Steps to find Prime Factors of 69696 by Division Method

To find the primefactors of 69696 using the division method, follow these steps:

  • Step 1. Start dividing 69696 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 69696, which is 2. Divide 69696 by 2 to obtain the quotient (34848).
    69696 ÷ 2 = 34848
  • Step 3. Repeat step 1 with the obtained quotient (34848).
    34848 ÷ 2 = 17424
    17424 ÷ 2 = 8712
    8712 ÷ 2 = 4356
    4356 ÷ 2 = 2178
    2178 ÷ 2 = 1089
    1089 ÷ 3 = 363
    363 ÷ 3 = 121
    121 ÷ 11 = 11
    11 ÷ 11 = 1

So, the prime factorization of 69696 is, 69696 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 11.

Steps to find Prime Factors of 69696 by Factor Tree Method

We can follow the same procedure using the factor tree of 69696 as shown below:

So, the prime factorization of 69696 is, 69696 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 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 69696 are 2 x 2 x 2 x 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 69696 but not a prime factor of 69696.

Frequently Asked Questions

  • Which is the smallest prime factor of 69696?

    Smallest prime factor of 69696 is 2.

  • Is 69696 a perfect square?

    Yes 69696 is a perfect square.

  • What is the prime factorization of 69696?

    Prime factorization of 69696 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 11.

  • What is prime factorization of 69696 in exponential form?

    Prime factorization of 69696 in exponential form is 26 x 32 x 112.

  • Is 69696 a prime number or a composite number?

    69696 is a composite number.

  • Which is the largest prime factors of 69696?

    The largest prime factor of 69696 is 11.

  • What is the product of all prime factors of 69696?

    Prime factors of 69696 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 11. Therefore, their product is 69696.

  • What numbers are the prime factors of 69696?

    Prime factors of 69696 are 2 , 2 , 2 , 2 , 2 , 2 , 3 , 3 , 11 , 11.

  • Is there any even prime factor of 69696?

    Yes there is a even prime factor of 69696.