Factors of 296 are the list of integers that can be evenly divided into 296. There are overall 8 factors of 296 i.e. 1, 2, 4, 8, 37, 74, 148, 296 where 296 is the biggest factor. The sum of all factors of 296 is 570. Its Prime Factors are 2 × 37 and (1, 296), (2, 148), (4, 74), (8, 37) are Pair Factors.

• All Factors of 296: 1, 2, 4, 8, 37, 74, 148 and 296
• Negative Factors of 296: -1, -2, -4, -8, -37, -74, -148 and -296
• Prime Factors of 296: 2, 37
• Prime Factorization of 296: 2³ × 37¹
• Sum of Factors of 296: 570

1.	What Are the Factors of 296?
2.	Factors of 296 by Prime Factorization
3.	Factors of 296 in Pairs
4.	FAQs on Factors of 296

Factors of 296 are pairs of those numbers whose products result in 296. These factors are either prime numbers or composite numbers.

How to Find the Factors of 296?

To find the factors of 296, we will have to find the list of numbers that would divide 296 without leaving any remainder.

• 296/2 = 148; therefore, 2 is a factor of 296 and 148 is also a factor of 296.
• 296/4 = 74; therefore, 4 is a factor of 296 and 74 is also a factor of 296.

Similarly we can find other factors. Hence, the factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296.

☛ Also Check:

• Factors of 14 - The factors of 14 are 1, 2, 7, 14
• Factors of 17 - The factors of 17 are 1, 17
• Factors of 21 - The factors of 21 are 1, 3, 7, 21
• Factors of 4 - The factors of 4 are 1, 2, 4
• Factors of 56 - The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56

The number 296 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 296. The first step is to divide the number 296 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 296 ÷ 2 = 148
• 148 ÷ 2 = 74
• 74 ÷ 2 = 37

Further dividing 37 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 37 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 296 can be written as 2³ × 37¹ where 2, 37 are prime.

Pair factors of 296 are the pairs of numbers that when multiplied give the product 296. The factors of 296 in pairs are:

• 1 × 296 = (1, 296)
• 2 × 148 = (2, 148)
• 4 × 74 = (4, 74)
• 8 × 37 = (8, 37)

Negative pair factors of 296 are:

• -1 × -296 = (-1, -296)
• -2 × -148 = (-2, -148)
• -4 × -74 = (-4, -74)
• -8 × -37 = (-8, -37)

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