Factors of 867
The factors of 867 are 1, 3, 17, 51, 289, and 867. In total, 867 has 6 factors. Its prime factorization is 3 × 17², and the sum of all its factors is 1228.
All factors of 867
Here are all 6 factors of 867, listed from smallest to largest.
Factor pairs of 867
These 3 pairs of whole numbers each multiply to give 867.
Prime factorization of 867
Dividing 867 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 867 are 3, 17. To factorize any other number, use the prime factorization calculator.
Factor tree of 867
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 867
| Number of factors | 6 |
|---|---|
| Sum of factors | 1228 |
| Sum of proper factors | 361 |
| Prime factorization | 3 × 17² |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 867 interesting
- 867 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.
- 867 is a deficient number: its proper factors sum to 361, which is 506 less than 867 itself.
How to find the factors of 867 yourself
Divide 867 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 √867 ≈ 29.44, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 17, 51, 289, 867. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 867.
Frequently asked questions about 867
What are the factors of 867?
Is 867 a prime number?
What is the prime factorization of 867?
What two numbers multiply to give 867?
What is the sum of the factors of 867?
Is 867 a perfect square?
What is the largest factor of 867 other than itself?
How many factors does 867 have?
Explore more
Try another number in the factor calculator, break 867 down further with the prime factorization calculator, or compare 867 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.