Factors of 1059
The factors of 1059 are 1, 3, 353, and 1059. In total, 1059 has 4 factors. Its prime factorization is 3 × 353, and the sum of all its factors is 1416.
All factors of 1059
Here are all 4 factors of 1059, listed from smallest to largest.
Factor pairs of 1059
These 2 pairs of whole numbers each multiply to give 1059.
Prime factorization of 1059
Dividing 1059 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1059 are 3, 353. To factorize any other number, use the prime factorization calculator.
Factor tree of 1059
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1059
| Number of factors | 4 |
|---|---|
| Sum of factors | 1416 |
| Sum of proper factors | 357 |
| Prime factorization | 3 × 353 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 1059 interesting
- 1059 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.
- 1059 is a deficient number: its proper factors sum to 357, which is 702 less than 1059 itself.
How to find the factors of 1059 yourself
Divide 1059 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 √1059 ≈ 32.54, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 353, 1059. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1059.
Frequently asked questions about 1059
What are the factors of 1059?
Is 1059 a prime number?
What is the prime factorization of 1059?
What two numbers multiply to give 1059?
What is the sum of the factors of 1059?
Is 1059 a perfect square?
What is the largest factor of 1059 other than itself?
How many factors does 1059 have?
Explore more
Try another number in the factor calculator, break 1059 down further with the prime factorization calculator, or compare 1059 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.