Prime Factors of 686

Steps to find Prime Factors of 686 by Division Method

To find the primefactors of 686 using the division method, follow these steps:

• Step 1. Start dividing 686 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 686, which is 2. Divide 686 by 2 to obtain the quotient (343).
  686 ÷ 2 = 343
• Step 3. Repeat step 1 with the obtained quotient (343).
  343 ÷ 7 = 49
  49 ÷ 7 = 7
  7 ÷ 7 = 1

So, the prime factorization of 686 is, 686 = 2 x 7 x 7 x 7.

Steps to find Prime Factors of 686 by Factor Tree Method

We can follow the same procedure using the factor tree of 686 as shown below:

So, the prime factorization of 686 is, 686 = 2 x 7 x 7 x 7.

Introduction to Prime Factors?

In mathematics, prime numbers are defined as all those natural numbers greater than 1 that has only two divisors one being number 1 and the other being the number itself. When we express any number as the products of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 686 are 2 x 7 x 7 x 7.

Properties of Prime Factors

• Two prime factors of a given number are always coprime to each other.
• 2 is the only even prime factor any number can have.
• Two prime factors 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 686 but not a prime factor of 686.

Frequently Asked Questions

• Which is the smallest prime factor of 686?

  Smallest prime factor of 686 is 2.

• Is 686 a perfect square?

  No 686 is not a perfect square.

• What is the prime factorization of 686?

  Prime factorization of 686 is 2 x 7 x 7 x 7.

• What are the factors of 686?

  Factors of 686 are 1 , 2 , 7 , 14 , 49 , 98 , 343 , 686.

• What is the product of all prime factors of 686?

  Prime factors of 686 are 2 x 7 x 7 x 7. Therefore, their product is 686.

• What numbers are the prime factors of 686?

  Prime factors of 686 are 2 , 7 , 7 , 7.

• What is the sum of all odd prime factors of 686?

  Prime factors of 686 are 2 , 7 , 7 , 7, out of which 7 , 7 , 7 are odd numbers. So, the sum of odd prime factors of 686 is 7 + 7 + 7 = 21.

• Is there any even prime factor of 686?

  Yes there is a even prime factor of 686.

• What is the product of all odd prime factors of 686?

  Prime factors of 686 are 2 , 7 , 7 , 7, out of which 7 , 7 , 7 are odd numbers. So, the product of odd prime factors of 686 is 7 x 7 x 7 = 343.