Prime Factors of 697

Steps to find Prime Factors of 697 by Division Method

To find the primefactors of 697 using the division method, follow these steps:

• Step 1. Start dividing 697 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 697, which is 17. Divide 697 by 17 to obtain the quotient (41).
  697 ÷ 17 = 41
• Step 3. Repeat step 1 with the obtained quotient (41).
  41 ÷ 41 = 1

So, the prime factorization of 697 is, 697 = 17 x 41.

Steps to find Prime Factors of 697 by Factor Tree Method

We can follow the same procedure using the factor tree of 697 as shown below:

So, the prime factorization of 697 is, 697 = 17 x 41.

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 697 are 17 x 41.

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 697 but not a prime factor of 697.

Frequently Asked Questions

• Which is the smallest prime factor of 697?

  Smallest prime factor of 697 is 17.

• What is the prime factorization of 697?

  Prime factorization of 697 is 17 x 41.

• What is prime factorization of 697 in exponential form?

  Prime factorization of 697 in exponential form is 17 x 41.

• Is 697 a prime number or a composite number?

  697 is a composite number.

• Is 697 a prime number?

  false, 697 is not a prime number.

• How to find prime factorization of 697 easily?

  To find prime factorization of 697 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 697?

  The largest prime factor of 697 is 41.

• What is the product of all prime factors of 697?

  Prime factors of 697 are 17 x 41. Therefore, their product is 697.

• What is the sum of all odd prime factors of 697?

  Prime factors of 697 are 17 , 41, out of which 17 , 41 are odd numbers. So, the sum of odd prime factors of 697 is 17 + 41 = 58.