Factors of 1160
The factors of 1160 are 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, and 1160. In total, 1160 has 16 factors. Its prime factorization is 2³ × 5 × 29, and the sum of all its factors is 2700.
All factors of 1160
Here are all 16 factors of 1160, listed from smallest to largest.
Factor pairs of 1160
These 8 pairs of whole numbers each multiply to give 1160.
Prime factorization of 1160
Dividing 1160 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1160 are 2, 5, 29. To factorize any other number, use the prime factorization calculator.
Factor tree of 1160
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1160
| Number of factors | 16 |
|---|---|
| Sum of factors | 2700 |
| Sum of proper factors | 1540 |
| Prime factorization | 2³ × 5 × 29 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 1160 interesting
- 1160 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
- 1160 is an abundant number: its proper factors sum to 1540, which is 380 more than 1160 itself.
- 1160 has 3 distinct prime factors (2, 5, 29), which is why it has so many divisors.
How to find the factors of 1160 yourself
Divide 1160 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 √1160 ≈ 34.06, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1160.
Frequently asked questions about 1160
What are the factors of 1160?
Is 1160 a prime number?
What is the prime factorization of 1160?
What two numbers multiply to give 1160?
What is the sum of the factors of 1160?
Is 1160 a perfect square?
What is the largest factor of 1160 other than itself?
How many factors does 1160 have?
Explore more
Try another number in the factor calculator, break 1160 down further with the prime factorization calculator, or compare 1160 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.