Prime Factors of 721

Steps to find Prime Factors of 721 by Division Method

To find the primefactors of 721 using the division method, follow these steps:

• Step 1. Start dividing 721 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 721, which is 7. Divide 721 by 7 to obtain the quotient (103).
  721 ÷ 7 = 103
• Step 3. Repeat step 1 with the obtained quotient (103).
  103 ÷ 103 = 1

So, the prime factorization of 721 is, 721 = 7 x 103.

Steps to find Prime Factors of 721 by Factor Tree Method

We can follow the same procedure using the factor tree of 721 as shown below:

So, the prime factorization of 721 is, 721 = 7 x 103.

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 721 are 7 x 103.

Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 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 721 but not a prime factor of 721.

Frequently Asked Questions

• Which is the smallest prime factor of 721?

  Smallest prime factor of 721 is 7.

• What is the prime factorization of 721?

  Prime factorization of 721 is 7 x 103.

• What is prime factorization of 721 in exponential form?

  Prime factorization of 721 in exponential form is 7 x 103.

• Is 721 a prime number or a composite number?

  721 is a composite number.

• Is 721 a prime number?

  false, 721 is not a prime number.

• How to find prime factorization of 721 easily?

  To find prime factorization of 721 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 721?

  The largest prime factor of 721 is 103.

• What is the product of all prime factors of 721?

  Prime factors of 721 are 7 x 103. Therefore, their product is 721.

• What is the sum of all odd prime factors of 721?

  Prime factors of 721 are 7 , 103, out of which 7 , 103 are odd numbers. So, the sum of odd prime factors of 721 is 7 + 103 = 110.