# Prime Factors of 10404

Prime Factors of 10404 are 2, 2, 3, 3, 17, and 17

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

 1.   Prime Factorization of 10404 by Division Method 2.   Prime Factorization of 10404 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 10404 by Division Method

To find the primefactors of 10404 using the division method, follow these steps:

• Step 1. Start dividing 10404 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 10404, which is 2. Divide 10404 by 2 to obtain the quotient (5202).
10404 ÷ 2 = 5202
• Step 3. Repeat step 1 with the obtained quotient (5202).
5202 ÷ 2 = 2601
2601 ÷ 3 = 867
867 ÷ 3 = 289
289 ÷ 17 = 17
17 ÷ 17 = 1

So, the prime factorization of 10404 is, 10404 = 2 x 2 x 3 x 3 x 17 x 17.

#### Steps to find Prime Factors of 10404 by Factor Tree Method

We can follow the same procedure using the factor tree of 10404 as shown below:

So, the prime factorization of 10404 is, 10404 = 2 x 2 x 3 x 3 x 17 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 10404 are 2 x 2 x 3 x 3 x 17 x 17.

#### 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 10404 but not a prime factor of 10404.

• Which is the smallest prime factor of 10404?

Smallest prime factor of 10404 is 2.

• What is the prime factorization of 10404?

Prime factorization of 10404 is 2 x 2 x 3 x 3 x 17 x 17.

• What are the factors of 10404?

Factors of 10404 are 1 , 2 , 3 , 4 , 6 , 9 , 12 , 17 , 18 , 34 , 36 , 51 , 68 , 102 , 153 , 204 , 289 , 306 , 578 , 612 , 867 , 1156 , 1734 , 2601 , 3468 , 5202 , 10404.

• Is 10404 a prime number or a composite number?

10404 is a composite number.

• Is 10404 a prime number?

false, 10404 is not a prime number.

• Which is the largest prime factors of 10404?

The largest prime factor of 10404 is 17.

• What is the sum of all prime factors of 10404?

Prime factors of 10404 are 2 x 2 x 3 x 3 x 17 x 17. Therefore, their sum is 44.

• What numbers are the prime factors of 10404?

Prime factors of 10404 are 2 , 2 , 3 , 3 , 17 , 17.

• What is the sum of all odd prime factors of 10404?

Prime factors of 10404 are 2 , 2 , 3 , 3 , 17 , 17, out of which 3 , 3 , 17 , 17 are odd numbers. So, the sum of odd prime factors of 10404 is 3 + 3 + 17 + 17 = 40.