Factors of 1120
The factors of 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, and 1120. In total, 1120 has 24 factors. Its prime factorization is 2⁵ × 5 × 7, and the sum of all its factors is 3024.
All factors of 1120
Here are all 24 factors of 1120, listed from smallest to largest.
Factor pairs of 1120
These 12 pairs of whole numbers each multiply to give 1120.
Prime factorization of 1120
Dividing 1120 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1120 are 2, 5, 7. To factorize any other number, use the prime factorization calculator.
Factor tree of 1120
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1120
| Number of factors | 24 |
|---|---|
| Sum of factors | 3024 |
| Sum of proper factors | 1904 |
| Prime factorization | 2⁵ × 5 × 7 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 1120 interesting
- 1120 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 12 different ways.
- 1120 is an abundant number: its proper factors sum to 1904, which is 784 more than 1120 itself.
- 1120 has 3 distinct prime factors (2, 5, 7), which is why it has so many divisors.
How to find the factors of 1120 yourself
Divide 1120 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 √1120 ≈ 33.47, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1120.
Frequently asked questions about 1120
What are the factors of 1120?
Is 1120 a prime number?
What is the prime factorization of 1120?
What two numbers multiply to give 1120?
What is the sum of the factors of 1120?
Is 1120 a perfect square?
What is the largest factor of 1120 other than itself?
How many factors does 1120 have?
Explore more
Try another number in the factor calculator, break 1120 down further with the prime factorization calculator, or compare 1120 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.