Factor Calculator

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.

15711355577385

Factor pairs of 385

These 4 pairs of whole numbers each multiply to give 385.

1 × 385 = 385
5 × 77 = 385
7 × 55 = 385
11 × 35 = 385

Prime factorization of 385

Dividing 385 by the smallest prime at each step gives its prime factorization:

385 ÷ 5 = 77
77 ÷ 7 = 11
11 ÷ 11 = 1
Result: 385 = 5 × 7 × 11 = 5 × 7 × 11

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.

Factor tree of 385385577711
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 385

Number of factors8
Sum of factors576
Sum of proper factors191
Prime factorization5 × 7 × 11
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

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 √38519.62, because every factor above that pairs with one below it.

385 ÷ 1 = 385
385 ÷ 5 = 77
385 ÷ 7 = 55
385 ÷ 11 = 35

Reading both columns gives every factor: 1, 5, 7, 11, 35, 55, 77, 385. The factor calculator does this automatically for any number.

Frequently asked questions about 385

What are the factors of 385?

The factors of 385 are 1, 5, 7, 11, 35, 55, 77, and 385. That is 8 factors in total, counting both 1 and 385.

Is 385 a prime number?

No, 385 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 385 is also divisible by 5.

What is the prime factorization of 385?

The prime factorization of 385 is 5 × 7 × 11. Written out in full: 5 × 7 × 11 = 385. Its distinct prime factors are 5, 7, 11.

What two numbers multiply to give 385?

There are 4 pairs of whole numbers that multiply to 385: 1 × 385, 5 × 77, 7 × 55, 11 × 35.

What is the sum of the factors of 385?

Adding all the factors of 385 together gives 576. Excluding 385 itself, the proper factors sum to 191.

Is 385 a perfect square?

No, 385 is not a perfect square. There is no whole number that multiplies by itself to give 385. The nearest perfect squares are 361 and 400.

What is the largest factor of 385 other than itself?

The largest factor of 385 apart from 385 itself is 77, since 385 ÷ 77 = 5.

How many factors does 385 have?

385 has 8 factors: 1, 5, 7, 11, 35, 55, 77, and 385. You can verify this from the prime factorization 5 × 7 × 11: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

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.