Prime Factors of 549

Steps to find Prime Factors of 549 by Division Method

To find the primefactors of 549 using the division method, follow these steps:

• Step 1. Start dividing 549 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 549, which is 3. Divide 549 by 3 to obtain the quotient (183).
  549 ÷ 3 = 183
• Step 3. Repeat step 1 with the obtained quotient (183).
  183 ÷ 3 = 61
  61 ÷ 61 = 1

So, the prime factorization of 549 is, 549 = 3 x 3 x 61.

Steps to find Prime Factors of 549 by Factor Tree Method

We can follow the same procedure using the factor tree of 549 as shown below:

So, the prime factorization of 549 is, 549 = 3 x 3 x 61.

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 549 are 3 x 3 x 61.

Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 2 is the only even prime factor any number can have.
• Two prime factors 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 549 but not a prime factor of 549.

Frequently Asked Questions

• Which is the smallest prime factor of 549?

  Smallest prime factor of 549 is 3.

• Is 549 a perfect square?

  No 549 is not a perfect square.

• What is the prime factorization of 549?

  Prime factorization of 549 is 3 x 3 x 61.

• What are the factors of 549?

  Factors of 549 are 1 , 3 , 9 , 61 , 183 , 549.

• What is prime factorization of 549 in exponential form?

  Prime factorization of 549 in exponential form is 3² x 61.

• Is 549 a prime number or a composite number?

  549 is a composite number.

• Is 549 a prime number?

  false, 549 is not a prime number.

• How to find prime factorization of 549 easily?

  To find prime factorization of 549 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 549?

  The largest prime factor of 549 is 61.