Prime Factors of 39204

Steps to find Prime Factors of 39204 by Division Method

To find the primefactors of 39204 using the division method, follow these steps:

• Step 1. Start dividing 39204 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 39204, which is 2. Divide 39204 by 2 to obtain the quotient (19602).
  39204 ÷ 2 = 19602
• Step 3. Repeat step 1 with the obtained quotient (19602).
  19602 ÷ 2 = 9801
  9801 ÷ 3 = 3267
  3267 ÷ 3 = 1089
  1089 ÷ 3 = 363
  363 ÷ 3 = 121
  121 ÷ 11 = 11
  11 ÷ 11 = 1

So, the prime factorization of 39204 is, 39204 = 2 x 2 x 3 x 3 x 3 x 3 x 11 x 11.

Steps to find Prime Factors of 39204 by Factor Tree Method

We can follow the same procedure using the factor tree of 39204 as shown below:

So, the prime factorization of 39204 is, 39204 = 2 x 2 x 3 x 3 x 3 x 3 x 11 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 39204 are 2 x 2 x 3 x 3 x 3 x 3 x 11 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 39204 but not a prime factor of 39204.

Frequently Asked Questions

• Which is the smallest prime factor of 39204?

  Smallest prime factor of 39204 is 2.

• What is the prime factorization of 39204?

  Prime factorization of 39204 is 2 x 2 x 3 x 3 x 3 x 3 x 11 x 11.

• What are the factors of 39204?

  Factors of 39204 are 1 , 2 , 3 , 4 , 6 , 9 , 11 , 12 , 18 , 22 , 27 , 33 , 36 , 44 , 54 , 66 , 81 , 99 , 108 , 121 , 132 , 162 , 198 , 242 , 297 , 324 , 363 , 396 , 484 , 594 , 726 , 891 , 1089 , 1188 , 1452 , 1782 , 2178 , 3267 , 3564 , 4356 , 6534 , 9801 , 13068 , 19602 , 39204.

• Is 39204 a prime number or a composite number?

  39204 is a composite number.

• Is 39204 a prime number?

  false, 39204 is not a prime number.

• Which is the largest prime factors of 39204?

  The largest prime factor of 39204 is 11.

• What is the sum of all prime factors of 39204?

  Prime factors of 39204 are 2 x 2 x 3 x 3 x 3 x 3 x 11 x 11. Therefore, their sum is 38.

• What numbers are the prime factors of 39204?

  Prime factors of 39204 are 2 , 2 , 3 , 3 , 3 , 3 , 11 , 11.

• What is the sum of all odd prime factors of 39204?

  Prime factors of 39204 are 2 , 2 , 3 , 3 , 3 , 3 , 11 , 11, out of which 3 , 3 , 3 , 3 , 11 , 11 are odd numbers. So, the sum of odd prime factors of 39204 is 3 + 3 + 3 + 3 + 11 + 11 = 34.