# Prime Factors of 125

Prime Factors of 125 are 5, 5, and 5

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

 1.   Prime Factorization of 125 by Division Method 2.   Prime Factorization of 125 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 125 by Division Method

To find the primefactors of 125 using the division method, follow these steps:

• Step 1. Start dividing 125 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 125, which is 5. Divide 125 by 5 to obtain the quotient (25).
125 ÷ 5 = 25
• Step 3. Repeat step 1 with the obtained quotient (25).
25 ÷ 5 = 5
5 ÷ 5 = 1

So, the prime factorization of 125 is, 125 = 5 x 5 x 5.

#### Steps to find Prime Factors of 125 by Factor Tree Method

We can follow the same procedure using the factor tree of 125 as shown below:

So, the prime factorization of 125 is, 125 = 5 x 5 x 5.

#### 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 125 are 5 x 5 x 5.

#### 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 125 but not a prime factor of 125.

• Which is the smallest prime factor of 125?

Smallest prime factor of 125 is 5.

• Is 125 a perfect square?

No 125 is not a perfect square.

• What is the prime factorization of 125?

Prime factorization of 125 is 5 x 5 x 5.

• What are the factors of 125?

Factors of 125 are 1 , 5 , 25 , 125.

• What is prime factorization of 125 in exponential form?

Prime factorization of 125 in exponential form is 53.

• Is 125 a prime number or a composite number?

125 is a composite number.

• Is 125 a prime number?

false, 125 is not a prime number.

• How to find prime factorization of 125 easily?

To find prime factorization of 125 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 125?

The largest prime factor of 125 is 5.