Prime Factors of 12167

Steps to find Prime Factors of 12167 by Division Method

To find the primefactors of 12167 using the division method, follow these steps:

• Step 1. Start dividing 12167 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 12167, which is 23. Divide 12167 by 23 to obtain the quotient (529).
  12167 ÷ 23 = 529
• Step 3. Repeat step 1 with the obtained quotient (529).
  529 ÷ 23 = 23
  23 ÷ 23 = 1

So, the prime factorization of 12167 is, 12167 = 23 x 23 x 23.

Steps to find Prime Factors of 12167 by Factor Tree Method

We can follow the same procedure using the factor tree of 12167 as shown below:

So, the prime factorization of 12167 is, 12167 = 23 x 23 x 23.

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 12167 are 23 x 23 x 23.

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 12167 but not a prime factor of 12167.

Frequently Asked Questions

• Which is the smallest prime factor of 12167?

  Smallest prime factor of 12167 is 23.

• What are the factors of 12167?

  Factors of 12167 are 1 , 23 , 529 , 12167.

• What is prime factorization of 12167 in exponential form?

  Prime factorization of 12167 in exponential form is 23³.

• Is 12167 a prime number or a composite number?

  12167 is a composite number.

• Is 12167 a prime number?

  false, 12167 is not a prime number.

• What is the sum of all prime factors of 12167?

  Prime factors of 12167 are 23 x 23 x 23. Therefore, their sum is 69.

• What is the product of all prime factors of 12167?

  Prime factors of 12167 are 23 x 23 x 23. Therefore, their product is 12167.

• What numbers are the prime factors of 12167?

  Prime factors of 12167 are 23 , 23 , 23.

• What is the sum of all odd prime factors of 12167?

  Prime factors of 12167 are 23 , 23 , 23, out of which 23 , 23 , 23 are odd numbers. So, the sum of odd prime factors of 12167 is 23 + 23 + 23 = 69.