Factors of 93
The factors of 93 are 1, 3, 31, and 93. In total, 93 has 4 factors. Its prime factorization is 3 × 31, and the sum of all its factors is 128.
All factors of 93
Here are all 4 factors of 93, listed from smallest to largest.
Factor pairs of 93
These 2 pairs of whole numbers each multiply to give 93.
Prime factorization of 93
Dividing 93 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 93 are 3, 31. To factorize any other number, use the prime factorization calculator.
Factor tree of 93
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 93
| Number of factors | 4 |
|---|---|
| Sum of factors | 128 |
| Sum of proper factors | 35 |
| Prime factorization | 3 × 31 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 93 interesting
- 93 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.
- 93 is a deficient number: its proper factors sum to 35, which is 58 less than 93 itself.
How to find the factors of 93 yourself
Divide 93 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 √93 ≈ 9.64, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 31, 93. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 93.
Frequently asked questions about 93
What are the factors of 93?
Is 93 a prime number?
What is the prime factorization of 93?
What two numbers multiply to give 93?
What is the sum of the factors of 93?
Is 93 a perfect square?
What is the largest factor of 93 other than itself?
How many factors does 93 have?
Explore more
Try another number in the factor calculator, break 93 down further with the prime factorization calculator, or compare 93 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.