Prime Factors of 39304

Steps to find Prime Factors of 39304 by Division Method

To find the primefactors of 39304 using the division method, follow these steps:

• Step 1. Start dividing 39304 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 39304, which is 2. Divide 39304 by 2 to obtain the quotient (19652).
  39304 ÷ 2 = 19652
• Step 3. Repeat step 1 with the obtained quotient (19652).
  19652 ÷ 2 = 9826
  9826 ÷ 2 = 4913
  4913 ÷ 17 = 289
  289 ÷ 17 = 17
  17 ÷ 17 = 1

So, the prime factorization of 39304 is, 39304 = 2 x 2 x 2 x 17 x 17 x 17.

Steps to find Prime Factors of 39304 by Factor Tree Method

We can follow the same procedure using the factor tree of 39304 as shown below:

So, the prime factorization of 39304 is, 39304 = 2 x 2 x 2 x 17 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 39304 are 2 x 2 x 2 x 17 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 39304 but not a prime factor of 39304.

Frequently Asked Questions

• Which is the smallest prime factor of 39304?

  Smallest prime factor of 39304 is 2.

• Is 39304 a perfect square?

  No 39304 is not a perfect square.

• What is the prime factorization of 39304?

  Prime factorization of 39304 is 2 x 2 x 2 x 17 x 17 x 17.

• What is prime factorization of 39304 in exponential form?

  Prime factorization of 39304 in exponential form is 2³ x 17³.

• Is 39304 a prime number or a composite number?

  39304 is a composite number.

• Which is the largest prime factors of 39304?

  The largest prime factor of 39304 is 17.

• What is the product of all prime factors of 39304?

  Prime factors of 39304 are 2 x 2 x 2 x 17 x 17 x 17. Therefore, their product is 39304.

• What numbers are the prime factors of 39304?

  Prime factors of 39304 are 2 , 2 , 2 , 17 , 17 , 17.

• Is there any even prime factor of 39304?

  Yes there is a even prime factor of 39304.