Factors of 1055
The factors of 1055 are 1, 5, 211, and 1055. In total, 1055 has 4 factors. Its prime factorization is 5 × 211, and the sum of all its factors is 1272.
All factors of 1055
Here are all 4 factors of 1055, listed from smallest to largest.
Factor pairs of 1055
These 2 pairs of whole numbers each multiply to give 1055.
Prime factorization of 1055
Dividing 1055 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1055 are 5, 211. To factorize any other number, use the prime factorization calculator.
Factor tree of 1055
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1055
| Number of factors | 4 |
|---|---|
| Sum of factors | 1272 |
| Sum of proper factors | 217 |
| Prime factorization | 5 × 211 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 1055 interesting
- 1055 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
- 1055 is a deficient number: its proper factors sum to 217, which is 838 less than 1055 itself.
How to find the factors of 1055 yourself
Divide 1055 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 √1055 ≈ 32.48, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 5, 211, 1055. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1055.
Frequently asked questions about 1055
What are the factors of 1055?
Is 1055 a prime number?
What is the prime factorization of 1055?
What two numbers multiply to give 1055?
What is the sum of the factors of 1055?
Is 1055 a perfect square?
What is the largest factor of 1055 other than itself?
How many factors does 1055 have?
Explore more
Try another number in the factor calculator, break 1055 down further with the prime factorization calculator, or compare 1055 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.