Prime Factors of 567

Steps to find Prime Factors of 567 by Division Method

To find the primefactors of 567 using the division method, follow these steps:

• Step 1. Start dividing 567 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 567, which is 3. Divide 567 by 3 to obtain the quotient (189).
  567 ÷ 3 = 189
• Step 3. Repeat step 1 with the obtained quotient (189).
  189 ÷ 3 = 63
  63 ÷ 3 = 21
  21 ÷ 3 = 7
  7 ÷ 7 = 1

So, the prime factorization of 567 is, 567 = 3 x 3 x 3 x 3 x 7.

Steps to find Prime Factors of 567 by Factor Tree Method

We can follow the same procedure using the factor tree of 567 as shown below:

So, the prime factorization of 567 is, 567 = 3 x 3 x 3 x 3 x 7.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 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 567 are 3 x 3 x 3 x 3 x 7.

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 567 but not a prime factor of 567.

Frequently Asked Questions

• Which is the smallest prime factor of 567?

  Smallest prime factor of 567 is 3.

• What are the factors of 567?

  Factors of 567 are 1 , 3 , 7 , 9 , 21 , 27 , 63 , 81 , 189 , 567.

• What is prime factorization of 567 in exponential form?

  Prime factorization of 567 in exponential form is 3⁴ x 7.

• Is 567 a prime number or a composite number?

  567 is a composite number.

• Is 567 a prime number?

  false, 567 is not a prime number.

• What is the sum of all prime factors of 567?

  Prime factors of 567 are 3 x 3 x 3 x 3 x 7. Therefore, their sum is 19.

• What is the product of all prime factors of 567?

  Prime factors of 567 are 3 x 3 x 3 x 3 x 7. Therefore, their product is 567.

• What numbers are the prime factors of 567?

  Prime factors of 567 are 3 , 3 , 3 , 3 , 7.

• What is the sum of all odd prime factors of 567?

  Prime factors of 567 are 3 , 3 , 3 , 3 , 7, out of which 3 , 3 , 3 , 3 , 7 are odd numbers. So, the sum of odd prime factors of 567 is 3 + 3 + 3 + 3 + 7 = 19.