Prime Factors of 722

Steps to find Prime Factors of 722 by Division Method

To find the primefactors of 722 using the division method, follow these steps:

• Step 1. Start dividing 722 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 722, which is 2. Divide 722 by 2 to obtain the quotient (361).
  722 ÷ 2 = 361
• Step 3. Repeat step 1 with the obtained quotient (361).
  361 ÷ 19 = 19
  19 ÷ 19 = 1

So, the prime factorization of 722 is, 722 = 2 x 19 x 19.

Steps to find Prime Factors of 722 by Factor Tree Method

We can follow the same procedure using the factor tree of 722 as shown below:

So, the prime factorization of 722 is, 722 = 2 x 19 x 19.

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 722 are 2 x 19 x 19.

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 722 but not a prime factor of 722.

Frequently Asked Questions

• Is 722 a prime number?

  false, 722 is not a prime number.

• How to find prime factorization of 722 easily?

  To find prime factorization of 722 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 722?

  The largest prime factor of 722 is 19.

• What is the sum of all prime factors of 722?

  Prime factors of 722 are 2 x 19 x 19. Therefore, their sum is 40.

• What is the product of all prime factors of 722?

  Prime factors of 722 are 2 x 19 x 19. Therefore, their product is 722.

• What numbers are the prime factors of 722?

  Prime factors of 722 are 2 , 19 , 19.

• What is the sum of all odd prime factors of 722?

  Prime factors of 722 are 2 , 19 , 19, out of which 19 , 19 are odd numbers. So, the sum of odd prime factors of 722 is 19 + 19 = 38.

• Is there any even prime factor of 722?

  Yes there is a even prime factor of 722.

• What is the product of all odd prime factors of 722?

  Prime factors of 722 are 2 , 19 , 19, out of which 19 , 19 are odd numbers. So, the product of odd prime factors of 722 is 19 x 19 = 361.