Prime Factors of 175

Steps to find Prime Factors of 175 by Division Method

To find the primefactors of 175 using the division method, follow these steps:

• Step 1. Start dividing 175 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 175, which is 5. Divide 175 by 5 to obtain the quotient (35).
  175 ÷ 5 = 35
• Step 3. Repeat step 1 with the obtained quotient (35).
  35 ÷ 5 = 7
  7 ÷ 7 = 1

So, the prime factorization of 175 is, 175 = 5 x 5 x 7.

Steps to find Prime Factors of 175 by Factor Tree Method

We can follow the same procedure using the factor tree of 175 as shown below:

So, the prime factorization of 175 is, 175 = 5 x 5 x 7.

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 175 are 5 x 5 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 175 but not a prime factor of 175.

Frequently Asked Questions

• Which is the smallest prime factor of 175?

  Smallest prime factor of 175 is 5.

• What are the factors of 175?

  Factors of 175 are 1 , 5 , 7 , 25 , 35 , 175.

• What is prime factorization of 175 in exponential form?

  Prime factorization of 175 in exponential form is 5² x 7.

• Is 175 a prime number or a composite number?

  175 is a composite number.

• Is 175 a prime number?

  false, 175 is not a prime number.

• What is the sum of all prime factors of 175?

  Prime factors of 175 are 5 x 5 x 7. Therefore, their sum is 17.

• What is the product of all prime factors of 175?

  Prime factors of 175 are 5 x 5 x 7. Therefore, their product is 175.

• What numbers are the prime factors of 175?

  Prime factors of 175 are 5 , 5 , 7.

• What is the sum of all odd prime factors of 175?

  Prime factors of 175 are 5 , 5 , 7, out of which 5 , 5 , 7 are odd numbers. So, the sum of odd prime factors of 175 is 5 + 5 + 7 = 17.