Steps to find Prime Factors of 1093 by Division Method

To find the primefactors of 1093 using the division method, follow these steps:

  • Step 1. Start dividing 1093 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 1093, which is 1093. Divide 1093 by 1093 to obtain the quotient (1).
    1093 ÷ 1093 = 1
  • Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 1093 is, 1093 = 1093.

Steps to find Prime Factors of 1093 by Factor Tree Method

We can follow the same procedure using the factor tree of 1093 as shown below:

So, the prime factorization of 1093 is, 1093 = 1093.

What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 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 1093 are 1093.

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 1093 but not a prime factor of 1093.

Frequently Asked Questions

  • Which is the smallest prime factor of 1093?

    Smallest prime factor of 1093 is 1093.

  • Is 1093 a perfect square?

    No 1093 is not a perfect square.

  • What is the prime factorization of 1093?

    Prime factorization of 1093 is 1093.

  • What are the factors of 1093?

    Factors of 1093 are 1 , 1093.

  • What is prime factorization of 1093 in exponential form?

    Prime factorization of 1093 in exponential form is 1093.

  • Is 1093 a prime number or a composite number?

    1093 is a prime number.

  • Is 1093 a prime number?

    true, 1093 is a prime number.

  • How to find prime factorization of 1093 easily?

    To find prime factorization of 1093 easily you can refer to the steps given on this page step by step.

  • Which is the largest prime factors of 1093?

    The largest prime factor of 1093 is 1093.