Prime Factors of 726

Steps to find Prime Factors of 726 by Division Method

To find the primefactors of 726 using the division method, follow these steps:

• Step 1. Start dividing 726 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 726, which is 2. Divide 726 by 2 to obtain the quotient (363).
  726 ÷ 2 = 363
• Step 3. Repeat step 1 with the obtained quotient (363).
  363 ÷ 3 = 121
  121 ÷ 11 = 11
  11 ÷ 11 = 1

So, the prime factorization of 726 is, 726 = 2 x 3 x 11 x 11.

Steps to find Prime Factors of 726 by Factor Tree Method

We can follow the same procedure using the factor tree of 726 as shown below:

So, the prime factorization of 726 is, 726 = 2 x 3 x 11 x 11.

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 726 are 2 x 3 x 11 x 11.

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 726 but not a prime factor of 726.

Frequently Asked Questions

• Which is the smallest prime factor of 726?

  Smallest prime factor of 726 is 2.

• Is 726 a perfect square?

  No 726 is not a perfect square.

• What is the prime factorization of 726?

  Prime factorization of 726 is 2 x 3 x 11 x 11.

• What are the factors of 726?

  Factors of 726 are 1 , 2 , 3 , 6 , 11 , 22 , 33 , 66 , 121 , 242 , 363 , 726.

• What is the product of all prime factors of 726?

  Prime factors of 726 are 2 x 3 x 11 x 11. Therefore, their product is 726.

• What numbers are the prime factors of 726?

  Prime factors of 726 are 2 , 3 , 11 , 11.

• What is the sum of all odd prime factors of 726?

  Prime factors of 726 are 2 , 3 , 11 , 11, out of which 3 , 11 , 11 are odd numbers. So, the sum of odd prime factors of 726 is 3 + 11 + 11 = 25.

• Is there any even prime factor of 726?

  Yes there is a even prime factor of 726.

• What is the product of all odd prime factors of 726?

  Prime factors of 726 are 2 , 3 , 11 , 11, out of which 3 , 11 , 11 are odd numbers. So, the product of odd prime factors of 726 is 3 x 11 x 11 = 363.