Prime Factors of 713

Steps to find Prime Factors of 713 by Division Method

To find the primefactors of 713 using the division method, follow these steps:

• Step 1. Start dividing 713 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 713, which is 23. Divide 713 by 23 to obtain the quotient (31).
  713 ÷ 23 = 31
• Step 3. Repeat step 1 with the obtained quotient (31).
  31 ÷ 31 = 1

So, the prime factorization of 713 is, 713 = 23 x 31.

Steps to find Prime Factors of 713 by Factor Tree Method

We can follow the same procedure using the factor tree of 713 as shown below:

So, the prime factorization of 713 is, 713 = 23 x 31.

What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 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 713 are 23 x 31.

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 713 but not a prime factor of 713.

Frequently Asked Questions

• Which is the smallest prime factor of 713?

  Smallest prime factor of 713 is 23.

• What is the prime factorization of 713?

  Prime factorization of 713 is 23 x 31.

• What is prime factorization of 713 in exponential form?

  Prime factorization of 713 in exponential form is 23 x 31.

• Is 713 a prime number or a composite number?

  713 is a composite number.

• Is 713 a prime number?

  false, 713 is not a prime number.

• How to find prime factorization of 713 easily?

  To find prime factorization of 713 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 713?

  The largest prime factor of 713 is 31.

• What is the product of all prime factors of 713?

  Prime factors of 713 are 23 x 31. Therefore, their product is 713.

• What is the sum of all odd prime factors of 713?

  Prime factors of 713 are 23 , 31, out of which 23 , 31 are odd numbers. So, the sum of odd prime factors of 713 is 23 + 31 = 54.