Prime Factors of 543

Steps to find Prime Factors of 543 by Division Method

To find the primefactors of 543 using the division method, follow these steps:

• Step 1. Start dividing 543 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 543, which is 3. Divide 543 by 3 to obtain the quotient (181).
  543 ÷ 3 = 181
• Step 3. Repeat step 1 with the obtained quotient (181).
  181 ÷ 181 = 1

So, the prime factorization of 543 is, 543 = 3 x 181.

Steps to find Prime Factors of 543 by Factor Tree Method

We can follow the same procedure using the factor tree of 543 as shown below:

So, the prime factorization of 543 is, 543 = 3 x 181.

What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 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 543 are 3 x 181.

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 543 but not a prime factor of 543.

Frequently Asked Questions

• Which is the smallest prime factor of 543?

  Smallest prime factor of 543 is 3.

• What are the factors of 543?

  Factors of 543 are 1 , 3 , 181 , 543.

• What is prime factorization of 543 in exponential form?

  Prime factorization of 543 in exponential form is 3 x 181.

• Is 543 a prime number or a composite number?

  543 is a composite number.

• Is 543 a prime number?

  false, 543 is not a prime number.

• What is the sum of all prime factors of 543?

  Prime factors of 543 are 3 x 181. Therefore, their sum is 184.

• What is the product of all prime factors of 543?

  Prime factors of 543 are 3 x 181. Therefore, their product is 543.

• What numbers are the prime factors of 543?

  Prime factors of 543 are 3 , 181.

• What is the sum of all odd prime factors of 543?

  Prime factors of 543 are 3 , 181, out of which 3 , 181 are odd numbers. So, the sum of odd prime factors of 543 is 3 + 181 = 184.