Factors of 116 are integers that can be divided evenly into 116. There are total 6 factors of 116 i.e. 1, 2, 4, 29, 58, 116. The Prime Factors of 116 are 2 × 29 and its Factors in Pairs are (1, 116), (2, 58), (4, 29).

• All Factors of 116: 1, 2, 4, 29, 58 and 116
• Negative Factors of 116: -1, -2, -4, -29, -58 and -116
• Prime Factors of 116: 2, 29
• Prime Factorization of 116: 2² × 29¹
• Sum of Factors of 116: 210

1.	What Are the Factors of 116?
2.	Factors of 116 by Prime Factorization
3.	Factors of 116 in Pairs
4.	FAQs on Factors of 116

Factors of 116 are pairs of those numbers whose products result in 116. These factors are either prime numbers or composite numbers.

How to Find the Factors of 116?

To find the factors of 116, we will have to find the list of numbers that would divide 116 without leaving any remainder.

• 116/29 = 4; therefore, 29 is a factor of 116 and 4 is also a factor of 116.
• 116/58 = 2; therefore, 58 is a factor of 116 and 2 is also a factor of 116.

Similarly we can find other factors. Hence, the factors of 116 are 1, 2, 4, 29, 58, 116.

☛ Also Check:

• Factors of 57 - The factors of 57 are 1, 3, 19, 57
• Factors of 31 - The factors of 31 are 1, 31
• Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
• Factors of 26 - The factors of 26 are 1, 2, 13, 26
• Factors of 33 - The factors of 33 are 1, 3, 11, 33

The number 116 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 116. The first step is to divide the number 116 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 116 ÷ 2 = 58
• 58 ÷ 2 = 29

Further dividing 29 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 29 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 116 can be written as 2² × 29¹ where 2, 29 are prime.

Pair factors of 116 are the pairs of numbers that when multiplied give the product 116. The factors of 116 in pairs are:

• 1 × 116 = (1, 116)
• 2 × 58 = (2, 58)
• 4 × 29 = (4, 29)

Negative pair factors of 116 are:

• -1 × -116 = (-1, -116)
• -2 × -58 = (-2, -58)
• -4 × -29 = (-4, -29)

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