Factors of 242 are the list of integers that we can split evenly into 242. There are total 6 factors of 242 i.e. 1, 2, 11, 22, 121, 242. The sum of all factors of 242 is 399. Its Prime Factors are 2 × 11 and (1, 242), (2, 121), (11, 22) are Pair Factors.

• All Factors of 242: 1, 2, 11, 22, 121 and 242
• Negative Factors of 242: -1, -2, -11, -22, -121 and -242
• Prime Factors of 242: 2, 11
• Prime Factorization of 242: 2¹ × 11²
• Sum of Factors of 242: 399

1.	What Are the Factors of 242?
2.	Factors of 242 by Prime Factorization
3.	Factors of 242 in Pairs
4.	FAQs on Factors of 242

Factors of 242 are pairs of those numbers whose products result in 242. These factors are either prime numbers or composite numbers.

How to Find the Factors of 242?

To find the factors of 242, we will have to find the list of numbers that would divide 242 without leaving any remainder.

• 242/22 = 11; therefore, 22 is a factor of 242 and 11 is also a factor of 242.
• 242/121 = 2; therefore, 121 is a factor of 242 and 2 is also a factor of 242.

Similarly we can find other factors. Hence, the factors of 242 are 1, 2, 11, 22, 121, 242.

☛ Also Check:

• Factors of 16 - The factors of 16 are 1, 2, 4, 8, 16
• Factors of 37 - The factors of 37 are 1, 37
• Factors of 39 - The factors of 39 are 1, 3, 13, 39
• Factors of 14 - The factors of 14 are 1, 2, 7, 14
• Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78

The number 242 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 242. The first step is to divide the number 242 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 242 ÷ 2 = 121

Further dividing 121 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 121 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 242 can be written as 2¹ × 11² where 2, 11 are prime.

Pair factors of 242 are the pairs of numbers that when multiplied give the product 242. The factors of 242 in pairs are:

• 1 × 242 = (1, 242)
• 2 × 121 = (2, 121)
• 11 × 22 = (11, 22)

Negative pair factors of 242 are:

• -1 × -242 = (-1, -242)
• -2 × -121 = (-2, -121)
• -11 × -22 = (-11, -22)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.