Prime Factors of 5775

Steps to find Prime Factors of 5775 by Division Method

To find the primefactors of 5775 using the division method, follow these steps:

• Step 1. Start dividing 5775 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 5775, which is 3. Divide 5775 by 3 to obtain the quotient (1925).
  5775 ÷ 3 = 1925
• Step 3. Repeat step 1 with the obtained quotient (1925).
  1925 ÷ 5 = 385
  385 ÷ 5 = 77
  77 ÷ 7 = 11
  11 ÷ 11 = 1

So, the prime factorization of 5775 is, 5775 = 3 x 5 x 5 x 7 x 11.

Steps to find Prime Factors of 5775 by Factor Tree Method

We can follow the same procedure using the factor tree of 5775 as shown below:

So, the prime factorization of 5775 is, 5775 = 3 x 5 x 5 x 7 x 11.

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 5775 are 3 x 5 x 5 x 7 x 11.

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 5775 but not a prime factor of 5775.

Frequently Asked Questions

• Which is the smallest prime factor of 5775?

  Smallest prime factor of 5775 is 3.

• What are the factors of 5775?

  Factors of 5775 are 1 , 3 , 5 , 7 , 11 , 15 , 21 , 25 , 33 , 35 , 55 , 75 , 77 , 105 , 165 , 175 , 231 , 275 , 385 , 525 , 825 , 1155 , 1925 , 5775.

• What is prime factorization of 5775 in exponential form?

  Prime factorization of 5775 in exponential form is 3 x 5² x 7 x 11.

• Is 5775 a prime number or a composite number?

  5775 is a composite number.

• Is 5775 a prime number?

  false, 5775 is not a prime number.

• What is the sum of all prime factors of 5775?

  Prime factors of 5775 are 3 x 5 x 5 x 7 x 11. Therefore, their sum is 31.

• What is the product of all prime factors of 5775?

  Prime factors of 5775 are 3 x 5 x 5 x 7 x 11. Therefore, their product is 5775.

• What numbers are the prime factors of 5775?

  Prime factors of 5775 are 3 , 5 , 5 , 7 , 11.

• What is the sum of all odd prime factors of 5775?

  Prime factors of 5775 are 3 , 5 , 5 , 7 , 11, out of which 3 , 5 , 5 , 7 , 11 are odd numbers. So, the sum of odd prime factors of 5775 is 3 + 5 + 5 + 7 + 11 = 31.