Prime Factors of 8928

Steps to find Prime Factors of 8928 by Division Method

To find the primefactors of 8928 using the division method, follow these steps:

• Step 1. Start dividing 8928 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 8928, which is 2. Divide 8928 by 2 to obtain the quotient (4464).
  8928 ÷ 2 = 4464
• Step 3. Repeat step 1 with the obtained quotient (4464).
  4464 ÷ 2 = 2232
  2232 ÷ 2 = 1116
  1116 ÷ 2 = 558
  558 ÷ 2 = 279
  279 ÷ 3 = 93
  93 ÷ 3 = 31
  31 ÷ 31 = 1

So, the prime factorization of 8928 is, 8928 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 31.

Steps to find Prime Factors of 8928 by Factor Tree Method

We can follow the same procedure using the factor tree of 8928 as shown below:

So, the prime factorization of 8928 is, 8928 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 31.

What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 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 8928 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 31.

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 8928 but not a prime factor of 8928.

Frequently Asked Questions

• Which is the smallest prime factor of 8928?

  Smallest prime factor of 8928 is 2.

• Is 8928 a perfect square?

  No 8928 is not a perfect square.

• What is the prime factorization of 8928?

  Prime factorization of 8928 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 31.

• What is prime factorization of 8928 in exponential form?

  Prime factorization of 8928 in exponential form is 2⁵ x 3² x 31.

• Is 8928 a prime number or a composite number?

  8928 is a composite number.

• Which is the largest prime factors of 8928?

  The largest prime factor of 8928 is 31.

• What is the product of all prime factors of 8928?

  Prime factors of 8928 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 31. Therefore, their product is 8928.

• What numbers are the prime factors of 8928?

  Prime factors of 8928 are 2 , 2 , 2 , 2 , 2 , 3 , 3 , 31.

• Is there any even prime factor of 8928?

  Yes there is a even prime factor of 8928.