# Prime Factors of 210125

Prime Factors of 210125 are 5, 5, 5, 41, and 41

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

 1.   Prime Factorization of 210125 by Division Method 2.   Prime Factorization of 210125 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 210125 by Division Method

To find the primefactors of 210125 using the division method, follow these steps:

• Step 1. Start dividing 210125 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 210125, which is 5. Divide 210125 by 5 to obtain the quotient (42025).
210125 ÷ 5 = 42025
• Step 3. Repeat step 1 with the obtained quotient (42025).
42025 ÷ 5 = 8405
8405 ÷ 5 = 1681
1681 ÷ 41 = 41
41 ÷ 41 = 1

So, the prime factorization of 210125 is, 210125 = 5 x 5 x 5 x 41 x 41.

#### Steps to find Prime Factors of 210125 by Factor Tree Method

We can follow the same procedure using the factor tree of 210125 as shown below:

So, the prime factorization of 210125 is, 210125 = 5 x 5 x 5 x 41 x 41.

#### 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 210125 are 5 x 5 x 5 x 41 x 41.

#### Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 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 210125 but not a prime factor of 210125.

• Which is the smallest prime factor of 210125?

Smallest prime factor of 210125 is 5.

• Is 210125 a perfect square?

No 210125 is not a perfect square.

• What is the prime factorization of 210125?

Prime factorization of 210125 is 5 x 5 x 5 x 41 x 41.

• What are the factors of 210125?

Factors of 210125 are 1 , 5 , 25 , 41 , 125 , 205 , 1025 , 1681 , 5125 , 8405 , 42025 , 210125.

• What is prime factorization of 210125 in exponential form?

Prime factorization of 210125 in exponential form is 53 x 412.

• Is 210125 a prime number or a composite number?

210125 is a composite number.

• Is 210125 a prime number?

false, 210125 is not a prime number.

• How to find prime factorization of 210125 easily?

To find prime factorization of 210125 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 210125?

The largest prime factor of 210125 is 41.