Prime Factors of 731

Steps to find Prime Factors of 731 by Division Method

To find the primefactors of 731 using the division method, follow these steps:

• Step 1. Start dividing 731 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 731, which is 17. Divide 731 by 17 to obtain the quotient (43).
  731 ÷ 17 = 43
• Step 3. Repeat step 1 with the obtained quotient (43).
  43 ÷ 43 = 1

So, the prime factorization of 731 is, 731 = 17 x 43.

Steps to find Prime Factors of 731 by Factor Tree Method

We can follow the same procedure using the factor tree of 731 as shown below:

So, the prime factorization of 731 is, 731 = 17 x 43.

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 731 are 17 x 43.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
• Two prime factors of a given number 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 731 but not a prime factor of 731.

Frequently Asked Questions

• Which is the smallest prime factor of 731?

  Smallest prime factor of 731 is 17.

• Is 731 a perfect square?

  No 731 is not a perfect square.

• What is the prime factorization of 731?

  Prime factorization of 731 is 17 x 43.

• What is prime factorization of 731 in exponential form?

  Prime factorization of 731 in exponential form is 17 x 43.

• Is 731 a prime number?

  false, 731 is not a prime number.

• Which is the largest prime factors of 731?

  The largest prime factor of 731 is 43.

• What is the product of all prime factors of 731?

  Prime factors of 731 are 17 x 43. Therefore, their product is 731.

• What is the sum of all odd prime factors of 731?

  Prime factors of 731 are 17 , 43, out of which 17 , 43 are odd numbers. So, the sum of odd prime factors of 731 is 17 + 43 = 60.

• What is the product of all odd prime factors of 731?

  Prime factors of 731 are 17 , 43, out of which 17 , 43 are odd numbers. So, the product of odd prime factors of 731 is 17 x 43 = 731.