Prime Factors of 4725

Steps to find Prime Factors of 4725 by Division Method

To find the primefactors of 4725 using the division method, follow these steps:

• Step 1. Start dividing 4725 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 4725, which is 3. Divide 4725 by 3 to obtain the quotient (1575).
  4725 ÷ 3 = 1575
• Step 3. Repeat step 1 with the obtained quotient (1575).
  1575 ÷ 3 = 525
  525 ÷ 3 = 175
  175 ÷ 5 = 35
  35 ÷ 5 = 7
  7 ÷ 7 = 1

So, the prime factorization of 4725 is, 4725 = 3 x 3 x 3 x 5 x 5 x 7.

Steps to find Prime Factors of 4725 by Factor Tree Method

We can follow the same procedure using the factor tree of 4725 as shown below:

So, the prime factorization of 4725 is, 4725 = 3 x 3 x 3 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 4725 are 3 x 3 x 3 x 5 x 5 x 7.

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 4725 but not a prime factor of 4725.

Frequently Asked Questions

• Which is the smallest prime factor of 4725?

  Smallest prime factor of 4725 is 3.

• Is 4725 a perfect square?

  No 4725 is not a perfect square.

• What is the prime factorization of 4725?

  Prime factorization of 4725 is 3 x 3 x 3 x 5 x 5 x 7.

• What are the factors of 4725?

  Factors of 4725 are 1 , 3 , 5 , 7 , 9 , 15 , 21 , 25 , 27 , 35 , 45 , 63 , 75 , 105 , 135 , 175 , 189 , 225 , 315 , 525 , 675 , 945 , 1575 , 4725.

• What is prime factorization of 4725 in exponential form?

  Prime factorization of 4725 in exponential form is 3³ x 5² x 7.

• Is 4725 a prime number or a composite number?

  4725 is a composite number.

• Is 4725 a prime number?

  false, 4725 is not a prime number.

• How to find prime factorization of 4725 easily?

  To find prime factorization of 4725 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 4725?

  The largest prime factor of 4725 is 7.