Factors of 238 are the list of integers that can be evenly divided into 238. There are overall 8 factors of 238 among which 238 is the biggest factor and its positive factors are 1, 2, 7, 14, 17, 34, 119, 238. The sum of all factors of 238 is 432 and its factors in Pairs are (1, 238), (2, 119), (7, 34), (14, 17).

• All Factors of 238: 1, 2, 7, 14, 17, 34, 119 and 238
• Negative Factors of 238: -1, -2, -7, -14, -17, -34, -119 and -238
• Prime Factors of 238: 2, 7, 17
• Prime Factorization of 238: 2¹ × 7¹ × 17¹
• Sum of Factors of 238: 432

1.	What Are the Factors of 238?
2.	Factors of 238 by Prime Factorization
3.	Factors of 238 in Pairs
4.	FAQs on Factors of 238

Factors of 238 are pairs of those numbers whose products result in 238. These factors are either prime numbers or composite numbers.

How to Find the Factors of 238?

To find the factors of 238, we will have to find the list of numbers that would divide 238 without leaving any remainder.

• 238/7 = 34; therefore, 7 is a factor of 238 and 34 is also a factor of 238.
• 238/14 = 17; therefore, 14 is a factor of 238 and 17 is also a factor of 238.

Similarly we can find other factors. Hence, the factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238.

☛ Also Check:

• Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75
• Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
• Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
• Factors of 65 - The factors of 65 are 1, 5, 13, 65

The number 238 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 238. The first step is to divide the number 238 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 238 ÷ 2 = 119

Further dividing 119 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 119 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 238 can be written as 2¹ × 7¹ × 17¹ where 2, 7, 17 are prime.

Pair factors of 238 are the pairs of numbers that when multiplied give the product 238. The factors of 238 in pairs are:

• 1 × 238 = (1, 238)
• 2 × 119 = (2, 119)
• 7 × 34 = (7, 34)
• 14 × 17 = (14, 17)

Negative pair factors of 238 are:

• -1 × -238 = (-1, -238)
• -2 × -119 = (-2, -119)
• -7 × -34 = (-7, -34)
• -14 × -17 = (-14, -17)

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