Prime Factors of 8316

Steps to find Prime Factors of 8316 by Division Method

To find the primefactors of 8316 using the division method, follow these steps:

• Step 1. Start dividing 8316 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 8316, which is 2. Divide 8316 by 2 to obtain the quotient (4158).
  8316 ÷ 2 = 4158
• Step 3. Repeat step 1 with the obtained quotient (4158).
  4158 ÷ 2 = 2079
  2079 ÷ 3 = 693
  693 ÷ 3 = 231
  231 ÷ 3 = 77
  77 ÷ 7 = 11
  11 ÷ 11 = 1

So, the prime factorization of 8316 is, 8316 = 2 x 2 x 3 x 3 x 3 x 7 x 11.

Steps to find Prime Factors of 8316 by Factor Tree Method

We can follow the same procedure using the factor tree of 8316 as shown below:

So, the prime factorization of 8316 is, 8316 = 2 x 2 x 3 x 3 x 3 x 7 x 11.

Introduction to Prime Factors?

In mathematics, prime numbers are defined as all those natural numbers greater than 1 that has only two divisors one being number 1 and the other being the number itself. When we express any number as the products of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 8316 are 2 x 2 x 3 x 3 x 3 x 7 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 8316 but not a prime factor of 8316.

Frequently Asked Questions

• Which is the smallest prime factor of 8316?

  Smallest prime factor of 8316 is 2.

• What is the prime factorization of 8316?

  Prime factorization of 8316 is 2 x 2 x 3 x 3 x 3 x 7 x 11.

• What are the factors of 8316?

  Factors of 8316 are 1 , 2 , 3 , 4 , 6 , 7 , 9 , 11 , 12 , 14 , 18 , 21 , 22 , 27 , 28 , 33 , 36 , 42 , 44 , 54 , 63 , 66 , 77 , 84 , 99 , 108 , 126 , 132 , 154 , 189 , 198 , 231 , 252 , 297 , 308 , 378 , 396 , 462 , 594 , 693 , 756 , 924 , 1188 , 1386 , 2079 , 2772 , 4158 , 8316.

• Is 8316 a prime number or a composite number?

  8316 is a composite number.

• Is 8316 a prime number?

  false, 8316 is not a prime number.

• Which is the largest prime factors of 8316?

  The largest prime factor of 8316 is 11.

• What is the sum of all prime factors of 8316?

  Prime factors of 8316 are 2 x 2 x 3 x 3 x 3 x 7 x 11. Therefore, their sum is 31.

• What numbers are the prime factors of 8316?

  Prime factors of 8316 are 2 , 2 , 3 , 3 , 3 , 7 , 11.

• What is the sum of all odd prime factors of 8316?

  Prime factors of 8316 are 2 , 2 , 3 , 3 , 3 , 7 , 11, out of which 3 , 3 , 3 , 7 , 11 are odd numbers. So, the sum of odd prime factors of 8316 is 3 + 3 + 3 + 7 + 11 = 27.