Prime Factors of 334

Steps to find Prime Factors of 334 by Division Method

To find the primefactors of 334 using the division method, follow these steps:

• Step 1. Start dividing 334 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 334, which is 2. Divide 334 by 2 to obtain the quotient (167).
  334 ÷ 2 = 167
• Step 3. Repeat step 1 with the obtained quotient (167).
  167 ÷ 167 = 1

So, the prime factorization of 334 is, 334 = 2 x 167.

Steps to find Prime Factors of 334 by Factor Tree Method

We can follow the same procedure using the factor tree of 334 as shown below:

So, the prime factorization of 334 is, 334 = 2 x 167.

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 334 are 2 x 167.

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 334 but not a prime factor of 334.

Frequently Asked Questions

• Which is the smallest prime factor of 334?

  Smallest prime factor of 334 is 2.

• Is 334 a perfect square?

  No 334 is not a perfect square.

• What is the prime factorization of 334?

  Prime factorization of 334 is 2 x 167.

• What are the factors of 334?

  Factors of 334 are 1 , 2 , 167 , 334.

• What is the product of all prime factors of 334?

  Prime factors of 334 are 2 x 167. Therefore, their product is 334.

• What numbers are the prime factors of 334?

  Prime factors of 334 are 2 , 167.

• What is the sum of all odd prime factors of 334?

  Prime factors of 334 are 2 , 167, out of which 167 are odd numbers. So, the sum of odd prime factors of 334 is 167 = 167.

• Is there any even prime factor of 334?

  Yes there is a even prime factor of 334.

• What is the product of all odd prime factors of 334?

  Prime factors of 334 are 2 , 167, out of which 167 are odd numbers. So, the product of odd prime factors of 334 is 167 = 167.