Prime Factors of 714

Steps to find Prime Factors of 714 by Division Method

To find the primefactors of 714 using the division method, follow these steps:

• Step 1. Start dividing 714 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 714, which is 2. Divide 714 by 2 to obtain the quotient (357).
  714 ÷ 2 = 357
• Step 3. Repeat step 1 with the obtained quotient (357).
  357 ÷ 3 = 119
  119 ÷ 7 = 17
  17 ÷ 17 = 1

So, the prime factorization of 714 is, 714 = 2 x 3 x 7 x 17.

Steps to find Prime Factors of 714 by Factor Tree Method

We can follow the same procedure using the factor tree of 714 as shown below:

So, the prime factorization of 714 is, 714 = 2 x 3 x 7 x 17.

What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 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 714 are 2 x 3 x 7 x 17.

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 714 but not a prime factor of 714.

Frequently Asked Questions

• Is 714 a prime number?

  false, 714 is not a prime number.

• How to find prime factorization of 714 easily?

  To find prime factorization of 714 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 714?

  The largest prime factor of 714 is 17.

• What is the sum of all prime factors of 714?

  Prime factors of 714 are 2 x 3 x 7 x 17. Therefore, their sum is 29.

• What is the product of all prime factors of 714?

  Prime factors of 714 are 2 x 3 x 7 x 17. Therefore, their product is 714.

• What numbers are the prime factors of 714?

  Prime factors of 714 are 2 , 3 , 7 , 17.

• What is the sum of all odd prime factors of 714?

  Prime factors of 714 are 2 , 3 , 7 , 17, out of which 3 , 7 , 17 are odd numbers. So, the sum of odd prime factors of 714 is 3 + 7 + 17 = 27.

• Is there any even prime factor of 714?

  Yes there is a even prime factor of 714.

• What is the product of all odd prime factors of 714?

  Prime factors of 714 are 2 , 3 , 7 , 17, out of which 3 , 7 , 17 are odd numbers. So, the product of odd prime factors of 714 is 3 x 7 x 17 = 357.