Factors of 116
The factors of 116 are 1, 2, 4, 29, 58, and 116. In total, 116 has 6 factors. Its prime factorization is 2² × 29, and the sum of all its factors is 210.
All factors of 116
Here are all 6 factors of 116, listed from smallest to largest.
Factor pairs of 116
These 3 pairs of whole numbers each multiply to give 116.
Prime factorization of 116
Dividing 116 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 116 are 2, 29. To factorize any other number, use the prime factorization calculator.
Factor tree of 116
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 116
| Number of factors | 6 |
|---|---|
| Sum of factors | 210 |
| Sum of proper factors | 94 |
| Prime factorization | 2² × 29 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 116 interesting
- 116 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
- 116 is a deficient number: its proper factors sum to 94, which is 22 less than 116 itself.
How to find the factors of 116 yourself
Divide 116 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √116 ≈ 10.77, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 29, 58, 116. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 116.
Frequently asked questions about 116
What are the factors of 116?
Is 116 a prime number?
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What two numbers multiply to give 116?
What is the sum of the factors of 116?
Is 116 a perfect square?
What is the largest factor of 116 other than itself?
How many factors does 116 have?
Explore more
Try another number in the factor calculator, break 116 down further with the prime factorization calculator, or compare 116 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.