Prime Factors of 8712

Steps to find Prime Factors of 8712 by Division Method

To find the primefactors of 8712 using the division method, follow these steps:

• Step 1. Start dividing 8712 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 8712, which is 2. Divide 8712 by 2 to obtain the quotient (4356).
  8712 ÷ 2 = 4356
• Step 3. Repeat step 1 with the obtained quotient (4356).
  4356 ÷ 2 = 2178
  2178 ÷ 2 = 1089
  1089 ÷ 3 = 363
  363 ÷ 3 = 121
  121 ÷ 11 = 11
  11 ÷ 11 = 1

So, the prime factorization of 8712 is, 8712 = 2 x 2 x 2 x 3 x 3 x 11 x 11.

Steps to find Prime Factors of 8712 by Factor Tree Method

We can follow the same procedure using the factor tree of 8712 as shown below:

So, the prime factorization of 8712 is, 8712 = 2 x 2 x 2 x 3 x 3 x 11 x 11.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 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 8712 are 2 x 2 x 2 x 3 x 3 x 11 x 11.

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 8712 but not a prime factor of 8712.

Frequently Asked Questions

• Which is the smallest prime factor of 8712?

  Smallest prime factor of 8712 is 2.

• Is 8712 a perfect square?

  No 8712 is not a perfect square.

• What is the prime factorization of 8712?

  Prime factorization of 8712 is 2 x 2 x 2 x 3 x 3 x 11 x 11.

• What is prime factorization of 8712 in exponential form?

  Prime factorization of 8712 in exponential form is 2³ x 3² x 11².

• Is 8712 a prime number or a composite number?

  8712 is a composite number.

• Which is the largest prime factors of 8712?

  The largest prime factor of 8712 is 11.

• What is the product of all prime factors of 8712?

  Prime factors of 8712 are 2 x 2 x 2 x 3 x 3 x 11 x 11. Therefore, their product is 8712.

• What numbers are the prime factors of 8712?

  Prime factors of 8712 are 2 , 2 , 2 , 3 , 3 , 11 , 11.

• Is there any even prime factor of 8712?

  Yes there is a even prime factor of 8712.