Prime Factors of 54

Steps to find Prime Factors of 54 by Division Method

To find the primefactors of 54 using the division method, follow these steps:

• Step 1. Start dividing 54 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 54, which is 2. Divide 54 by 2 to obtain the quotient (27).
  54 ÷ 2 = 27
• Step 3. Repeat step 1 with the obtained quotient (27).
  27 ÷ 3 = 9
  9 ÷ 3 = 3
  3 ÷ 3 = 1

So, the prime factorization of 54 is, 54 = 2 x 3 x 3 x 3.

Steps to find Prime Factors of 54 by Factor Tree Method

We can follow the same procedure using the factor tree of 54 as shown below:

So, the prime factorization of 54 is, 54 = 2 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 54 are 2 x 3 x 3 x 3.

Properties of Prime Factors

• Two prime factors of a given number are always coprime to each other.
• 2 is the only even prime factor any number can have.
• Two prime factors 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 54 but not a prime factor of 54.

Frequently Asked Questions

• Which is the smallest prime factor of 54?

  Smallest prime factor of 54 is 2.

• Is 54 a perfect square?

  No 54 is not a perfect square.

• What is the prime factorization of 54?

  Prime factorization of 54 is 2 x 3 x 3 x 3.

• What are the factors of 54?

  Factors of 54 are 1 , 2 , 3 , 6 , 9 , 18 , 27 , 54.

• What is the product of all prime factors of 54?

  Prime factors of 54 are 2 x 3 x 3 x 3. Therefore, their product is 54.

• What numbers are the prime factors of 54?

  Prime factors of 54 are 2 , 3 , 3 , 3.

• What is the sum of all odd prime factors of 54?

  Prime factors of 54 are 2 , 3 , 3 , 3, out of which 3 , 3 , 3 are odd numbers. So, the sum of odd prime factors of 54 is 3 + 3 + 3 = 9.

• Is there any even prime factor of 54?

  Yes there is a even prime factor of 54.

• What is the product of all odd prime factors of 54?

  Prime factors of 54 are 2 , 3 , 3 , 3, out of which 3 , 3 , 3 are odd numbers. So, the product of odd prime factors of 54 is 3 x 3 x 3 = 27.