Factors of 1076
The factors of 1076 are 1, 2, 4, 269, 538, and 1076. In total, 1076 has 6 factors. Its prime factorization is 2² × 269, and the sum of all its factors is 1890.
All factors of 1076
Here are all 6 factors of 1076, listed from smallest to largest.
Factor pairs of 1076
These 3 pairs of whole numbers each multiply to give 1076.
Prime factorization of 1076
Dividing 1076 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1076 are 2, 269. To factorize any other number, use the prime factorization calculator.
Factor tree of 1076
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1076
| Number of factors | 6 |
|---|---|
| Sum of factors | 1890 |
| Sum of proper factors | 814 |
| Prime factorization | 2² × 269 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 1076 interesting
- 1076 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.
- 1076 is a deficient number: its proper factors sum to 814, which is 262 less than 1076 itself.
How to find the factors of 1076 yourself
Divide 1076 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 √1076 ≈ 32.80, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 269, 538, 1076. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1076.
Frequently asked questions about 1076
What are the factors of 1076?
Is 1076 a prime number?
What is the prime factorization of 1076?
What two numbers multiply to give 1076?
What is the sum of the factors of 1076?
Is 1076 a perfect square?
What is the largest factor of 1076 other than itself?
How many factors does 1076 have?
Explore more
Try another number in the factor calculator, break 1076 down further with the prime factorization calculator, or compare 1076 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.