Factors of 828
The factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, and 828. In total, 828 has 18 factors. Its prime factorization is 2² × 3² × 23, and the sum of all its factors is 2184.
All factors of 828
Here are all 18 factors of 828, listed from smallest to largest.
Factor pairs of 828
These 9 pairs of whole numbers each multiply to give 828.
Prime factorization of 828
Dividing 828 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 828 are 2, 3, 23. To factorize any other number, use the prime factorization calculator.
Factor tree of 828
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 828
| Number of factors | 18 |
|---|---|
| Sum of factors | 2184 |
| Sum of proper factors | 1356 |
| Prime factorization | 2² × 3² × 23 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 828 interesting
- 828 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.
- 828 is an abundant number: its proper factors sum to 1356, which is 528 more than 828 itself.
- 828 has 3 distinct prime factors (2, 3, 23), which is why it has so many divisors.
How to find the factors of 828 yourself
Divide 828 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 √828 ≈ 28.77, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 828.
Frequently asked questions about 828
What are the factors of 828?
Is 828 a prime number?
What is the prime factorization of 828?
What two numbers multiply to give 828?
What is the sum of the factors of 828?
Is 828 a perfect square?
What is the largest factor of 828 other than itself?
How many factors does 828 have?
Explore more
Try another number in the factor calculator, break 828 down further with the prime factorization calculator, or compare 828 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.