Factors of 56
The factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56. In total, 56 has 8 factors. Its prime factorization is 2³ × 7, and the sum of all its factors is 120.
All factors of 56
Here are all 8 factors of 56, listed from smallest to largest.
Factor pairs of 56
These 4 pairs of whole numbers each multiply to give 56.
Prime factorization of 56
Dividing 56 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 56 are 2, 7. To factorize any other number, use the prime factorization calculator.
Factor tree of 56
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 56
| Number of factors | 8 |
|---|---|
| Sum of factors | 120 |
| Sum of proper factors | 64 |
| Prime factorization | 2³ × 7 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 56 interesting
- 56 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
- 56 is an abundant number: its proper factors sum to 64, which is 8 more than 56 itself.
How to find the factors of 56 yourself
Divide 56 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 √56 ≈ 7.48, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 7, 8, 14, 28, 56. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 56.
Frequently asked questions about 56
What are the factors of 56?
Is 56 a prime number?
What is the prime factorization of 56?
What two numbers multiply to give 56?
What is the sum of the factors of 56?
Is 56 a perfect square?
What is the largest factor of 56 other than itself?
How many factors does 56 have?
Explore more
Try another number in the factor calculator, break 56 down further with the prime factorization calculator, or compare 56 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.