Factors of 511
The factors of 511 are 1, 7, 73, and 511. In total, 511 has 4 factors. Its prime factorization is 7 × 73, and the sum of all its factors is 592.
All factors of 511
Here are all 4 factors of 511, listed from smallest to largest.
Factor pairs of 511
These 2 pairs of whole numbers each multiply to give 511.
Prime factorization of 511
Dividing 511 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 511 are 7, 73. To factorize any other number, use the prime factorization calculator.
Factor tree of 511
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 511
| Number of factors | 4 |
|---|---|
| Sum of factors | 592 |
| Sum of proper factors | 81 |
| Prime factorization | 7 × 73 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 511 interesting
- 511 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.
- 511 is a deficient number: its proper factors sum to 81, which is 430 less than 511 itself.
How to find the factors of 511 yourself
Divide 511 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 √511 ≈ 22.61, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 7, 73, 511. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 511.
Frequently asked questions about 511
What are the factors of 511?
Is 511 a prime number?
What is the prime factorization of 511?
What two numbers multiply to give 511?
What is the sum of the factors of 511?
Is 511 a perfect square?
What is the largest factor of 511 other than itself?
How many factors does 511 have?
Explore more
Try another number in the factor calculator, break 511 down further with the prime factorization calculator, or compare 511 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.