Steps to find Prime Factors of 4275 by Division Method

To find the primefactors of 4275 using the division method, follow these steps:

  • Step 1. Start dividing 4275 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 4275, which is 3. Divide 4275 by 3 to obtain the quotient (1425).
    4275 ÷ 3 = 1425
  • Step 3. Repeat step 1 with the obtained quotient (1425).
    1425 ÷ 3 = 475
    475 ÷ 5 = 95
    95 ÷ 5 = 19
    19 ÷ 19 = 1

So, the prime factorization of 4275 is, 4275 = 3 x 3 x 5 x 5 x 19.

Steps to find Prime Factors of 4275 by Factor Tree Method

We can follow the same procedure using the factor tree of 4275 as shown below:

So, the prime factorization of 4275 is, 4275 = 3 x 3 x 5 x 5 x 19.

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 4275 are 3 x 3 x 5 x 5 x 19.

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 4275 but not a prime factor of 4275.

Frequently Asked Questions

  • Which is the smallest prime factor of 4275?

    Smallest prime factor of 4275 is 3.

  • Is 4275 a perfect square?

    No 4275 is not a perfect square.

  • What is the prime factorization of 4275?

    Prime factorization of 4275 is 3 x 3 x 5 x 5 x 19.

  • What is prime factorization of 4275 in exponential form?

    Prime factorization of 4275 in exponential form is 32 x 52 x 19.

  • Is 4275 a prime number?

    false, 4275 is not a prime number.

  • Which is the largest prime factors of 4275?

    The largest prime factor of 4275 is 19.

  • What is the product of all prime factors of 4275?

    Prime factors of 4275 are 3 x 3 x 5 x 5 x 19. Therefore, their product is 4275.

  • What is the sum of all odd prime factors of 4275?

    Prime factors of 4275 are 3 , 3 , 5 , 5 , 19, out of which 3 , 3 , 5 , 5 , 19 are odd numbers. So, the sum of odd prime factors of 4275 is 3 + 3 + 5 + 5 + 19 = 35.

  • What is the product of all odd prime factors of 4275?

    Prime factors of 4275 are 3 , 3 , 5 , 5 , 19, out of which 3 , 3 , 5 , 5 , 19 are odd numbers. So, the product of odd prime factors of 4275 is 3 x 3 x 5 x 5 x 19 = 4275.