Factors of 385
The factors of 385 are 1, 5, 7, 11, 35, 55, 77, and 385. In total, 385 has 8 factors. Its prime factorization is 5 × 7 × 11, and the sum of all its factors is 576.
All factors of 385
Here are all 8 factors of 385, listed from smallest to largest.
Factor pairs of 385
These 4 pairs of whole numbers each multiply to give 385.
Prime factorization of 385
Dividing 385 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 385 are 5, 7, 11. To factorize any other number, use the prime factorization calculator.
Factor tree of 385
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 385
| Number of factors | 8 |
|---|---|
| Sum of factors | 576 |
| Sum of proper factors | 191 |
| Prime factorization | 5 × 7 × 11 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 385 interesting
- 385 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
- 385 is a deficient number: its proper factors sum to 191, which is 194 less than 385 itself.
- 385 has 3 distinct prime factors (5, 7, 11), which is why it has so many divisors.
How to find the factors of 385 yourself
Divide 385 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 √385 ≈ 19.62, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 5, 7, 11, 35, 55, 77, 385. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 385.
Frequently asked questions about 385
What are the factors of 385?
Is 385 a prime number?
What is the prime factorization of 385?
What two numbers multiply to give 385?
What is the sum of the factors of 385?
Is 385 a perfect square?
What is the largest factor of 385 other than itself?
How many factors does 385 have?
Explore more
Try another number in the factor calculator, break 385 down further with the prime factorization calculator, or compare 385 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.