Prime Factors of 18207

Steps to find Prime Factors of 18207 by Division Method

To find the primefactors of 18207 using the division method, follow these steps:

• Step 1. Start dividing 18207 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 18207, which is 3. Divide 18207 by 3 to obtain the quotient (6069).
  18207 ÷ 3 = 6069
• Step 3. Repeat step 1 with the obtained quotient (6069).
  6069 ÷ 3 = 2023
  2023 ÷ 7 = 289
  289 ÷ 17 = 17
  17 ÷ 17 = 1

So, the prime factorization of 18207 is, 18207 = 3 x 3 x 7 x 17 x 17.

Steps to find Prime Factors of 18207 by Factor Tree Method

We can follow the same procedure using the factor tree of 18207 as shown below:

So, the prime factorization of 18207 is, 18207 = 3 x 3 x 7 x 17 x 17.

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 18207 are 3 x 3 x 7 x 17 x 17.

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 18207 but not a prime factor of 18207.

Frequently Asked Questions

• Which is the smallest prime factor of 18207?

  Smallest prime factor of 18207 is 3.

• What are the factors of 18207?

  Factors of 18207 are 1 , 3 , 7 , 9 , 17 , 21 , 51 , 63 , 119 , 153 , 289 , 357 , 867 , 1071 , 2023 , 2601 , 6069 , 18207.

• What is prime factorization of 18207 in exponential form?

  Prime factorization of 18207 in exponential form is 3² x 7 x 17².

• Is 18207 a prime number or a composite number?

  18207 is a composite number.

• Is 18207 a prime number?

  false, 18207 is not a prime number.

• What is the sum of all prime factors of 18207?

  Prime factors of 18207 are 3 x 3 x 7 x 17 x 17. Therefore, their sum is 47.

• What is the product of all prime factors of 18207?

  Prime factors of 18207 are 3 x 3 x 7 x 17 x 17. Therefore, their product is 18207.

• What numbers are the prime factors of 18207?

  Prime factors of 18207 are 3 , 3 , 7 , 17 , 17.

• What is the sum of all odd prime factors of 18207?

  Prime factors of 18207 are 3 , 3 , 7 , 17 , 17, out of which 3 , 3 , 7 , 17 , 17 are odd numbers. So, the sum of odd prime factors of 18207 is 3 + 3 + 7 + 17 + 17 = 47.