Steps to find Prime Factors of 8134 by Division Method

To find the primefactors of 8134 using the division method, follow these steps:

  • Step 1. Start dividing 8134 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 8134, which is 2. Divide 8134 by 2 to obtain the quotient (4067).
    8134 ÷ 2 = 4067
  • Step 3. Repeat step 1 with the obtained quotient (4067).
    4067 ÷ 7 = 581
    581 ÷ 7 = 83
    83 ÷ 83 = 1

So, the prime factorization of 8134 is, 8134 = 2 x 7 x 7 x 83.

Steps to find Prime Factors of 8134 by Factor Tree Method

We can follow the same procedure using the factor tree of 8134 as shown below:

So, the prime factorization of 8134 is, 8134 = 2 x 7 x 7 x 83.

What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 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 8134 are 2 x 7 x 7 x 83.

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 8134 but not a prime factor of 8134.

Frequently Asked Questions

  • Which is the smallest prime factor of 8134?

    Smallest prime factor of 8134 is 2.

  • Is 8134 a perfect square?

    No 8134 is not a perfect square.

  • What is the prime factorization of 8134?

    Prime factorization of 8134 is 2 x 7 x 7 x 83.

  • What are the factors of 8134?

    Factors of 8134 are 1 , 2 , 7 , 14 , 49 , 83 , 98 , 166 , 581 , 1162 , 4067 , 8134.

  • What is the product of all prime factors of 8134?

    Prime factors of 8134 are 2 x 7 x 7 x 83. Therefore, their product is 8134.

  • What numbers are the prime factors of 8134?

    Prime factors of 8134 are 2 , 7 , 7 , 83.

  • What is the sum of all odd prime factors of 8134?

    Prime factors of 8134 are 2 , 7 , 7 , 83, out of which 7 , 7 , 83 are odd numbers. So, the sum of odd prime factors of 8134 is 7 + 7 + 83 = 97.

  • Is there any even prime factor of 8134?

    Yes there is a even prime factor of 8134.

  • What is the product of all odd prime factors of 8134?

    Prime factors of 8134 are 2 , 7 , 7 , 83, out of which 7 , 7 , 83 are odd numbers. So, the product of odd prime factors of 8134 is 7 x 7 x 83 = 4067.