Divisors of 9315: All 20 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 9315

The number 9315 has 20 divisors:

1,  3,  5,  9,  15,  23,  27,  45,  69,  81,  115,  135,  207,  345,  405,  621,  1035,  1863,  3105,  9315

Divisor Pairs of 9315

Each pair multiplies to 9315:

Number of Divisors

The number 9315 has 20 divisors, written as τ(9315) = 20 in number theory.

Sum of Divisors

σ(9315) = 1 + 3 + 5 + 9 + 15 + 23 + 27 + 45 + 69 + 81 + 115 + 135 + 207 + 345 + 405 + 621 + 1035 + 1863 + 3105 + 9315 = 17424

Prime Factorization of 9315

See the full prime factorization calculator →

Properties of 9315

• 9315 is composite.
• 9315 is not a perfect square.
• Number of divisors: 20.
• Sum of divisors: 17424.

Common Divisors with Another Number?

Looking for the divisors that 9315 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 9315

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √9315 ≈ 96.51. If i divides 9315, then both i and 9315/i are divisors.

1. 1 divides 9315 (9315 ÷ 1 = 9315) → pair (1, 9315)
2. 3 divides 9315 (9315 ÷ 3 = 3105) → pair (3, 3105)
3. 5 divides 9315 (9315 ÷ 5 = 1863) → pair (5, 1863)
4. 9 divides 9315 (9315 ÷ 9 = 1035) → pair (9, 1035)
5. 15 divides 9315 (9315 ÷ 15 = 621) → pair (15, 621)
6. 23 divides 9315 (9315 ÷ 23 = 405) → pair (23, 405)
7. 27 divides 9315 (9315 ÷ 27 = 345) → pair (27, 345)
8. 45 divides 9315 (9315 ÷ 45 = 207) → pair (45, 207)
9. 69 divides 9315 (9315 ÷ 69 = 135) → pair (69, 135)
10. 81 divides 9315 (9315 ÷ 81 = 115) → pair (81, 115)
11. Collect all unique values: {1, 3, 5, 9, 15, 23, 27, 45, 69, 81, 115, 135, 207, 345, 405, 621, 1035, 1863, 3105, 9315} — total 20 divisors.
12. Sum: 1 + 3 + 5 + 9 + 15 + 23 + 27 + 45 + 69 + 81 + 115 + 135 + 207 + 345 + 405 + 621 + 1035 + 1863 + 3105 + 9315 = 17424.

Nearby Examples

Related Operations for 9315

• Multiples of 9315 — "outward" complement; M is a multiple of 9315 ⇔ 9315 is a divisor of M
• 9315 Prime Factorization — decompose into prime building blocks
• Find GCF of 9315 and another number
• Find LCM of 9315 and another number
• Is 9315 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)

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