Factors of 117
The factors of 117 are 1, 3, 9, 13, 39, and 117. In total, 117 has 6 factors. Its prime factorization is 3² × 13, and the sum of all its factors is 182.
All factors of 117
Here are all 6 factors of 117, listed from smallest to largest.
Factor pairs of 117
These 3 pairs of whole numbers each multiply to give 117.
Prime factorization of 117
Dividing 117 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 117 are 3, 13. To factorize any other number, use the prime factorization calculator.
Factor tree of 117
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 117
| Number of factors | 6 |
|---|---|
| Sum of factors | 182 |
| Sum of proper factors | 65 |
| Prime factorization | 3² × 13 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 117 interesting
- 117 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.
- 117 is a deficient number: its proper factors sum to 65, which is 52 less than 117 itself.
How to find the factors of 117 yourself
Divide 117 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 √117 ≈ 10.82, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 9, 13, 39, 117. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 117.
Frequently asked questions about 117
What are the factors of 117?
Is 117 a prime number?
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What two numbers multiply to give 117?
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Is 117 a perfect square?
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How many factors does 117 have?
Explore more
Try another number in the factor calculator, break 117 down further with the prime factorization calculator, or compare 117 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.