396 by 2 to obtain the quotient (198).
396 ÷ 2 = 198
• Step 3. Repeat step 1 with the obtained quotient (198).
198 ÷ 2 = 99
99 ÷ 3 = 33
33 ÷ 3 = 11
11 ÷ 11 = 1

So, the prime factorization of 396 is, 396 = 2 x 2 x 3 x 3 x 11.

#### Steps to find Prime Factors of 396 by Factor Tree Method

We can follow the same procedure using the factor tree of 396 as shown below:

So, the prime factorization of 396 is, 396 = 2 x 2 x 3 x 3 x 11.

#### Introduction to Prime Factors?

In mathematics, prime numbers are defined as all those natural numbers greater than 1 that has only two divisors one being number 1 and the other being the number itself. When we express any number as the products of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 396 are 2 x 2 x 3 x 3 x 11.

#### 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 396 but not a prime factor of 396.

• Which is the smallest prime factor of 396?

Smallest prime factor of 396 is 2.

• What is the prime factorization of 396?

Prime factorization of 396 is 2 x 2 x 3 x 3 x 11.

• What are the factors of 396?

Factors of 396 are 1 , 2 , 3 , 4 , 6 , 9 , 11 , 12 , 18 , 22 , 33 , 36 , 44 , 66 , 99 , 132 , 198 , 396.

• Is 396 a prime number or a composite number?

396 is a composite number.

• Is 396 a prime number?

false, 396 is not a prime number.

• Which is the largest prime factors of 396?

The largest prime factor of 396 is 11.

• What is the sum of all prime factors of 396?

Prime factors of 396 are 2 x 2 x 3 x 3 x 11. Therefore, their sum is 21.

• What numbers are the prime factors of 396?

Prime factors of 396 are 2 , 2 , 3 , 3 , 11.

• What is the sum of all odd prime factors of 396?

Prime factors of 396 are 2 , 2 , 3 , 3 , 11, out of which 3 , 3 , 11 are odd numbers. So, the sum of odd prime factors of 396 is 3 + 3 + 11 = 17.