Prime Factors of 24167

Steps to find Prime Factors of 24167 by Division Method

To find the primefactors of 24167 using the division method, follow these steps:

• Step 1. Start dividing 24167 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 24167, which is 11. Divide 24167 by 11 to obtain the quotient (2197).
  24167 ÷ 11 = 2197
• Step 3. Repeat step 1 with the obtained quotient (2197).
  2197 ÷ 13 = 169
  169 ÷ 13 = 13
  13 ÷ 13 = 1

So, the prime factorization of 24167 is, 24167 = 11 x 13 x 13 x 13.

Steps to find Prime Factors of 24167 by Factor Tree Method

We can follow the same procedure using the factor tree of 24167 as shown below:

So, the prime factorization of 24167 is, 24167 = 11 x 13 x 13 x 13.

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 24167 are 11 x 13 x 13 x 13.

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 24167 but not a prime factor of 24167.

Frequently Asked Questions

• Which is the smallest prime factor of 24167?

  Smallest prime factor of 24167 is 11.

• What are the factors of 24167?

  Factors of 24167 are 1 , 11 , 13 , 143 , 169 , 1859 , 2197 , 24167.

• What is prime factorization of 24167 in exponential form?

  Prime factorization of 24167 in exponential form is 11 x 13³.

• Is 24167 a prime number or a composite number?

  24167 is a composite number.

• Is 24167 a prime number?

  false, 24167 is not a prime number.

• What is the sum of all prime factors of 24167?

  Prime factors of 24167 are 11 x 13 x 13 x 13. Therefore, their sum is 50.

• What is the product of all prime factors of 24167?

  Prime factors of 24167 are 11 x 13 x 13 x 13. Therefore, their product is 24167.

• What numbers are the prime factors of 24167?

  Prime factors of 24167 are 11 , 13 , 13 , 13.

• What is the sum of all odd prime factors of 24167?

  Prime factors of 24167 are 11 , 13 , 13 , 13, out of which 11 , 13 , 13 , 13 are odd numbers. So, the sum of odd prime factors of 24167 is 11 + 13 + 13 + 13 = 50.