Factors of 992
The factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, and 992. In total, 992 has 12 factors. Its prime factorization is 2⁵ × 31, and the sum of all its factors is 2016.
All factors of 992
Here are all 12 factors of 992, listed from smallest to largest.
Factor pairs of 992
These 6 pairs of whole numbers each multiply to give 992.
Prime factorization of 992
Dividing 992 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 992 are 2, 31. To factorize any other number, use the prime factorization calculator.
Factor tree of 992
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 992
| Number of factors | 12 |
|---|---|
| Sum of factors | 2016 |
| Sum of proper factors | 1024 |
| Prime factorization | 2⁵ × 31 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 992 interesting
- 992 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.
- 992 is an abundant number: its proper factors sum to 1024, which is 32 more than 992 itself.
How to find the factors of 992 yourself
Divide 992 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 √992 ≈ 31.50, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 992.
Frequently asked questions about 992
What are the factors of 992?
Is 992 a prime number?
What is the prime factorization of 992?
What two numbers multiply to give 992?
What is the sum of the factors of 992?
Is 992 a perfect square?
What is the largest factor of 992 other than itself?
How many factors does 992 have?
Explore more
Try another number in the factor calculator, break 992 down further with the prime factorization calculator, or compare 992 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.