Steps to find Prime Factors of 8827 by Division Method

To find the primefactors of 8827 using the division method, follow these steps:

  • Step 1. Start dividing 8827 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 8827, which is 7. Divide 8827 by 7 to obtain the quotient (1261).
    8827 ÷ 7 = 1261
  • Step 3. Repeat step 1 with the obtained quotient (1261).
    1261 ÷ 13 = 97
    97 ÷ 97 = 1

So, the prime factorization of 8827 is, 8827 = 7 x 13 x 97.

Steps to find Prime Factors of 8827 by Factor Tree Method

We can follow the same procedure using the factor tree of 8827 as shown below:

So, the prime factorization of 8827 is, 8827 = 7 x 13 x 97.

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 8827 are 7 x 13 x 97.

Properties of Prime Factors

  • For any given number there is one and only one set of unique prime factors.
  • 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
  • Two prime factors of a given number are always coprime to each other.
  • 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 8827 but not a prime factor of 8827.

Frequently Asked Questions

  • Which is the smallest prime factor of 8827?

    Smallest prime factor of 8827 is 7.

  • Is 8827 a perfect square?

    No 8827 is not a perfect square.

  • What is the prime factorization of 8827?

    Prime factorization of 8827 is 7 x 13 x 97.

  • What is prime factorization of 8827 in exponential form?

    Prime factorization of 8827 in exponential form is 7 x 13 x 97.

  • Is 8827 a prime number?

    false, 8827 is not a prime number.

  • Which is the largest prime factors of 8827?

    The largest prime factor of 8827 is 97.

  • What is the product of all prime factors of 8827?

    Prime factors of 8827 are 7 x 13 x 97. Therefore, their product is 8827.

  • What is the sum of all odd prime factors of 8827?

    Prime factors of 8827 are 7 , 13 , 97, out of which 7 , 13 , 97 are odd numbers. So, the sum of odd prime factors of 8827 is 7 + 13 + 97 = 117.

  • What is the product of all odd prime factors of 8827?

    Prime factors of 8827 are 7 , 13 , 97, out of which 7 , 13 , 97 are odd numbers. So, the product of odd prime factors of 8827 is 7 x 13 x 97 = 8827.