Prime Factors of 847

Steps to find Prime Factors of 847 by Division Method

To find the primefactors of 847 using the division method, follow these steps:

• Step 1. Start dividing 847 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 847, which is 7. Divide 847 by 7 to obtain the quotient (121).
  847 ÷ 7 = 121
• Step 3. Repeat step 1 with the obtained quotient (121).
  121 ÷ 11 = 11
  11 ÷ 11 = 1

So, the prime factorization of 847 is, 847 = 7 x 11 x 11.

Steps to find Prime Factors of 847 by Factor Tree Method

We can follow the same procedure using the factor tree of 847 as shown below:

So, the prime factorization of 847 is, 847 = 7 x 11 x 11.

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 847 are 7 x 11 x 11.

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 847 but not a prime factor of 847.

Frequently Asked Questions

• Which is the smallest prime factor of 847?

  Smallest prime factor of 847 is 7.

• What are the factors of 847?

  Factors of 847 are 1 , 7 , 11 , 77 , 121 , 847.

• What is prime factorization of 847 in exponential form?

  Prime factorization of 847 in exponential form is 7 x 11².

• Is 847 a prime number or a composite number?

  847 is a composite number.

• Is 847 a prime number?

  false, 847 is not a prime number.

• What is the sum of all prime factors of 847?

  Prime factors of 847 are 7 x 11 x 11. Therefore, their sum is 29.

• What is the product of all prime factors of 847?

  Prime factors of 847 are 7 x 11 x 11. Therefore, their product is 847.

• What numbers are the prime factors of 847?

  Prime factors of 847 are 7 , 11 , 11.

• What is the sum of all odd prime factors of 847?

  Prime factors of 847 are 7 , 11 , 11, out of which 7 , 11 , 11 are odd numbers. So, the sum of odd prime factors of 847 is 7 + 11 + 11 = 29.