Prime Factors of 16807

Steps to find Prime Factors of 16807 by Division Method

To find the primefactors of 16807 using the division method, follow these steps:

• Step 1. Start dividing 16807 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 16807, which is 7. Divide 16807 by 7 to obtain the quotient (2401).
  16807 ÷ 7 = 2401
• Step 3. Repeat step 1 with the obtained quotient (2401).
  2401 ÷ 7 = 343
  343 ÷ 7 = 49
  49 ÷ 7 = 7
  7 ÷ 7 = 1

So, the prime factorization of 16807 is, 16807 = 7 x 7 x 7 x 7 x 7.

Steps to find Prime Factors of 16807 by Factor Tree Method

We can follow the same procedure using the factor tree of 16807 as shown below:

So, the prime factorization of 16807 is, 16807 = 7 x 7 x 7 x 7 x 7.

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 16807 are 7 x 7 x 7 x 7 x 7.

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 16807 but not a prime factor of 16807.

Frequently Asked Questions

• Which is the smallest prime factor of 16807?

  Smallest prime factor of 16807 is 7.

• What are the factors of 16807?

  Factors of 16807 are 1 , 7 , 49 , 343 , 2401 , 16807.

• What is prime factorization of 16807 in exponential form?

  Prime factorization of 16807 in exponential form is 7⁵.

• Is 16807 a prime number or a composite number?

  16807 is a composite number.

• Is 16807 a prime number?

  false, 16807 is not a prime number.

• What is the sum of all prime factors of 16807?

  Prime factors of 16807 are 7 x 7 x 7 x 7 x 7. Therefore, their sum is 35.

• What is the product of all prime factors of 16807?

  Prime factors of 16807 are 7 x 7 x 7 x 7 x 7. Therefore, their product is 16807.

• What numbers are the prime factors of 16807?

  Prime factors of 16807 are 7 , 7 , 7 , 7 , 7.

• What is the sum of all odd prime factors of 16807?

  Prime factors of 16807 are 7 , 7 , 7 , 7 , 7, out of which 7 , 7 , 7 , 7 , 7 are odd numbers. So, the sum of odd prime factors of 16807 is 7 + 7 + 7 + 7 + 7 = 35.