Steps to find Prime Factors of 6318 by Division Method

To find the primefactors of 6318 using the division method, follow these steps:

  • Step 1. Start dividing 6318 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 6318, which is 2. Divide 6318 by 2 to obtain the quotient (3159).
    6318 ÷ 2 = 3159
  • Step 3. Repeat step 1 with the obtained quotient (3159).
    3159 ÷ 3 = 1053
    1053 ÷ 3 = 351
    351 ÷ 3 = 117
    117 ÷ 3 = 39
    39 ÷ 3 = 13
    13 ÷ 13 = 1

So, the prime factorization of 6318 is, 6318 = 2 x 3 x 3 x 3 x 3 x 3 x 13.

Steps to find Prime Factors of 6318 by Factor Tree Method

We can follow the same procedure using the factor tree of 6318 as shown below:

So, the prime factorization of 6318 is, 6318 = 2 x 3 x 3 x 3 x 3 x 3 x 13.

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 6318 are 2 x 3 x 3 x 3 x 3 x 3 x 13.

Properties of Prime Factors

  • Two prime factors of a given number are always coprime to each other.
  • 2 is the only even prime factor any number can have.
  • Two prime factors 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 6318 but not a prime factor of 6318.

Frequently Asked Questions

  • Which is the smallest prime factor of 6318?

    Smallest prime factor of 6318 is 2.

  • Is 6318 a perfect square?

    No 6318 is not a perfect square.

  • What is the prime factorization of 6318?

    Prime factorization of 6318 is 2 x 3 x 3 x 3 x 3 x 3 x 13.

  • What are the factors of 6318?

    Factors of 6318 are 1 , 2 , 3 , 6 , 9 , 13 , 18 , 26 , 27 , 39 , 54 , 78 , 81 , 117 , 162 , 234 , 243 , 351 , 486 , 702 , 1053 , 2106 , 3159 , 6318.

  • What is the product of all prime factors of 6318?

    Prime factors of 6318 are 2 x 3 x 3 x 3 x 3 x 3 x 13. Therefore, their product is 6318.

  • What numbers are the prime factors of 6318?

    Prime factors of 6318 are 2 , 3 , 3 , 3 , 3 , 3 , 13.

  • What is the sum of all odd prime factors of 6318?

    Prime factors of 6318 are 2 , 3 , 3 , 3 , 3 , 3 , 13, out of which 3 , 3 , 3 , 3 , 3 , 13 are odd numbers. So, the sum of odd prime factors of 6318 is 3 + 3 + 3 + 3 + 3 + 13 = 28.

  • Is there any even prime factor of 6318?

    Yes there is a even prime factor of 6318.

  • What is the product of all odd prime factors of 6318?

    Prime factors of 6318 are 2 , 3 , 3 , 3 , 3 , 3 , 13, out of which 3 , 3 , 3 , 3 , 3 , 13 are odd numbers. So, the product of odd prime factors of 6318 is 3 x 3 x 3 x 3 x 3 x 13 = 3159.