Steps to find Prime Factors of 10816 by Division Method

To find the primefactors of 10816 using the division method, follow these steps:

  • Step 1. Start dividing 10816 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 10816, which is 2. Divide 10816 by 2 to obtain the quotient (5408).
    10816 ÷ 2 = 5408
  • Step 3. Repeat step 1 with the obtained quotient (5408).
    5408 ÷ 2 = 2704
    2704 ÷ 2 = 1352
    1352 ÷ 2 = 676
    676 ÷ 2 = 338
    338 ÷ 2 = 169
    169 ÷ 13 = 13
    13 ÷ 13 = 1

So, the prime factorization of 10816 is, 10816 = 2 x 2 x 2 x 2 x 2 x 2 x 13 x 13.

Steps to find Prime Factors of 10816 by Factor Tree Method

We can follow the same procedure using the factor tree of 10816 as shown below:

So, the prime factorization of 10816 is, 10816 = 2 x 2 x 2 x 2 x 2 x 2 x 13 x 13.

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 10816 are 2 x 2 x 2 x 2 x 2 x 2 x 13 x 13.

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 10816 but not a prime factor of 10816.

Frequently Asked Questions

  • Which is the smallest prime factor of 10816?

    Smallest prime factor of 10816 is 2.

  • Is 10816 a perfect square?

    Yes 10816 is a perfect square.

  • What is the prime factorization of 10816?

    Prime factorization of 10816 is 2 x 2 x 2 x 2 x 2 x 2 x 13 x 13.

  • What is prime factorization of 10816 in exponential form?

    Prime factorization of 10816 in exponential form is 26 x 132.

  • Is 10816 a prime number or a composite number?

    10816 is a composite number.

  • Which is the largest prime factors of 10816?

    The largest prime factor of 10816 is 13.

  • What is the product of all prime factors of 10816?

    Prime factors of 10816 are 2 x 2 x 2 x 2 x 2 x 2 x 13 x 13. Therefore, their product is 10816.

  • What numbers are the prime factors of 10816?

    Prime factors of 10816 are 2 , 2 , 2 , 2 , 2 , 2 , 13 , 13.

  • Is there any even prime factor of 10816?

    Yes there is a even prime factor of 10816.