Prime Factors of 24389

Steps to find Prime Factors of 24389 by Division Method

To find the primefactors of 24389 using the division method, follow these steps:

• Step 1. Start dividing 24389 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 24389, which is 29. Divide 24389 by 29 to obtain the quotient (841).
  24389 ÷ 29 = 841
• Step 3. Repeat step 1 with the obtained quotient (841).
  841 ÷ 29 = 29
  29 ÷ 29 = 1

So, the prime factorization of 24389 is, 24389 = 29 x 29 x 29.

Steps to find Prime Factors of 24389 by Factor Tree Method

We can follow the same procedure using the factor tree of 24389 as shown below:

So, the prime factorization of 24389 is, 24389 = 29 x 29 x 29.

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 24389 are 29 x 29 x 29.

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 24389 but not a prime factor of 24389.

Frequently Asked Questions

• Which is the smallest prime factor of 24389?

  Smallest prime factor of 24389 is 29.

• Is 24389 a perfect square?

  No 24389 is not a perfect square.

• What is the prime factorization of 24389?

  Prime factorization of 24389 is 29 x 29 x 29.

• What are the factors of 24389?

  Factors of 24389 are 1 , 29 , 841 , 24389.

• What is prime factorization of 24389 in exponential form?

  Prime factorization of 24389 in exponential form is 29³.

• Is 24389 a prime number or a composite number?

  24389 is a composite number.

• Is 24389 a prime number?

  false, 24389 is not a prime number.

• How to find prime factorization of 24389 easily?

  To find prime factorization of 24389 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 24389?

  The largest prime factor of 24389 is 29.