Factors of 1108
The factors of 1108 are 1, 2, 4, 277, 554, and 1108. In total, 1108 has 6 factors. Its prime factorization is 2² × 277, and the sum of all its factors is 1946.
All factors of 1108
Here are all 6 factors of 1108, listed from smallest to largest.
Factor pairs of 1108
These 3 pairs of whole numbers each multiply to give 1108.
Prime factorization of 1108
Dividing 1108 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1108 are 2, 277. To factorize any other number, use the prime factorization calculator.
Factor tree of 1108
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1108
| Number of factors | 6 |
|---|---|
| Sum of factors | 1946 |
| Sum of proper factors | 838 |
| Prime factorization | 2² × 277 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 1108 interesting
- 1108 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.
- 1108 is a deficient number: its proper factors sum to 838, which is 270 less than 1108 itself.
How to find the factors of 1108 yourself
Divide 1108 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 √1108 ≈ 33.29, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 277, 554, 1108. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1108.
Frequently asked questions about 1108
What are the factors of 1108?
Is 1108 a prime number?
What is the prime factorization of 1108?
What two numbers multiply to give 1108?
What is the sum of the factors of 1108?
Is 1108 a perfect square?
What is the largest factor of 1108 other than itself?
How many factors does 1108 have?
Explore more
Try another number in the factor calculator, break 1108 down further with the prime factorization calculator, or compare 1108 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.