Prime Factors of 539

Steps to find Prime Factors of 539 by Division Method

To find the primefactors of 539 using the division method, follow these steps:

• Step 1. Start dividing 539 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 539, which is 7. Divide 539 by 7 to obtain the quotient (77).
  539 ÷ 7 = 77
• Step 3. Repeat step 1 with the obtained quotient (77).
  77 ÷ 7 = 11
  11 ÷ 11 = 1

So, the prime factorization of 539 is, 539 = 7 x 7 x 11.

Steps to find Prime Factors of 539 by Factor Tree Method

We can follow the same procedure using the factor tree of 539 as shown below:

So, the prime factorization of 539 is, 539 = 7 x 7 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 539 are 7 x 7 x 11.

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 539 but not a prime factor of 539.

Frequently Asked Questions

• Which is the smallest prime factor of 539?

  Smallest prime factor of 539 is 7.

• Is 539 a perfect square?

  No 539 is not a perfect square.

• What is the prime factorization of 539?

  Prime factorization of 539 is 7 x 7 x 11.

• What is prime factorization of 539 in exponential form?

  Prime factorization of 539 in exponential form is 7² x 11.

• Is 539 a prime number?

  false, 539 is not a prime number.

• Which is the largest prime factors of 539?

  The largest prime factor of 539 is 11.

• What is the product of all prime factors of 539?

  Prime factors of 539 are 7 x 7 x 11. Therefore, their product is 539.

• What is the sum of all odd prime factors of 539?

  Prime factors of 539 are 7 , 7 , 11, out of which 7 , 7 , 11 are odd numbers. So, the sum of odd prime factors of 539 is 7 + 7 + 11 = 25.

• What is the product of all odd prime factors of 539?

  Prime factors of 539 are 7 , 7 , 11, out of which 7 , 7 , 11 are odd numbers. So, the product of odd prime factors of 539 is 7 x 7 x 11 = 539.