Prime Factors of 39

Steps to find Prime Factors of 39 by Division Method

To find the primefactors of 39 using the division method, follow these steps:

• Step 1. Start dividing 39 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 39, which is 3. Divide 39 by 3 to obtain the quotient (13).
  39 ÷ 3 = 13
• Step 3. Repeat step 1 with the obtained quotient (13).
  13 ÷ 13 = 1

So, the prime factorization of 39 is, 39 = 3 x 13.

Steps to find Prime Factors of 39 by Factor Tree Method

We can follow the same procedure using the factor tree of 39 as shown below:

So, the prime factorization of 39 is, 39 = 3 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 39 are 3 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 39 but not a prime factor of 39.

Frequently Asked Questions

• Which is the smallest prime factor of 39?

  Smallest prime factor of 39 is 3.

• What are the factors of 39?

  Factors of 39 are 1 , 3 , 13 , 39.

• What is prime factorization of 39 in exponential form?

  Prime factorization of 39 in exponential form is 3 x 13.

• Is 39 a prime number or a composite number?

  39 is a composite number.

• Is 39 a prime number?

  false, 39 is not a prime number.

• What is the sum of all prime factors of 39?

  Prime factors of 39 are 3 x 13. Therefore, their sum is 16.

• What is the product of all prime factors of 39?

  Prime factors of 39 are 3 x 13. Therefore, their product is 39.

• What numbers are the prime factors of 39?

  Prime factors of 39 are 3 , 13.

• What is the sum of all odd prime factors of 39?

  Prime factors of 39 are 3 , 13, out of which 3 , 13 are odd numbers. So, the sum of odd prime factors of 39 is 3 + 13 = 16.