Prime Factors of 338

Steps to find Prime Factors of 338 by Division Method

To find the primefactors of 338 using the division method, follow these steps:

• Step 1. Start dividing 338 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 338, which is 2. Divide 338 by 2 to obtain the quotient (169).
  338 ÷ 2 = 169
• Step 3. Repeat step 1 with the obtained quotient (169).
  169 ÷ 13 = 13
  13 ÷ 13 = 1

So, the prime factorization of 338 is, 338 = 2 x 13 x 13.

Steps to find Prime Factors of 338 by Factor Tree Method

We can follow the same procedure using the factor tree of 338 as shown below:

So, the prime factorization of 338 is, 338 = 2 x 13 x 13.

What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 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 338 are 2 x 13 x 13.

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 338 but not a prime factor of 338.

Frequently Asked Questions

• Is 338 a prime number?

  false, 338 is not a prime number.

• How to find prime factorization of 338 easily?

  To find prime factorization of 338 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 338?

  The largest prime factor of 338 is 13.

• What is the sum of all prime factors of 338?

  Prime factors of 338 are 2 x 13 x 13. Therefore, their sum is 28.

• What is the product of all prime factors of 338?

  Prime factors of 338 are 2 x 13 x 13. Therefore, their product is 338.

• What numbers are the prime factors of 338?

  Prime factors of 338 are 2 , 13 , 13.

• What is the sum of all odd prime factors of 338?

  Prime factors of 338 are 2 , 13 , 13, out of which 13 , 13 are odd numbers. So, the sum of odd prime factors of 338 is 13 + 13 = 26.

• Is there any even prime factor of 338?

  Yes there is a even prime factor of 338.

• What is the product of all odd prime factors of 338?

  Prime factors of 338 are 2 , 13 , 13, out of which 13 , 13 are odd numbers. So, the product of odd prime factors of 338 is 13 x 13 = 169.