Is 9520 a prime number?

No. 9520 is composite — it has more than 2 divisors (it has 40).

Divisors of 9520: All 40 Factors

Q: What are the divisors of 9520?

The divisors (factors) of 9520 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520.

Q: What is the sum of the divisors of 9520?

The sum is 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 16 + 17 + 20 + 28 + 34 + 35 + 40 + 56 + 68 + 70 + 80 + 85 + 112 + 119 + 136 + 140 + 170 + 238 + 272 + 280 + 340 + 476 + 560 + 595 + 680 + 952 + 1190 + 1360 + 1904 + 2380 + 4760 + 9520 = 26784.

Quick Answer

9520 has 40 divisors (factors): 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520.

Sum: 26784.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

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 9520

The number 9520 has 40 divisors:

1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520

Divisor Pairs of 9520

Each pair multiplies to 9520:

Factor 1	×	Factor 2	=	Product
1	×	9520	=	9520
2	×	4760	=	9520
4	×	2380	=	9520
5	×	1904	=	9520
7	×	1360	=	9520
8	×	1190	=	9520
10	×	952	=	9520
14	×	680	=	9520
16	×	595	=	9520
17	×	560	=	9520
20	×	476	=	9520
28	×	340	=	9520
34	×	280	=	9520
35	×	272	=	9520
40	×	238	=	9520
56	×	170	=	9520
68	×	140	=	9520
70	×	136	=	9520
80	×	119	=	9520
85	×	112	=	9520

Number of Divisors

The number 9520 has 40 divisors, written as τ(9520) = 40 in number theory.

Sum of Divisors

σ(9520) = 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 16 + 17 + 20 + 28 + 34 + 35 + 40 + 56 + 68 + 70 + 80 + 85 + 112 + 119 + 136 + 140 + 170 + 238 + 272 + 280 + 340 + 476 + 560 + 595 + 680 + 952 + 1190 + 1360 + 1904 + 2380 + 4760 + 9520 = 26784

Prime Factorization of 9520

See the full prime factorization calculator →

Properties of 9520

9520 is composite.
9520 is not a perfect square.
Number of divisors: 40.
Sum of divisors: 26784.

Common Divisors with Another Number?

Looking for the divisors that 9520 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 9520

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √9520 ≈ 97.57. If i divides 9520, then both i and 9520/i are divisors.

1 divides 9520 (9520 ÷ 1 = 9520) → pair (1, 9520)
2 divides 9520 (9520 ÷ 2 = 4760) → pair (2, 4760)
4 divides 9520 (9520 ÷ 4 = 2380) → pair (4, 2380)
5 divides 9520 (9520 ÷ 5 = 1904) → pair (5, 1904)
7 divides 9520 (9520 ÷ 7 = 1360) → pair (7, 1360)
8 divides 9520 (9520 ÷ 8 = 1190) → pair (8, 1190)
10 divides 9520 (9520 ÷ 10 = 952) → pair (10, 952)
14 divides 9520 (9520 ÷ 14 = 680) → pair (14, 680)
16 divides 9520 (9520 ÷ 16 = 595) → pair (16, 595)
17 divides 9520 (9520 ÷ 17 = 560) → pair (17, 560)
20 divides 9520 (9520 ÷ 20 = 476) → pair (20, 476)
28 divides 9520 (9520 ÷ 28 = 340) → pair (28, 340)
34 divides 9520 (9520 ÷ 34 = 280) → pair (34, 280)
35 divides 9520 (9520 ÷ 35 = 272) → pair (35, 272)
40 divides 9520 (9520 ÷ 40 = 238) → pair (40, 238)
56 divides 9520 (9520 ÷ 56 = 170) → pair (56, 170)
68 divides 9520 (9520 ÷ 68 = 140) → pair (68, 140)
70 divides 9520 (9520 ÷ 70 = 136) → pair (70, 136)
80 divides 9520 (9520 ÷ 80 = 119) → pair (80, 119)
85 divides 9520 (9520 ÷ 85 = 112) → pair (85, 112)
Collect all unique values: {1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520} — total 40 divisors.
Sum: 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 16 + 17 + 20 + 28 + 34 + 35 + 40 + 56 + 68 + 70 + 80 + 85 + 112 + 119 + 136 + 140 + 170 + 238 + 272 + 280 + 340 + 476 + 560 + 595 + 680 + 952 + 1190 + 1360 + 1904 + 2380 + 4760 + 9520 = 26784.

Nearby Examples

n	divisors count	sum σ(n)
360	24	1170
240	20	744
180	18	546
144	15	403
120	16	360
100	9	217
90	12	234
84	12	224

Related Operations for 9520

Multiples of 9520 — "outward" complement; M is a multiple of 9520 ⇔ 9520 is a divisor of M
9520 Prime Factorization — decompose into prime building blocks
Find GCF of 9520 and another number
Find LCM of 9520 and another number
Is 9520 a perfect square? (odd divisor count ⇔ yes)

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

Divisors Calculation Examples

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Related Calculators

Multiples of a Number — "outward" complement
Prime Factorization — product of prime divisors
Greatest Common Factor (GCF) — largest common divisor of 2+ numbers
Least Common Multiple (LCM) — smallest common multiple
Is N a Perfect Square? — odd divisor count check