Prime Factors of 28224

Steps to find Prime Factors of 28224 by Division Method

To find the primefactors of 28224 using the division method, follow these steps:

• Step 1. Start dividing 28224 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 28224, which is 2. Divide 28224 by 2 to obtain the quotient (14112).
  28224 ÷ 2 = 14112
• Step 3. Repeat step 1 with the obtained quotient (14112).
  14112 ÷ 2 = 7056
  7056 ÷ 2 = 3528
  3528 ÷ 2 = 1764
  1764 ÷ 2 = 882
  882 ÷ 2 = 441
  441 ÷ 3 = 147
  147 ÷ 3 = 49
  49 ÷ 7 = 7
  7 ÷ 7 = 1

So, the prime factorization of 28224 is, 28224 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7.

Steps to find Prime Factors of 28224 by Factor Tree Method

We can follow the same procedure using the factor tree of 28224 as shown below:

So, the prime factorization of 28224 is, 28224 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7.

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 28224 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 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 28224 but not a prime factor of 28224.

Frequently Asked Questions

• Which is the smallest prime factor of 28224?

  Smallest prime factor of 28224 is 2.

• Is 28224 a perfect square?

  Yes 28224 is a perfect square.

• What is the prime factorization of 28224?

  Prime factorization of 28224 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7.

• What is prime factorization of 28224 in exponential form?

  Prime factorization of 28224 in exponential form is 2⁶ x 3² x 7².

• Is 28224 a prime number or a composite number?

  28224 is a composite number.

• Which is the largest prime factors of 28224?

  The largest prime factor of 28224 is 7.

• What is the product of all prime factors of 28224?

  Prime factors of 28224 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7. Therefore, their product is 28224.

• What numbers are the prime factors of 28224?

  Prime factors of 28224 are 2 , 2 , 2 , 2 , 2 , 2 , 3 , 3 , 7 , 7.

• Is there any even prime factor of 28224?

  Yes there is a even prime factor of 28224.