Steps to find Prime Factors of 5184 by Division Method

To find the primefactors of 5184 using the division method, follow these steps:

  • Step 1. Start dividing 5184 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 5184, which is 2. Divide 5184 by 2 to obtain the quotient (2592).
    5184 ÷ 2 = 2592
  • Step 3. Repeat step 1 with the obtained quotient (2592).
    2592 ÷ 2 = 1296
    1296 ÷ 2 = 648
    648 ÷ 2 = 324
    324 ÷ 2 = 162
    162 ÷ 2 = 81
    81 ÷ 3 = 27
    27 ÷ 3 = 9
    9 ÷ 3 = 3
    3 ÷ 3 = 1

So, the prime factorization of 5184 is, 5184 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3.

Steps to find Prime Factors of 5184 by Factor Tree Method

We can follow the same procedure using the factor tree of 5184 as shown below:

So, the prime factorization of 5184 is, 5184 = 2 x 2 x 2 x 2 x 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 5184 are 2 x 2 x 2 x 2 x 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 5184 but not a prime factor of 5184.

Frequently Asked Questions

  • Which is the smallest prime factor of 5184?

    Smallest prime factor of 5184 is 2.

  • Is 5184 a perfect square?

    Yes 5184 is a perfect square.

  • What is the prime factorization of 5184?

    Prime factorization of 5184 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3.

  • What is prime factorization of 5184 in exponential form?

    Prime factorization of 5184 in exponential form is 26 x 34.

  • Is 5184 a prime number or a composite number?

    5184 is a composite number.

  • Which is the largest prime factors of 5184?

    The largest prime factor of 5184 is 3.

  • What is the product of all prime factors of 5184?

    Prime factors of 5184 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3. Therefore, their product is 5184.

  • What numbers are the prime factors of 5184?

    Prime factors of 5184 are 2 , 2 , 2 , 2 , 2 , 2 , 3 , 3 , 3 , 3.

  • Is there any even prime factor of 5184?

    Yes there is a even prime factor of 5184.