Prime Factors of 1095

Steps to find Prime Factors of 1095 by Division Method

To find the primefactors of 1095 using the division method, follow these steps:

• Step 1. Start dividing 1095 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 1095, which is 3. Divide 1095 by 3 to obtain the quotient (365).
  1095 ÷ 3 = 365
• Step 3. Repeat step 1 with the obtained quotient (365).
  365 ÷ 5 = 73
  73 ÷ 73 = 1

So, the prime factorization of 1095 is, 1095 = 3 x 5 x 73.

Steps to find Prime Factors of 1095 by Factor Tree Method

We can follow the same procedure using the factor tree of 1095 as shown below:

So, the prime factorization of 1095 is, 1095 = 3 x 5 x 73.

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 1095 are 3 x 5 x 73.

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 1095 but not a prime factor of 1095.

Frequently Asked Questions

• Which is the smallest prime factor of 1095?

  Smallest prime factor of 1095 is 3.

• What are the factors of 1095?

  Factors of 1095 are 1 , 3 , 5 , 15 , 73 , 219 , 365 , 1095.

• What is prime factorization of 1095 in exponential form?

  Prime factorization of 1095 in exponential form is 3 x 5 x 73.

• Is 1095 a prime number or a composite number?

  1095 is a composite number.

• Is 1095 a prime number?

  false, 1095 is not a prime number.

• What is the sum of all prime factors of 1095?

  Prime factors of 1095 are 3 x 5 x 73. Therefore, their sum is 81.

• What is the product of all prime factors of 1095?

  Prime factors of 1095 are 3 x 5 x 73. Therefore, their product is 1095.

• What numbers are the prime factors of 1095?

  Prime factors of 1095 are 3 , 5 , 73.

• What is the sum of all odd prime factors of 1095?

  Prime factors of 1095 are 3 , 5 , 73, out of which 3 , 5 , 73 are odd numbers. So, the sum of odd prime factors of 1095 is 3 + 5 + 73 = 81.