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.

Frequently Asked Questions

  • 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.