Factors of 993
The factors of 993 are 1, 3, 331, and 993. In total, 993 has 4 factors. Its prime factorization is 3 × 331, and the sum of all its factors is 1328.
All factors of 993
Here are all 4 factors of 993, listed from smallest to largest.
Factor pairs of 993
These 2 pairs of whole numbers each multiply to give 993.
Prime factorization of 993
Dividing 993 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 993 are 3, 331. To factorize any other number, use the prime factorization calculator.
Factor tree of 993
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 993
| Number of factors | 4 |
|---|---|
| Sum of factors | 1328 |
| Sum of proper factors | 335 |
| Prime factorization | 3 × 331 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 993 interesting
- 993 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
- 993 is a deficient number: its proper factors sum to 335, which is 658 less than 993 itself.
How to find the factors of 993 yourself
Divide 993 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 √993 ≈ 31.51, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 331, 993. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 993.
Frequently asked questions about 993
What are the factors of 993?
Is 993 a prime number?
What is the prime factorization of 993?
What two numbers multiply to give 993?
What is the sum of the factors of 993?
Is 993 a perfect square?
What is the largest factor of 993 other than itself?
How many factors does 993 have?
Explore more
Try another number in the factor calculator, break 993 down further with the prime factorization calculator, or compare 993 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.