Factors of 824
The factors of 824 are 1, 2, 4, 8, 103, 206, 412, and 824. In total, 824 has 8 factors. Its prime factorization is 2³ × 103, and the sum of all its factors is 1560.
All factors of 824
Here are all 8 factors of 824, listed from smallest to largest.
Factor pairs of 824
These 4 pairs of whole numbers each multiply to give 824.
Prime factorization of 824
Dividing 824 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 824 are 2, 103. To factorize any other number, use the prime factorization calculator.
Factor tree of 824
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 824
| Number of factors | 8 |
|---|---|
| Sum of factors | 1560 |
| Sum of proper factors | 736 |
| Prime factorization | 2³ × 103 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 824 interesting
- 824 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.
- 824 is a deficient number: its proper factors sum to 736, which is 88 less than 824 itself.
How to find the factors of 824 yourself
Divide 824 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 √824 ≈ 28.71, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 103, 206, 412, 824. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 824.
Frequently asked questions about 824
What are the factors of 824?
Is 824 a prime number?
What is the prime factorization of 824?
What two numbers multiply to give 824?
What is the sum of the factors of 824?
Is 824 a perfect square?
What is the largest factor of 824 other than itself?
How many factors does 824 have?
Explore more
Try another number in the factor calculator, break 824 down further with the prime factorization calculator, or compare 824 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.