Factors of 1116
The factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, and 1116. In total, 1116 has 18 factors. Its prime factorization is 2² × 3² × 31, and the sum of all its factors is 2912.
All factors of 1116
Here are all 18 factors of 1116, listed from smallest to largest.
Factor pairs of 1116
These 9 pairs of whole numbers each multiply to give 1116.
Prime factorization of 1116
Dividing 1116 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1116 are 2, 3, 31. To factorize any other number, use the prime factorization calculator.
Factor tree of 1116
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1116
| Number of factors | 18 |
|---|---|
| Sum of factors | 2912 |
| Sum of proper factors | 1796 |
| Prime factorization | 2² × 3² × 31 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 1116 interesting
- 1116 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 9 different ways.
- 1116 is an abundant number: its proper factors sum to 1796, which is 680 more than 1116 itself.
- 1116 has 3 distinct prime factors (2, 3, 31), which is why it has so many divisors.
How to find the factors of 1116 yourself
Divide 1116 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 √1116 ≈ 33.41, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1116.
Frequently asked questions about 1116
What are the factors of 1116?
Is 1116 a prime number?
What is the prime factorization of 1116?
What two numbers multiply to give 1116?
What is the sum of the factors of 1116?
Is 1116 a perfect square?
What is the largest factor of 1116 other than itself?
How many factors does 1116 have?
Explore more
Try another number in the factor calculator, break 1116 down further with the prime factorization calculator, or compare 1116 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.