Steps to find Prime Factors of 1097 by Division Method

To find the primefactors of 1097 using the division method, follow these steps:

  • Step 1. Start dividing 1097 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 1097, which is 1097. Divide 1097 by 1097 to obtain the quotient (1).
    1097 ÷ 1097 = 1
  • Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 1097 is, 1097 = 1097.

Steps to find Prime Factors of 1097 by Factor Tree Method

We can follow the same procedure using the factor tree of 1097 as shown below:

So, the prime factorization of 1097 is, 1097 = 1097.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 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 1097 are 1097.

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 1097 but not a prime factor of 1097.

Frequently Asked Questions

  • Which is the smallest prime factor of 1097?

    Smallest prime factor of 1097 is 1097.

  • What is the prime factorization of 1097?

    Prime factorization of 1097 is 1097.

  • What is prime factorization of 1097 in exponential form?

    Prime factorization of 1097 in exponential form is 1097.

  • Is 1097 a prime number or a composite number?

    1097 is a prime number.

  • Is 1097 a prime number?

    true, 1097 is a prime number.

  • How to find prime factorization of 1097 easily?

    To find prime factorization of 1097 easily you can refer to the steps given on this page step by step.

  • Which is the largest prime factors of 1097?

    The largest prime factor of 1097 is 1097.

  • What is the product of all prime factors of 1097?

    Prime factors of 1097 are 1097. Therefore, their product is 1097.

  • What is the sum of all odd prime factors of 1097?

    Prime factors of 1097 are 1097, out of which 1097 are odd numbers. So, the sum of odd prime factors of 1097 is 1097 = 1097.