Prime Factors of 676

Steps to find Prime Factors of 676 by Division Method

To find the primefactors of 676 using the division method, follow these steps:

• Step 1. Start dividing 676 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 676, which is 2. Divide 676 by 2 to obtain the quotient (338).
  676 ÷ 2 = 338
• Step 3. Repeat step 1 with the obtained quotient (338).
  338 ÷ 2 = 169
  169 ÷ 13 = 13
  13 ÷ 13 = 1

So, the prime factorization of 676 is, 676 = 2 x 2 x 13 x 13.

Steps to find Prime Factors of 676 by Factor Tree Method

We can follow the same procedure using the factor tree of 676 as shown below:

So, the prime factorization of 676 is, 676 = 2 x 2 x 13 x 13.

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 676 are 2 x 2 x 13 x 13.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 676 but not a prime factor of 676.

Frequently Asked Questions

• Which is the smallest prime factor of 676?

  Smallest prime factor of 676 is 2.

• What is the prime factorization of 676?

  Prime factorization of 676 is 2 x 2 x 13 x 13.

• What are the factors of 676?

  Factors of 676 are 1 , 2 , 4 , 13 , 26 , 52 , 169 , 338 , 676.

• Is 676 a prime number or a composite number?

  676 is a composite number.

• Is 676 a prime number?

  false, 676 is not a prime number.

• Which is the largest prime factors of 676?

  The largest prime factor of 676 is 13.

• What is the sum of all prime factors of 676?

  Prime factors of 676 are 2 x 2 x 13 x 13. Therefore, their sum is 30.

• What numbers are the prime factors of 676?

  Prime factors of 676 are 2 , 2 , 13 , 13.

• What is the sum of all odd prime factors of 676?

  Prime factors of 676 are 2 , 2 , 13 , 13, out of which 13 , 13 are odd numbers. So, the sum of odd prime factors of 676 is 13 + 13 = 26.