Factors of 344 are the list of integers that we can split evenly into 344. There are 8 factors of 344 of which 344 itself is the biggest factor and its positive factors are 1, 2, 4, 8, 43, 86, 172, 344. The sum of all factors of 344 is 660. Its Prime Factors are 2 × 43 and (1, 344), (2, 172), (4, 86), (8, 43) are Pair Factors.

• All Factors of 344: 1, 2, 4, 8, 43, 86, 172 and 344
• Negative Factors of 344: -1, -2, -4, -8, -43, -86, -172 and -344
• Prime Factors of 344: 2, 43
• Prime Factorization of 344: 2³ × 43¹
• Sum of Factors of 344: 660

1.	What Are the Factors of 344?
2.	Factors of 344 by Prime Factorization
3.	Factors of 344 in Pairs
4.	FAQs on Factors of 344

Factors of 344 are pairs of those numbers whose products result in 344. These factors are either prime numbers or composite numbers.

How to Find the Factors of 344?

To find the factors of 344, we will have to find the list of numbers that would divide 344 without leaving any remainder.

• 344/2 = 172; therefore, 2 is a factor of 344 and 172 is also a factor of 344.
• 344/8 = 43; therefore, 8 is a factor of 344 and 43 is also a factor of 344.

Similarly we can find other factors. Hence, the factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344.

☛ Also Check:

• Factors of 15 - The factors of 15 are 1, 3, 5, 15
• Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75
• Factors of 33 - The factors of 33 are 1, 3, 11, 33
• Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
• Factors of 40 - The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The number 344 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 344. The first step is to divide the number 344 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 344 ÷ 2 = 172
• 172 ÷ 2 = 86
• 86 ÷ 2 = 43

Further dividing 43 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 43 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 344 can be written as 2³ × 43¹ where 2, 43 are prime.

Pair factors of 344 are the pairs of numbers that when multiplied give the product 344. The factors of 344 in pairs are:

• 1 × 344 = (1, 344)
• 2 × 172 = (2, 172)
• 4 × 86 = (4, 86)
• 8 × 43 = (8, 43)

Negative pair factors of 344 are:

• -1 × -344 = (-1, -344)
• -2 × -172 = (-2, -172)
• -4 × -86 = (-4, -86)
• -8 × -43 = (-8, -43)

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