Factors of 560
The factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, and 560. In total, 560 has 20 factors. Its prime factorization is 2⁴ × 5 × 7, and the sum of all its factors is 1488.
All factors of 560
Here are all 20 factors of 560, listed from smallest to largest.
Factor pairs of 560
These 10 pairs of whole numbers each multiply to give 560.
Prime factorization of 560
Dividing 560 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 560 are 2, 5, 7. To factorize any other number, use the prime factorization calculator.
Factor tree of 560
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 560
| Number of factors | 20 |
|---|---|
| Sum of factors | 1488 |
| Sum of proper factors | 928 |
| Prime factorization | 2⁴ × 5 × 7 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 560 interesting
- 560 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 10 different ways.
- 560 is an abundant number: its proper factors sum to 928, which is 368 more than 560 itself.
- 560 has 3 distinct prime factors (2, 5, 7), which is why it has so many divisors.
How to find the factors of 560 yourself
Divide 560 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 √560 ≈ 23.66, 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, 35, 40, 56, 70, 80, 112, 140, 280, 560. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 560.
Frequently asked questions about 560
What are the factors of 560?
Is 560 a prime number?
What is the prime factorization of 560?
What two numbers multiply to give 560?
What is the sum of the factors of 560?
Is 560 a perfect square?
What is the largest factor of 560 other than itself?
How many factors does 560 have?
Explore more
Try another number in the factor calculator, break 560 down further with the prime factorization calculator, or compare 560 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.