Prime Factors of 204

Steps to find Prime Factors of 204 by Division Method

To find the primefactors of 204 using the division method, follow these steps:

• Step 1. Start dividing 204 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 204, which is 2. Divide 204 by 2 to obtain the quotient (102).
  204 ÷ 2 = 102
• Step 3. Repeat step 1 with the obtained quotient (102).
  102 ÷ 2 = 51
  51 ÷ 3 = 17
  17 ÷ 17 = 1

So, the prime factorization of 204 is, 204 = 2 x 2 x 3 x 17.

Steps to find Prime Factors of 204 by Factor Tree Method

We can follow the same procedure using the factor tree of 204 as shown below:

So, the prime factorization of 204 is, 204 = 2 x 2 x 3 x 17.

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 204 are 2 x 2 x 3 x 17.

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 204 but not a prime factor of 204.

Frequently Asked Questions

• Which is the smallest prime factor of 204?

  Smallest prime factor of 204 is 2.

• What is the prime factorization of 204?

  Prime factorization of 204 is 2 x 2 x 3 x 17.

• What are the factors of 204?

  Factors of 204 are 1 , 2 , 3 , 4 , 6 , 12 , 17 , 34 , 51 , 68 , 102 , 204.

• Is 204 a prime number or a composite number?

  204 is a composite number.

• Is 204 a prime number?

  false, 204 is not a prime number.

• Which is the largest prime factors of 204?

  The largest prime factor of 204 is 17.

• What is the sum of all prime factors of 204?

  Prime factors of 204 are 2 x 2 x 3 x 17. Therefore, their sum is 24.

• What numbers are the prime factors of 204?

  Prime factors of 204 are 2 , 2 , 3 , 17.

• What is the sum of all odd prime factors of 204?

  Prime factors of 204 are 2 , 2 , 3 , 17, out of which 3 , 17 are odd numbers. So, the sum of odd prime factors of 204 is 3 + 17 = 20.