Prime Factors of 1239

Steps to find Prime Factors of 1239 by Division Method

To find the primefactors of 1239 using the division method, follow these steps:

• Step 1. Start dividing 1239 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 1239, which is 3. Divide 1239 by 3 to obtain the quotient (413).
  1239 ÷ 3 = 413
• Step 3. Repeat step 1 with the obtained quotient (413).
  413 ÷ 7 = 59
  59 ÷ 59 = 1

So, the prime factorization of 1239 is, 1239 = 3 x 7 x 59.

Steps to find Prime Factors of 1239 by Factor Tree Method

We can follow the same procedure using the factor tree of 1239 as shown below:

So, the prime factorization of 1239 is, 1239 = 3 x 7 x 59.

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 1239 are 3 x 7 x 59.

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 1239 but not a prime factor of 1239.

Frequently Asked Questions

• Which is the smallest prime factor of 1239?

  Smallest prime factor of 1239 is 3.

• What are the factors of 1239?

  Factors of 1239 are 1 , 3 , 7 , 21 , 59 , 177 , 413 , 1239.

• What is prime factorization of 1239 in exponential form?

  Prime factorization of 1239 in exponential form is 3 x 7 x 59.

• Is 1239 a prime number or a composite number?

  1239 is a composite number.

• Is 1239 a prime number?

  false, 1239 is not a prime number.

• What is the sum of all prime factors of 1239?

  Prime factors of 1239 are 3 x 7 x 59. Therefore, their sum is 69.

• What is the product of all prime factors of 1239?

  Prime factors of 1239 are 3 x 7 x 59. Therefore, their product is 1239.

• What numbers are the prime factors of 1239?

  Prime factors of 1239 are 3 , 7 , 59.

• What is the sum of all odd prime factors of 1239?

  Prime factors of 1239 are 3 , 7 , 59, out of which 3 , 7 , 59 are odd numbers. So, the sum of odd prime factors of 1239 is 3 + 7 + 59 = 69.