Prime Factors of 564

Steps to find Prime Factors of 564 by Division Method

To find the primefactors of 564 using the division method, follow these steps:

• Step 1. Start dividing 564 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 564, which is 2. Divide 564 by 2 to obtain the quotient (282).
  564 ÷ 2 = 282
• Step 3. Repeat step 1 with the obtained quotient (282).
  282 ÷ 2 = 141
  141 ÷ 3 = 47
  47 ÷ 47 = 1

So, the prime factorization of 564 is, 564 = 2 x 2 x 3 x 47.

Steps to find Prime Factors of 564 by Factor Tree Method

We can follow the same procedure using the factor tree of 564 as shown below:

So, the prime factorization of 564 is, 564 = 2 x 2 x 3 x 47.

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 564 are 2 x 2 x 3 x 47.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 564 but not a prime factor of 564.

Frequently Asked Questions

• Which is the smallest prime factor of 564?

  Smallest prime factor of 564 is 2.

• What is the prime factorization of 564?

  Prime factorization of 564 is 2 x 2 x 3 x 47.

• What are the factors of 564?

  Factors of 564 are 1 , 2 , 3 , 4 , 6 , 12 , 47 , 94 , 141 , 188 , 282 , 564.

• Is 564 a prime number or a composite number?

  564 is a composite number.

• Is 564 a prime number?

  false, 564 is not a prime number.

• Which is the largest prime factors of 564?

  The largest prime factor of 564 is 47.

• What is the sum of all prime factors of 564?

  Prime factors of 564 are 2 x 2 x 3 x 47. Therefore, their sum is 54.

• What numbers are the prime factors of 564?

  Prime factors of 564 are 2 , 2 , 3 , 47.

• What is the sum of all odd prime factors of 564?

  Prime factors of 564 are 2 , 2 , 3 , 47, out of which 3 , 47 are odd numbers. So, the sum of odd prime factors of 564 is 3 + 47 = 50.