Divisors of 385: All 8 Factors

Divisors (Factors) Calculator

Use the calculator above to find all divisors (also called factors) of any positive integer up to 4,782,969. Beyond the divisor list, this tool also shows divisor pairs, the sum and count of divisors, prime factorization, and number properties (prime, perfect square, perfect number).

All Divisors of 385

The number 385 has 8 divisors:

1,  5,  7,  11,  35,  55,  77,  385

Divisor Pairs of 385

Each pair multiplies to 385:

Number of Divisors

The number 385 has 8 divisors, written as τ(385) = 8 in number theory.

Sum of Divisors

σ(385) = 1 + 5 + 7 + 11 + 35 + 55 + 77 + 385 = 576

Prime Factorization of 385

See the full prime factorization calculator →

Properties of 385

• 385 is composite.
• 385 is not a perfect square.
• Number of divisors: 8.
• Sum of divisors: 576.

Common Divisors with Another Number?

Looking for the divisors that 385 shares with another number? Use our Greatest Common Factor (GCF) calculator — it finds all common divisors and the largest one.

Step-by-Step: How to Find the Divisors of 385

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √385 ≈ 19.62. If i divides 385, then both i and 385/i are divisors.

1. 1 divides 385 (385 ÷ 1 = 385) → pair (1, 385)
2. 5 divides 385 (385 ÷ 5 = 77) → pair (5, 77)
3. 7 divides 385 (385 ÷ 7 = 55) → pair (7, 55)
4. 11 divides 385 (385 ÷ 11 = 35) → pair (11, 35)
5. Collect all unique values: {1, 5, 7, 11, 35, 55, 77, 385} — total 8 divisors.
6. Sum: 1 + 5 + 7 + 11 + 35 + 55 + 77 + 385 = 576.

Nearby Examples

Related Operations for 385

• Multiples of 385 — "outward" complement; M is a multiple of 385 ⇔ 385 is a divisor of M
• 385 Prime Factorization — decompose into prime building blocks
• Find GCF of 385 and another number
• Find LCM of 385 and another number
• Is 385 a perfect square? (odd divisor count ⇔ yes)

See also our tables of divisors:

• Table of all divisors from 1 to 100
• Table of all divisors from 1 to 500
• Table of all divisors from 1 to 1,000
• Table of all divisors from 1 to 10,000

What Is a Divisor?

A divisor (also called a factor) of a positive integer n is any positive integer d such that n ÷ d has no remainder. In other words, d divides n evenly.

Every positive integer n has at least two divisors: 1 and n itself (with 1 being the trivial case of having only itself). Numbers with exactly 2 divisors are prime; numbers with 3 or more divisors are composite.

Why use this calculator? Beyond just listing divisors, this tool computes the sum σ(n), the count τ(n), prime factorization, divisor pairs (useful for visual learners and factoring problems), and detects whether n is a prime, a perfect square, or a perfect number.

References

• [1] Divisor (Wikipedia)
• [2] Divisor function (Wikipedia)
• [3] Divisor (Wolfram MathWorld)

Divisors Calculation Examples

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