Prime Factors of 6875

Steps to find Prime Factors of 6875 by Division Method

To find the primefactors of 6875 using the division method, follow these steps:

• Step 1. Start dividing 6875 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 6875, which is 5. Divide 6875 by 5 to obtain the quotient (1375).
  6875 ÷ 5 = 1375
• Step 3. Repeat step 1 with the obtained quotient (1375).
  1375 ÷ 5 = 275
  275 ÷ 5 = 55
  55 ÷ 5 = 11
  11 ÷ 11 = 1

So, the prime factorization of 6875 is, 6875 = 5 x 5 x 5 x 5 x 11.

Steps to find Prime Factors of 6875 by Factor Tree Method

We can follow the same procedure using the factor tree of 6875 as shown below:

So, the prime factorization of 6875 is, 6875 = 5 x 5 x 5 x 5 x 11.

Definition of Prime Factors?

In mathematics, prime numbers are defined as all those whole numbers greater than 1 that have only two factors, i.e. 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 6875 are 5 x 5 x 5 x 5 x 11.

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 6875 but not a prime factor of 6875.

Frequently Asked Questions

• Which is the smallest prime factor of 6875?

  Smallest prime factor of 6875 is 5.

• Is 6875 a perfect square?

  No 6875 is not a perfect square.

• What is the prime factorization of 6875?

  Prime factorization of 6875 is 5 x 5 x 5 x 5 x 11.

• What is prime factorization of 6875 in exponential form?

  Prime factorization of 6875 in exponential form is 5⁴ x 11.

• Is 6875 a prime number?

  false, 6875 is not a prime number.

• Which is the largest prime factors of 6875?

  The largest prime factor of 6875 is 11.

• What is the product of all prime factors of 6875?

  Prime factors of 6875 are 5 x 5 x 5 x 5 x 11. Therefore, their product is 6875.

• What is the sum of all odd prime factors of 6875?

  Prime factors of 6875 are 5 , 5 , 5 , 5 , 11, out of which 5 , 5 , 5 , 5 , 11 are odd numbers. So, the sum of odd prime factors of 6875 is 5 + 5 + 5 + 5 + 11 = 31.

• What is the product of all odd prime factors of 6875?

  Prime factors of 6875 are 5 , 5 , 5 , 5 , 11, out of which 5 , 5 , 5 , 5 , 11 are odd numbers. So, the product of odd prime factors of 6875 is 5 x 5 x 5 x 5 x 11 = 6875.