Factors of 896
The factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, and 896. In total, 896 has 16 factors. Its prime factorization is 2⁷ × 7, and the sum of all its factors is 2040.
All factors of 896
Here are all 16 factors of 896, listed from smallest to largest.
Factor pairs of 896
These 8 pairs of whole numbers each multiply to give 896.
Prime factorization of 896
Dividing 896 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 896 are 2, 7. To factorize any other number, use the prime factorization calculator.
Factor tree of 896
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 896
| Number of factors | 16 |
|---|---|
| Sum of factors | 2040 |
| Sum of proper factors | 1144 |
| Prime factorization | 2⁷ × 7 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 896 interesting
- 896 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.
- 896 is an abundant number: its proper factors sum to 1144, which is 248 more than 896 itself.
How to find the factors of 896 yourself
Divide 896 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 √896 ≈ 29.93, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 896.
Frequently asked questions about 896
What are the factors of 896?
Is 896 a prime number?
What is the prime factorization of 896?
What two numbers multiply to give 896?
What is the sum of the factors of 896?
Is 896 a perfect square?
What is the largest factor of 896 other than itself?
How many factors does 896 have?
Explore more
Try another number in the factor calculator, break 896 down further with the prime factorization calculator, or compare 896 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.