Prime Factors of 58125

Steps to find Prime Factors of 58125 by Division Method

To find the primefactors of 58125 using the division method, follow these steps:

• Step 1. Start dividing 58125 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 58125, which is 3. Divide 58125 by 3 to obtain the quotient (19375).
  58125 ÷ 3 = 19375
• Step 3. Repeat step 1 with the obtained quotient (19375).
  19375 ÷ 5 = 3875
  3875 ÷ 5 = 775
  775 ÷ 5 = 155
  155 ÷ 5 = 31
  31 ÷ 31 = 1

So, the prime factorization of 58125 is, 58125 = 3 x 5 x 5 x 5 x 5 x 31.

Steps to find Prime Factors of 58125 by Factor Tree Method

We can follow the same procedure using the factor tree of 58125 as shown below:

So, the prime factorization of 58125 is, 58125 = 3 x 5 x 5 x 5 x 5 x 31.

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 58125 are 3 x 5 x 5 x 5 x 5 x 31.

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 58125 but not a prime factor of 58125.

Frequently Asked Questions

• Which is the smallest prime factor of 58125?

  Smallest prime factor of 58125 is 3.

• Is 58125 a perfect square?

  No 58125 is not a perfect square.

• What is the prime factorization of 58125?

  Prime factorization of 58125 is 3 x 5 x 5 x 5 x 5 x 31.

• What are the factors of 58125?

  Factors of 58125 are 1 , 3 , 5 , 15 , 25 , 31 , 75 , 93 , 125 , 155 , 375 , 465 , 625 , 775 , 1875 , 2325 , 3875 , 11625 , 19375 , 58125.

• What is prime factorization of 58125 in exponential form?

  Prime factorization of 58125 in exponential form is 3 x 5⁴ x 31.

• Is 58125 a prime number or a composite number?

  58125 is a composite number.

• Is 58125 a prime number?

  false, 58125 is not a prime number.

• How to find prime factorization of 58125 easily?

  To find prime factorization of 58125 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 58125?

  The largest prime factor of 58125 is 31.