Prime Factors of 214

Steps to find Prime Factors of 214 by Division Method

To find the primefactors of 214 using the division method, follow these steps:

• Step 1. Start dividing 214 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 214, which is 2. Divide 214 by 2 to obtain the quotient (107).
  214 ÷ 2 = 107
• Step 3. Repeat step 1 with the obtained quotient (107).
  107 ÷ 107 = 1

So, the prime factorization of 214 is, 214 = 2 x 107.

Steps to find Prime Factors of 214 by Factor Tree Method

We can follow the same procedure using the factor tree of 214 as shown below:

So, the prime factorization of 214 is, 214 = 2 x 107.

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 214 are 2 x 107.

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 214 but not a prime factor of 214.

Frequently Asked Questions

• Which is the smallest prime factor of 214?

  Smallest prime factor of 214 is 2.

• Is 214 a perfect square?

  No 214 is not a perfect square.

• What is the prime factorization of 214?

  Prime factorization of 214 is 2 x 107.

• What are the factors of 214?

  Factors of 214 are 1 , 2 , 107 , 214.

• What is the product of all prime factors of 214?

  Prime factors of 214 are 2 x 107. Therefore, their product is 214.

• What numbers are the prime factors of 214?

  Prime factors of 214 are 2 , 107.

• What is the sum of all odd prime factors of 214?

  Prime factors of 214 are 2 , 107, out of which 107 are odd numbers. So, the sum of odd prime factors of 214 is 107 = 107.

• Is there any even prime factor of 214?

  Yes there is a even prime factor of 214.

• What is the product of all odd prime factors of 214?

  Prime factors of 214 are 2 , 107, out of which 107 are odd numbers. So, the product of odd prime factors of 214 is 107 = 107.