# Prime Factors of 875

Prime Factors of 875 are 5, 5, 5, and 7

#### How to find prime factors of a number

 1.   Prime Factorization of 875 by Division Method 2.   Prime Factorization of 875 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 875 by Division Method

To find the primefactors of 875 using the division method, follow these steps:

• Step 1. Start dividing 875 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 875, which is 5. Divide 875 by 5 to obtain the quotient (175).
875 ÷ 5 = 175
• Step 3. Repeat step 1 with the obtained quotient (175).
175 ÷ 5 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1

So, the prime factorization of 875 is, 875 = 5 x 5 x 5 x 7.

#### Steps to find Prime Factors of 875 by Factor Tree Method

We can follow the same procedure using the factor tree of 875 as shown below:

So, the prime factorization of 875 is, 875 = 5 x 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 875 are 5 x 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 875 but not a prime factor of 875.

• Which is the smallest prime factor of 875?

Smallest prime factor of 875 is 5.

• Is 875 a perfect square?

No 875 is not a perfect square.

• What is the prime factorization of 875?

Prime factorization of 875 is 5 x 5 x 5 x 7.

• What is prime factorization of 875 in exponential form?

Prime factorization of 875 in exponential form is 53 x 7.

• Is 875 a prime number?

false, 875 is not a prime number.

• Which is the largest prime factors of 875?

The largest prime factor of 875 is 7.

• What is the product of all prime factors of 875?

Prime factors of 875 are 5 x 5 x 5 x 7. Therefore, their product is 875.

• What is the sum of all odd prime factors of 875?

Prime factors of 875 are 5 , 5 , 5 , 7, out of which 5 , 5 , 5 , 7 are odd numbers. So, the sum of odd prime factors of 875 is 5 + 5 + 5 + 7 = 22.

• What is the product of all odd prime factors of 875?

Prime factors of 875 are 5 , 5 , 5 , 7, out of which 5 , 5 , 5 , 7 are odd numbers. So, the product of odd prime factors of 875 is 5 x 5 x 5 x 7 = 875.