# Prime Factors of 9604

Prime Factors of 9604 are 2, 2, 7, 7, 7, and 7

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

 1.   Prime Factorization of 9604 by Division Method 2.   Prime Factorization of 9604 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 9604 by Division Method

To find the primefactors of 9604 using the division method, follow these steps:

• Step 1. Start dividing 9604 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 9604, which is 2. Divide 9604 by 2 to obtain the quotient (4802).
9604 ÷ 2 = 4802
• Step 3. Repeat step 1 with the obtained quotient (4802).
4802 ÷ 2 = 2401
2401 ÷ 7 = 343
343 ÷ 7 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1

So, the prime factorization of 9604 is, 9604 = 2 x 2 x 7 x 7 x 7 x 7.

#### Steps to find Prime Factors of 9604 by Factor Tree Method

We can follow the same procedure using the factor tree of 9604 as shown below:

So, the prime factorization of 9604 is, 9604 = 2 x 2 x 7 x 7 x 7 x 7.

#### 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 9604 are 2 x 2 x 7 x 7 x 7 x 7.

#### 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 9604 but not a prime factor of 9604.

• Which is the smallest prime factor of 9604?

Smallest prime factor of 9604 is 2.

• What is the prime factorization of 9604?

Prime factorization of 9604 is 2 x 2 x 7 x 7 x 7 x 7.

• What are the factors of 9604?

Factors of 9604 are 1 , 2 , 4 , 7 , 14 , 28 , 49 , 98 , 196 , 343 , 686 , 1372 , 2401 , 4802 , 9604.

• Is 9604 a prime number or a composite number?

9604 is a composite number.

• Is 9604 a prime number?

false, 9604 is not a prime number.

• Which is the largest prime factors of 9604?

The largest prime factor of 9604 is 7.

• What is the sum of all prime factors of 9604?

Prime factors of 9604 are 2 x 2 x 7 x 7 x 7 x 7. Therefore, their sum is 32.

• What numbers are the prime factors of 9604?

Prime factors of 9604 are 2 , 2 , 7 , 7 , 7 , 7.

• What is the sum of all odd prime factors of 9604?

Prime factors of 9604 are 2 , 2 , 7 , 7 , 7 , 7, out of which 7 , 7 , 7 , 7 are odd numbers. So, the sum of odd prime factors of 9604 is 7 + 7 + 7 + 7 = 28.