Factors of 984
The factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, and 984. In total, 984 has 16 factors. Its prime factorization is 2³ × 3 × 41, and the sum of all its factors is 2520.
All factors of 984
Here are all 16 factors of 984, listed from smallest to largest.
Factor pairs of 984
These 8 pairs of whole numbers each multiply to give 984.
Prime factorization of 984
Dividing 984 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 984 are 2, 3, 41. To factorize any other number, use the prime factorization calculator.
Factor tree of 984
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 984
| Number of factors | 16 |
|---|---|
| Sum of factors | 2520 |
| Sum of proper factors | 1536 |
| Prime factorization | 2³ × 3 × 41 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 984 interesting
- 984 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.
- 984 is an abundant number: its proper factors sum to 1536, which is 552 more than 984 itself.
- 984 has 3 distinct prime factors (2, 3, 41), which is why it has so many divisors.
How to find the factors of 984 yourself
Divide 984 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 √984 ≈ 31.37, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 984.
Frequently asked questions about 984
What are the factors of 984?
Is 984 a prime number?
What is the prime factorization of 984?
What two numbers multiply to give 984?
What is the sum of the factors of 984?
Is 984 a perfect square?
What is the largest factor of 984 other than itself?
How many factors does 984 have?
Explore more
Try another number in the factor calculator, break 984 down further with the prime factorization calculator, or compare 984 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.