Prime Factors of 9504

Steps to find Prime Factors of 9504 by Division Method

To find the primefactors of 9504 using the division method, follow these steps:

• Step 1. Start dividing 9504 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 9504, which is 2. Divide 9504 by 2 to obtain the quotient (4752).
  9504 ÷ 2 = 4752
• Step 3. Repeat step 1 with the obtained quotient (4752).
  4752 ÷ 2 = 2376
  2376 ÷ 2 = 1188
  1188 ÷ 2 = 594
  594 ÷ 2 = 297
  297 ÷ 3 = 99
  99 ÷ 3 = 33
  33 ÷ 3 = 11
  11 ÷ 11 = 1

So, the prime factorization of 9504 is, 9504 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11.

Steps to find Prime Factors of 9504 by Factor Tree Method

We can follow the same procedure using the factor tree of 9504 as shown below:

So, the prime factorization of 9504 is, 9504 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11.

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 9504 are 2 x 2 x 2 x 2 x 2 x 3 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 9504 but not a prime factor of 9504.

Frequently Asked Questions

• Which is the smallest prime factor of 9504?

  Smallest prime factor of 9504 is 2.

• Is 9504 a perfect square?

  No 9504 is not a perfect square.

• What is the prime factorization of 9504?

  Prime factorization of 9504 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11.

• What is prime factorization of 9504 in exponential form?

  Prime factorization of 9504 in exponential form is 2⁵ x 3³ x 11.

• Is 9504 a prime number or a composite number?

  9504 is a composite number.

• Which is the largest prime factors of 9504?

  The largest prime factor of 9504 is 11.

• What is the product of all prime factors of 9504?

  Prime factors of 9504 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11. Therefore, their product is 9504.

• What numbers are the prime factors of 9504?

  Prime factors of 9504 are 2 , 2 , 2 , 2 , 2 , 3 , 3 , 3 , 11.

• Is there any even prime factor of 9504?

  Yes there is a even prime factor of 9504.