Factors of 882
The factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, and 882. In total, 882 has 18 factors. Its prime factorization is 2 × 3² × 7², and the sum of all its factors is 2223.
All factors of 882
Here are all 18 factors of 882, listed from smallest to largest.
Factor pairs of 882
These 9 pairs of whole numbers each multiply to give 882.
Prime factorization of 882
Dividing 882 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 882 are 2, 3, 7. To factorize any other number, use the prime factorization calculator.
Factor tree of 882
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 882
| Number of factors | 18 |
|---|---|
| Sum of factors | 2223 |
| Sum of proper factors | 1341 |
| Prime factorization | 2 × 3² × 7² |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 882 interesting
- 882 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 9 different ways.
- 882 is an abundant number: its proper factors sum to 1341, which is 459 more than 882 itself.
- 882 has 3 distinct prime factors (2, 3, 7), which is why it has so many divisors.
How to find the factors of 882 yourself
Divide 882 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 √882 ≈ 29.70, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 882.
Frequently asked questions about 882
What are the factors of 882?
Is 882 a prime number?
What is the prime factorization of 882?
What two numbers multiply to give 882?
What is the sum of the factors of 882?
Is 882 a perfect square?
What is the largest factor of 882 other than itself?
How many factors does 882 have?
Explore more
Try another number in the factor calculator, break 882 down further with the prime factorization calculator, or compare 882 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.