Factors of 1167
The factors of 1167 are 1, 3, 389, and 1167. In total, 1167 has 4 factors. Its prime factorization is 3 × 389, and the sum of all its factors is 1560.
All factors of 1167
Here are all 4 factors of 1167, listed from smallest to largest.
Factor pairs of 1167
These 2 pairs of whole numbers each multiply to give 1167.
Prime factorization of 1167
Dividing 1167 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1167 are 3, 389. To factorize any other number, use the prime factorization calculator.
Factor tree of 1167
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1167
| Number of factors | 4 |
|---|---|
| Sum of factors | 1560 |
| Sum of proper factors | 393 |
| Prime factorization | 3 × 389 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 1167 interesting
- 1167 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.
- 1167 is a deficient number: its proper factors sum to 393, which is 774 less than 1167 itself.
How to find the factors of 1167 yourself
Divide 1167 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 √1167 ≈ 34.16, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 389, 1167. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1167.
Frequently asked questions about 1167
What are the factors of 1167?
Is 1167 a prime number?
What is the prime factorization of 1167?
What two numbers multiply to give 1167?
What is the sum of the factors of 1167?
Is 1167 a perfect square?
What is the largest factor of 1167 other than itself?
How many factors does 1167 have?
Explore more
Try another number in the factor calculator, break 1167 down further with the prime factorization calculator, or compare 1167 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.