Prime Factors of 11109

Steps to find Prime Factors of 11109 by Division Method

To find the primefactors of 11109 using the division method, follow these steps:

• Step 1. Start dividing 11109 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 11109, which is 3. Divide 11109 by 3 to obtain the quotient (3703).
  11109 ÷ 3 = 3703
• Step 3. Repeat step 1 with the obtained quotient (3703).
  3703 ÷ 7 = 529
  529 ÷ 23 = 23
  23 ÷ 23 = 1

So, the prime factorization of 11109 is, 11109 = 3 x 7 x 23 x 23.

Steps to find Prime Factors of 11109 by Factor Tree Method

We can follow the same procedure using the factor tree of 11109 as shown below:

So, the prime factorization of 11109 is, 11109 = 3 x 7 x 23 x 23.

What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 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 11109 are 3 x 7 x 23 x 23.

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 11109 but not a prime factor of 11109.

Frequently Asked Questions

• Which is the smallest prime factor of 11109?

  Smallest prime factor of 11109 is 3.

• Is 11109 a perfect square?

  No 11109 is not a perfect square.

• What is the prime factorization of 11109?

  Prime factorization of 11109 is 3 x 7 x 23 x 23.

• What are the factors of 11109?

  Factors of 11109 are 1 , 3 , 7 , 21 , 23 , 69 , 161 , 483 , 529 , 1587 , 3703 , 11109.

• What is prime factorization of 11109 in exponential form?

  Prime factorization of 11109 in exponential form is 3 x 7 x 23².

• Is 11109 a prime number or a composite number?

  11109 is a composite number.

• Is 11109 a prime number?

  false, 11109 is not a prime number.

• How to find prime factorization of 11109 easily?

  To find prime factorization of 11109 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 11109?

  The largest prime factor of 11109 is 23.