Factors of 884
The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, and 884. In total, 884 has 12 factors. Its prime factorization is 2² × 13 × 17, and the sum of all its factors is 1764.
All factors of 884
Here are all 12 factors of 884, listed from smallest to largest.
Factor pairs of 884
These 6 pairs of whole numbers each multiply to give 884.
Prime factorization of 884
Dividing 884 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 884 are 2, 13, 17. To factorize any other number, use the prime factorization calculator.
Factor tree of 884
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 884
| Number of factors | 12 |
|---|---|
| Sum of factors | 1764 |
| Sum of proper factors | 880 |
| Prime factorization | 2² × 13 × 17 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 884 interesting
- 884 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
- 884 is a deficient number: its proper factors sum to 880, which is 4 less than 884 itself.
- 884 has 3 distinct prime factors (2, 13, 17), which is why it has so many divisors.
How to find the factors of 884 yourself
Divide 884 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 √884 ≈ 29.73, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 884.
Frequently asked questions about 884
What are the factors of 884?
Is 884 a prime number?
What is the prime factorization of 884?
What two numbers multiply to give 884?
What is the sum of the factors of 884?
Is 884 a perfect square?
What is the largest factor of 884 other than itself?
How many factors does 884 have?
Explore more
Try another number in the factor calculator, break 884 down further with the prime factorization calculator, or compare 884 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.