Prime Factors of 39039

Steps to find Prime Factors of 39039 by Division Method

To find the primefactors of 39039 using the division method, follow these steps:

• Step 1. Start dividing 39039 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 39039, which is 3. Divide 39039 by 3 to obtain the quotient (13013).
  39039 ÷ 3 = 13013
• Step 3. Repeat step 1 with the obtained quotient (13013).
  13013 ÷ 7 = 1859
  1859 ÷ 11 = 169
  169 ÷ 13 = 13
  13 ÷ 13 = 1

So, the prime factorization of 39039 is, 39039 = 3 x 7 x 11 x 13 x 13.

Steps to find Prime Factors of 39039 by Factor Tree Method

We can follow the same procedure using the factor tree of 39039 as shown below:

So, the prime factorization of 39039 is, 39039 = 3 x 7 x 11 x 13 x 13.

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 39039 are 3 x 7 x 11 x 13 x 13.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
• Two prime factors of a given number are always coprime to each other.
• 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 39039 but not a prime factor of 39039.

Frequently Asked Questions

• Which is the smallest prime factor of 39039?

  Smallest prime factor of 39039 is 3.

• What are the factors of 39039?

  Factors of 39039 are 1 , 3 , 7 , 11 , 13 , 21 , 33 , 39 , 77 , 91 , 143 , 169 , 231 , 273 , 429 , 507 , 1001 , 1183 , 1859 , 3003 , 3549 , 5577 , 13013 , 39039.

• What is prime factorization of 39039 in exponential form?

  Prime factorization of 39039 in exponential form is 3 x 7 x 11 x 13².

• Is 39039 a prime number or a composite number?

  39039 is a composite number.

• Is 39039 a prime number?

  false, 39039 is not a prime number.

• What is the sum of all prime factors of 39039?

  Prime factors of 39039 are 3 x 7 x 11 x 13 x 13. Therefore, their sum is 47.

• What is the product of all prime factors of 39039?

  Prime factors of 39039 are 3 x 7 x 11 x 13 x 13. Therefore, their product is 39039.

• What numbers are the prime factors of 39039?

  Prime factors of 39039 are 3 , 7 , 11 , 13 , 13.

• What is the sum of all odd prime factors of 39039?

  Prime factors of 39039 are 3 , 7 , 11 , 13 , 13, out of which 3 , 7 , 11 , 13 , 13 are odd numbers. So, the sum of odd prime factors of 39039 is 3 + 7 + 11 + 13 + 13 = 47.