Prime Factors of 27216

Steps to find Prime Factors of 27216 by Division Method

To find the primefactors of 27216 using the division method, follow these steps:

• Step 1. Start dividing 27216 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 27216, which is 2. Divide 27216 by 2 to obtain the quotient (13608).
  27216 ÷ 2 = 13608
• Step 3. Repeat step 1 with the obtained quotient (13608).
  13608 ÷ 2 = 6804
  6804 ÷ 2 = 3402
  3402 ÷ 2 = 1701
  1701 ÷ 3 = 567
  567 ÷ 3 = 189
  189 ÷ 3 = 63
  63 ÷ 3 = 21
  21 ÷ 3 = 7
  7 ÷ 7 = 1

So, the prime factorization of 27216 is, 27216 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7.

Steps to find Prime Factors of 27216 by Factor Tree Method

We can follow the same procedure using the factor tree of 27216 as shown below:

So, the prime factorization of 27216 is, 27216 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7.

Introduction to Prime Factors?

In mathematics, prime numbers are defined as all those natural numbers greater than 1 that has only two divisors one being number 1 and the other being the number itself. When we express any number as the products of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 27216 are 2 x 2 x 2 x 2 x 3 x 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.
• 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 27216 but not a prime factor of 27216.

Frequently Asked Questions

• Which is the smallest prime factor of 27216?

  Smallest prime factor of 27216 is 2.

• Is 27216 a perfect square?

  No 27216 is not a perfect square.

• What is the prime factorization of 27216?

  Prime factorization of 27216 is 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7.

• What is prime factorization of 27216 in exponential form?

  Prime factorization of 27216 in exponential form is 2⁴ x 3⁵ x 7.

• Is 27216 a prime number or a composite number?

  27216 is a composite number.

• Which is the largest prime factors of 27216?

  The largest prime factor of 27216 is 7.

• What is the product of all prime factors of 27216?

  Prime factors of 27216 are 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7. Therefore, their product is 27216.

• What numbers are the prime factors of 27216?

  Prime factors of 27216 are 2 , 2 , 2 , 2 , 3 , 3 , 3 , 3 , 3 , 7.

• Is there any even prime factor of 27216?

  Yes there is a even prime factor of 27216.