Prime Factors of 238

Steps to find Prime Factors of 238 by Division Method

To find the primefactors of 238 using the division method, follow these steps:

• Step 1. Start dividing 238 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 238, which is 2. Divide 238 by 2 to obtain the quotient (119).
  238 ÷ 2 = 119
• Step 3. Repeat step 1 with the obtained quotient (119).
  119 ÷ 7 = 17
  17 ÷ 17 = 1

So, the prime factorization of 238 is, 238 = 2 x 7 x 17.

Steps to find Prime Factors of 238 by Factor Tree Method

We can follow the same procedure using the factor tree of 238 as shown below:

So, the prime factorization of 238 is, 238 = 2 x 7 x 17.

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 238 are 2 x 7 x 17.

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 238 but not a prime factor of 238.

Frequently Asked Questions

• Which is the smallest prime factor of 238?

  Smallest prime factor of 238 is 2.

• Is 238 a perfect square?

  No 238 is not a perfect square.

• What is the prime factorization of 238?

  Prime factorization of 238 is 2 x 7 x 17.

• What are the factors of 238?

  Factors of 238 are 1 , 2 , 7 , 14 , 17 , 34 , 119 , 238.

• What is the product of all prime factors of 238?

  Prime factors of 238 are 2 x 7 x 17. Therefore, their product is 238.

• What numbers are the prime factors of 238?

  Prime factors of 238 are 2 , 7 , 17.

• What is the sum of all odd prime factors of 238?

  Prime factors of 238 are 2 , 7 , 17, out of which 7 , 17 are odd numbers. So, the sum of odd prime factors of 238 is 7 + 17 = 24.

• Is there any even prime factor of 238?

  Yes there is a even prime factor of 238.

• What is the product of all odd prime factors of 238?

  Prime factors of 238 are 2 , 7 , 17, out of which 7 , 17 are odd numbers. So, the product of odd prime factors of 238 is 7 x 17 = 119.