Steps to find Prime Factors of 27783 by Division Method

To find the primefactors of 27783 using the division method, follow these steps:

  • Step 1. Start dividing 27783 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 27783, which is 3. Divide 27783 by 3 to obtain the quotient (9261).
    27783 ÷ 3 = 9261
  • Step 3. Repeat step 1 with the obtained quotient (9261).
    9261 ÷ 3 = 3087
    3087 ÷ 3 = 1029
    1029 ÷ 3 = 343
    343 ÷ 7 = 49
    49 ÷ 7 = 7
    7 ÷ 7 = 1

So, the prime factorization of 27783 is, 27783 = 3 x 3 x 3 x 3 x 7 x 7 x 7.

Steps to find Prime Factors of 27783 by Factor Tree Method

We can follow the same procedure using the factor tree of 27783 as shown below:

So, the prime factorization of 27783 is, 27783 = 3 x 3 x 3 x 3 x 7 x 7 x 7.

What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 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 27783 are 3 x 3 x 3 x 3 x 7 x 7 x 7.

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 27783 but not a prime factor of 27783.

Frequently Asked Questions

  • Which is the smallest prime factor of 27783?

    Smallest prime factor of 27783 is 3.

  • What are the factors of 27783?

    Factors of 27783 are 1 , 3 , 7 , 9 , 21 , 27 , 49 , 63 , 81 , 147 , 189 , 343 , 441 , 567 , 1029 , 1323 , 3087 , 3969 , 9261 , 27783.

  • What is prime factorization of 27783 in exponential form?

    Prime factorization of 27783 in exponential form is 34 x 73.

  • Is 27783 a prime number or a composite number?

    27783 is a composite number.

  • Is 27783 a prime number?

    false, 27783 is not a prime number.

  • What is the sum of all prime factors of 27783?

    Prime factors of 27783 are 3 x 3 x 3 x 3 x 7 x 7 x 7. Therefore, their sum is 33.

  • What is the product of all prime factors of 27783?

    Prime factors of 27783 are 3 x 3 x 3 x 3 x 7 x 7 x 7. Therefore, their product is 27783.

  • What numbers are the prime factors of 27783?

    Prime factors of 27783 are 3 , 3 , 3 , 3 , 7 , 7 , 7.

  • What is the sum of all odd prime factors of 27783?

    Prime factors of 27783 are 3 , 3 , 3 , 3 , 7 , 7 , 7, out of which 3 , 3 , 3 , 3 , 7 , 7 , 7 are odd numbers. So, the sum of odd prime factors of 27783 is 3 + 3 + 3 + 3 + 7 + 7 + 7 = 33.