Prime Factors of 217

Steps to find Prime Factors of 217 by Division Method

To find the primefactors of 217 using the division method, follow these steps:

• Step 1. Start dividing 217 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 217, which is 7. Divide 217 by 7 to obtain the quotient (31).
  217 ÷ 7 = 31
• Step 3. Repeat step 1 with the obtained quotient (31).
  31 ÷ 31 = 1

So, the prime factorization of 217 is, 217 = 7 x 31.

Steps to find Prime Factors of 217 by Factor Tree Method

We can follow the same procedure using the factor tree of 217 as shown below:

So, the prime factorization of 217 is, 217 = 7 x 31.

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 217 are 7 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 217 but not a prime factor of 217.

Frequently Asked Questions

• Which is the smallest prime factor of 217?

  Smallest prime factor of 217 is 7.

• What is the prime factorization of 217?

  Prime factorization of 217 is 7 x 31.

• What is prime factorization of 217 in exponential form?

  Prime factorization of 217 in exponential form is 7 x 31.

• Is 217 a prime number or a composite number?

  217 is a composite number.

• Is 217 a prime number?

  false, 217 is not a prime number.

• How to find prime factorization of 217 easily?

  To find prime factorization of 217 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 217?

  The largest prime factor of 217 is 31.

• What is the product of all prime factors of 217?

  Prime factors of 217 are 7 x 31. Therefore, their product is 217.

• What is the sum of all odd prime factors of 217?

  Prime factors of 217 are 7 , 31, out of which 7 , 31 are odd numbers. So, the sum of odd prime factors of 217 is 7 + 31 = 38.