Prime Factors of 242

Steps to find Prime Factors of 242 by Division Method

To find the primefactors of 242 using the division method, follow these steps:

• Step 1. Start dividing 242 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 242, which is 2. Divide 242 by 2 to obtain the quotient (121).
  242 ÷ 2 = 121
• Step 3. Repeat step 1 with the obtained quotient (121).
  121 ÷ 11 = 11
  11 ÷ 11 = 1

So, the prime factorization of 242 is, 242 = 2 x 11 x 11.

Steps to find Prime Factors of 242 by Factor Tree Method

We can follow the same procedure using the factor tree of 242 as shown below:

So, the prime factorization of 242 is, 242 = 2 x 11 x 11.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 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 242 are 2 x 11 x 11.

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 242 but not a prime factor of 242.

Frequently Asked Questions

• Is 242 a prime number?

  false, 242 is not a prime number.

• How to find prime factorization of 242 easily?

  To find prime factorization of 242 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 242?

  The largest prime factor of 242 is 11.

• What is the sum of all prime factors of 242?

  Prime factors of 242 are 2 x 11 x 11. Therefore, their sum is 24.

• What is the product of all prime factors of 242?

  Prime factors of 242 are 2 x 11 x 11. Therefore, their product is 242.

• What numbers are the prime factors of 242?

  Prime factors of 242 are 2 , 11 , 11.

• What is the sum of all odd prime factors of 242?

  Prime factors of 242 are 2 , 11 , 11, out of which 11 , 11 are odd numbers. So, the sum of odd prime factors of 242 is 11 + 11 = 22.

• Is there any even prime factor of 242?

  Yes there is a even prime factor of 242.

• What is the product of all odd prime factors of 242?

  Prime factors of 242 are 2 , 11 , 11, out of which 11 , 11 are odd numbers. So, the product of odd prime factors of 242 is 11 x 11 = 121.