Prime Factors of 2975

Steps to find Prime Factors of 2975 by Division Method

To find the primefactors of 2975 using the division method, follow these steps:

• Step 1. Start dividing 2975 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 2975, which is 5. Divide 2975 by 5 to obtain the quotient (595).
  2975 ÷ 5 = 595
• Step 3. Repeat step 1 with the obtained quotient (595).
  595 ÷ 5 = 119
  119 ÷ 7 = 17
  17 ÷ 17 = 1

So, the prime factorization of 2975 is, 2975 = 5 x 5 x 7 x 17.

Steps to find Prime Factors of 2975 by Factor Tree Method

We can follow the same procedure using the factor tree of 2975 as shown below:

So, the prime factorization of 2975 is, 2975 = 5 x 5 x 7 x 17.

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 2975 are 5 x 5 x 7 x 17.

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 2975 but not a prime factor of 2975.

Frequently Asked Questions

• Which is the smallest prime factor of 2975?

  Smallest prime factor of 2975 is 5.

• What are the factors of 2975?

  Factors of 2975 are 1 , 5 , 7 , 17 , 25 , 35 , 85 , 119 , 175 , 425 , 595 , 2975.

• What is prime factorization of 2975 in exponential form?

  Prime factorization of 2975 in exponential form is 5² x 7 x 17.

• Is 2975 a prime number or a composite number?

  2975 is a composite number.

• Is 2975 a prime number?

  false, 2975 is not a prime number.

• What is the sum of all prime factors of 2975?

  Prime factors of 2975 are 5 x 5 x 7 x 17. Therefore, their sum is 34.

• What is the product of all prime factors of 2975?

  Prime factors of 2975 are 5 x 5 x 7 x 17. Therefore, their product is 2975.

• What numbers are the prime factors of 2975?

  Prime factors of 2975 are 5 , 5 , 7 , 17.

• What is the sum of all odd prime factors of 2975?

  Prime factors of 2975 are 5 , 5 , 7 , 17, out of which 5 , 5 , 7 , 17 are odd numbers. So, the sum of odd prime factors of 2975 is 5 + 5 + 7 + 17 = 34.