Factors of 927
The factors of 927 are 1, 3, 9, 103, 309, and 927. In total, 927 has 6 factors. Its prime factorization is 3² × 103, and the sum of all its factors is 1352.
All factors of 927
Here are all 6 factors of 927, listed from smallest to largest.
Factor pairs of 927
These 3 pairs of whole numbers each multiply to give 927.
Prime factorization of 927
Dividing 927 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 927 are 3, 103. To factorize any other number, use the prime factorization calculator.
Factor tree of 927
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 927
| Number of factors | 6 |
|---|---|
| Sum of factors | 1352 |
| Sum of proper factors | 425 |
| Prime factorization | 3² × 103 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 927 interesting
- 927 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
- 927 is a deficient number: its proper factors sum to 425, which is 502 less than 927 itself.
How to find the factors of 927 yourself
Divide 927 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 √927 ≈ 30.45, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 9, 103, 309, 927. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 927.
Frequently asked questions about 927
What are the factors of 927?
Is 927 a prime number?
What is the prime factorization of 927?
What two numbers multiply to give 927?
What is the sum of the factors of 927?
Is 927 a perfect square?
What is the largest factor of 927 other than itself?
How many factors does 927 have?
Explore more
Try another number in the factor calculator, break 927 down further with the prime factorization calculator, or compare 927 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.