Factors of 1096
The factors of 1096 are 1, 2, 4, 8, 137, 274, 548, and 1096. In total, 1096 has 8 factors. Its prime factorization is 2³ × 137, and the sum of all its factors is 2070.
All factors of 1096
Here are all 8 factors of 1096, listed from smallest to largest.
Factor pairs of 1096
These 4 pairs of whole numbers each multiply to give 1096.
Prime factorization of 1096
Dividing 1096 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1096 are 2, 137. To factorize any other number, use the prime factorization calculator.
Factor tree of 1096
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1096
| Number of factors | 8 |
|---|---|
| Sum of factors | 2070 |
| Sum of proper factors | 974 |
| Prime factorization | 2³ × 137 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 1096 interesting
- 1096 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
- 1096 is a deficient number: its proper factors sum to 974, which is 122 less than 1096 itself.
How to find the factors of 1096 yourself
Divide 1096 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 √1096 ≈ 33.11, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 137, 274, 548, 1096. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1096.
Frequently asked questions about 1096
What are the factors of 1096?
Is 1096 a prime number?
What is the prime factorization of 1096?
What two numbers multiply to give 1096?
What is the sum of the factors of 1096?
Is 1096 a perfect square?
What is the largest factor of 1096 other than itself?
How many factors does 1096 have?
Explore more
Try another number in the factor calculator, break 1096 down further with the prime factorization calculator, or compare 1096 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.