Factors of 1009
The factors of 1009 are 1 and 1009. Since 1009 is a prime number, it has exactly 2 factors and cannot be divided evenly by any other whole number. The sum of its factors is 1010, and its prime factorization is simply 1009 itself.
All factors of 1009
Here are all 2 factors of 1009, listed from smallest to largest.
Factor pairs of 1009
There is only one factor pair for 1009, because it is prime.
Prime factorization of 1009
1009 is a prime number, so it cannot be broken down further. Its prime factorization is simply 1009.
Properties of 1009
| Number of factors | 2 |
|---|---|
| Sum of factors | 1010 |
| Sum of proper factors | 1 |
| Prime factorization | 1009 |
| Prime or composite? | Prime |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 1009 interesting
- 1009 is a prime number, so its only factors are 1 and 1009. It cannot be split into a product of two smaller whole numbers.
- Every prime number is deficient — the sum of its proper factors is always 1, which is far less than the number itself.
How to find the factors of 1009 yourself
Divide 1009 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 √1009 ≈ 31.76, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 1009. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1009.
Frequently asked questions about 1009
What are the factors of 1009?
Is 1009 a prime number?
What is the prime factorization of 1009?
What two numbers multiply to give 1009?
What is the sum of the factors of 1009?
Is 1009 a perfect square?
What is the largest factor of 1009 other than itself?
How many factors does 1009 have?
Explore more
Try another number in the factor calculator, break 1009 down further with the prime factorization calculator, or compare 1009 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.