Prime Factors of 8748

Steps to find Prime Factors of 8748 by Division Method

To find the primefactors of 8748 using the division method, follow these steps:

• Step 1. Start dividing 8748 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 8748, which is 2. Divide 8748 by 2 to obtain the quotient (4374).
  8748 ÷ 2 = 4374
• Step 3. Repeat step 1 with the obtained quotient (4374).
  4374 ÷ 2 = 2187
  2187 ÷ 3 = 729
  729 ÷ 3 = 243
  243 ÷ 3 = 81
  81 ÷ 3 = 27
  27 ÷ 3 = 9
  9 ÷ 3 = 3
  3 ÷ 3 = 1

So, the prime factorization of 8748 is, 8748 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3.

Steps to find Prime Factors of 8748 by Factor Tree Method

We can follow the same procedure using the factor tree of 8748 as shown below:

So, the prime factorization of 8748 is, 8748 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3.

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 8748 are 2 x 2 x 3 x 3 x 3 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 8748 but not a prime factor of 8748.

Frequently Asked Questions

• Which is the smallest prime factor of 8748?

  Smallest prime factor of 8748 is 2.

• What is the prime factorization of 8748?

  Prime factorization of 8748 is 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3.

• What are the factors of 8748?

  Factors of 8748 are 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 27 , 36 , 54 , 81 , 108 , 162 , 243 , 324 , 486 , 729 , 972 , 1458 , 2187 , 2916 , 4374 , 8748.

• Is 8748 a prime number or a composite number?

  8748 is a composite number.

• Is 8748 a prime number?

  false, 8748 is not a prime number.

• Which is the largest prime factors of 8748?

  The largest prime factor of 8748 is 3.

• What is the sum of all prime factors of 8748?

  Prime factors of 8748 are 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3. Therefore, their sum is 25.

• What numbers are the prime factors of 8748?

  Prime factors of 8748 are 2 , 2 , 3 , 3 , 3 , 3 , 3 , 3 , 3.

• What is the sum of all odd prime factors of 8748?

  Prime factors of 8748 are 2 , 2 , 3 , 3 , 3 , 3 , 3 , 3 , 3, out of which 3 , 3 , 3 , 3 , 3 , 3 , 3 are odd numbers. So, the sum of odd prime factors of 8748 is 3 + 3 + 3 + 3 + 3 + 3 + 3 = 21.