Factors of 338 are the list of integers that we can split evenly into 338. There are 6 factors of 338 of which 338 itself is the biggest factor and its positive factors are 1, 2, 13, 26, 169, 338. The sum of all factors of 338 is 549 and its factors in Pairs are (1, 338), (2, 169), (13, 26).

• All Factors of 338: 1, 2, 13, 26, 169 and 338
• Negative Factors of 338: -1, -2, -13, -26, -169 and -338
• Prime Factors of 338: 2, 13
• Prime Factorization of 338: 2¹ × 13²
• Sum of Factors of 338: 549

1.	What Are the Factors of 338?
2.	Factors of 338 by Prime Factorization
3.	Factors of 338 in Pairs
4.	FAQs on Factors of 338

Factors of 338 are pairs of those numbers whose products result in 338. These factors are either prime numbers or composite numbers.

How to Find the Factors of 338?

To find the factors of 338, we will have to find the list of numbers that would divide 338 without leaving any remainder.

• 338/13 = 26; therefore, 13 is a factor of 338 and 26 is also a factor of 338.
• 338/169 = 2; therefore, 169 is a factor of 338 and 2 is also a factor of 338.

Similarly we can find other factors. Hence, the factors of 338 are 1, 2, 13, 26, 169, 338.

☛ Also Check:

• Factors of 17 - The factors of 17 are 1, 17
• Factors of 35 - The factors of 35 are 1, 5, 7, 35
• Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
• Factors of 40 - The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
• Factors of 16 - The factors of 16 are 1, 2, 4, 8, 16

The number 338 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 338. The first step is to divide the number 338 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 338 ÷ 2 = 169

Further dividing 169 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 169 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 338 can be written as 2¹ × 13² where 2, 13 are prime.

Pair factors of 338 are the pairs of numbers that when multiplied give the product 338. The factors of 338 in pairs are:

• 1 × 338 = (1, 338)
• 2 × 169 = (2, 169)
• 13 × 26 = (13, 26)

Negative pair factors of 338 are:

• -1 × -338 = (-1, -338)
• -2 × -169 = (-2, -169)
• -13 × -26 = (-13, -26)

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