Prime Factors of 324

Steps to find Prime Factors of 324 by Division Method

To find the primefactors of 324 using the division method, follow these steps:

• Step 1. Start dividing 324 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 324, which is 2. Divide 324 by 2 to obtain the quotient (162).
  324 ÷ 2 = 162
• Step 3. Repeat step 1 with the obtained quotient (162).
  162 ÷ 2 = 81
  81 ÷ 3 = 27
  27 ÷ 3 = 9
  9 ÷ 3 = 3
  3 ÷ 3 = 1

So, the prime factorization of 324 is, 324 = 2 x 2 x 3 x 3 x 3 x 3.

Steps to find Prime Factors of 324 by Factor Tree Method

We can follow the same procedure using the factor tree of 324 as shown below:

So, the prime factorization of 324 is, 324 = 2 x 2 x 3 x 3 x 3 x 3.

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 324 are 2 x 2 x 3 x 3 x 3 x 3.

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 324 but not a prime factor of 324.

Frequently Asked Questions

• Which is the smallest prime factor of 324?

  Smallest prime factor of 324 is 2.

• What is the prime factorization of 324?

  Prime factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3.

• What are the factors of 324?

  Factors of 324 are 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 27 , 36 , 54 , 81 , 108 , 162 , 324.

• Is 324 a prime number or a composite number?

  324 is a composite number.

• Is 324 a prime number?

  false, 324 is not a prime number.

• Which is the largest prime factors of 324?

  The largest prime factor of 324 is 3.

• What is the sum of all prime factors of 324?

  Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3. Therefore, their sum is 16.

• What numbers are the prime factors of 324?

  Prime factors of 324 are 2 , 2 , 3 , 3 , 3 , 3.

• What is the sum of all odd prime factors of 324?

  Prime factors of 324 are 2 , 2 , 3 , 3 , 3 , 3, out of which 3 , 3 , 3 , 3 are odd numbers. So, the sum of odd prime factors of 324 is 3 + 3 + 3 + 3 = 12.