Factors of 1067
The factors of 1067 are 1, 11, 97, and 1067. In total, 1067 has 4 factors. Its prime factorization is 11 × 97, and the sum of all its factors is 1176.
All factors of 1067
Here are all 4 factors of 1067, listed from smallest to largest.
Factor pairs of 1067
These 2 pairs of whole numbers each multiply to give 1067.
Prime factorization of 1067
Dividing 1067 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1067 are 11, 97. To factorize any other number, use the prime factorization calculator.
Factor tree of 1067
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1067
| Number of factors | 4 |
|---|---|
| Sum of factors | 1176 |
| Sum of proper factors | 109 |
| Prime factorization | 11 × 97 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 1067 interesting
- 1067 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.
- 1067 is a deficient number: its proper factors sum to 109, which is 958 less than 1067 itself.
How to find the factors of 1067 yourself
Divide 1067 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 √1067 ≈ 32.66, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 11, 97, 1067. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1067.
Frequently asked questions about 1067
What are the factors of 1067?
Is 1067 a prime number?
What is the prime factorization of 1067?
What two numbers multiply to give 1067?
What is the sum of the factors of 1067?
Is 1067 a perfect square?
What is the largest factor of 1067 other than itself?
How many factors does 1067 have?
Explore more
Try another number in the factor calculator, break 1067 down further with the prime factorization calculator, or compare 1067 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.