Prime Factors of 219

Steps to find Prime Factors of 219 by Division Method

To find the primefactors of 219 using the division method, follow these steps:

• Step 1. Start dividing 219 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 219, which is 3. Divide 219 by 3 to obtain the quotient (73).
  219 ÷ 3 = 73
• Step 3. Repeat step 1 with the obtained quotient (73).
  73 ÷ 73 = 1

So, the prime factorization of 219 is, 219 = 3 x 73.

Steps to find Prime Factors of 219 by Factor Tree Method

We can follow the same procedure using the factor tree of 219 as shown below:

So, the prime factorization of 219 is, 219 = 3 x 73.

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 219 are 3 x 73.

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 219 but not a prime factor of 219.

Frequently Asked Questions

• Which is the smallest prime factor of 219?

  Smallest prime factor of 219 is 3.

• Is 219 a perfect square?

  No 219 is not a perfect square.

• What is the prime factorization of 219?

  Prime factorization of 219 is 3 x 73.

• What is prime factorization of 219 in exponential form?

  Prime factorization of 219 in exponential form is 3 x 73.

• Is 219 a prime number?

  false, 219 is not a prime number.

• Which is the largest prime factors of 219?

  The largest prime factor of 219 is 73.

• What is the product of all prime factors of 219?

  Prime factors of 219 are 3 x 73. Therefore, their product is 219.

• What is the sum of all odd prime factors of 219?

  Prime factors of 219 are 3 , 73, out of which 3 , 73 are odd numbers. So, the sum of odd prime factors of 219 is 3 + 73 = 76.

• What is the product of all odd prime factors of 219?

  Prime factors of 219 are 3 , 73, out of which 3 , 73 are odd numbers. So, the product of odd prime factors of 219 is 3 x 73 = 219.