Factors of 1084
The factors of 1084 are 1, 2, 4, 271, 542, and 1084. In total, 1084 has 6 factors. Its prime factorization is 2² × 271, and the sum of all its factors is 1904.
All factors of 1084
Here are all 6 factors of 1084, listed from smallest to largest.
Factor pairs of 1084
These 3 pairs of whole numbers each multiply to give 1084.
Prime factorization of 1084
Dividing 1084 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1084 are 2, 271. To factorize any other number, use the prime factorization calculator.
Factor tree of 1084
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1084
| Number of factors | 6 |
|---|---|
| Sum of factors | 1904 |
| Sum of proper factors | 820 |
| Prime factorization | 2² × 271 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 1084 interesting
- 1084 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.
- 1084 is a deficient number: its proper factors sum to 820, which is 264 less than 1084 itself.
How to find the factors of 1084 yourself
Divide 1084 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 √1084 ≈ 32.92, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 271, 542, 1084. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1084.
Frequently asked questions about 1084
What are the factors of 1084?
Is 1084 a prime number?
What is the prime factorization of 1084?
What two numbers multiply to give 1084?
What is the sum of the factors of 1084?
Is 1084 a perfect square?
What is the largest factor of 1084 other than itself?
How many factors does 1084 have?
Explore more
Try another number in the factor calculator, break 1084 down further with the prime factorization calculator, or compare 1084 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.