Is 36800 a prime number?

No. 36800 is composite — it has more than 2 divisors (it has 42).

Divisors of 36800: All 42 Factors

Q: What are the divisors of 36800?

The divisors (factors) of 36800 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 32, 40, 46, 50, 64, 80, 92, 100, 115, 160, 184, 200, 230, 320, 368, 400, 460, 575, 736, 800, 920, 1150, 1472, 1600, 1840, 2300, 3680, 4600, 7360, 9200, 18400, 36800.

Q: What is the sum of the divisors of 36800?

The sum is 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 23 + 25 + 32 + 40 + 46 + 50 + 64 + 80 + 92 + 100 + 115 + 160 + 184 + 200 + 230 + 320 + 368 + 400 + 460 + 575 + 736 + 800 + 920 + 1150 + 1472 + 1600 + 1840 + 2300 + 3680 + 4600 + 7360 + 9200 + 18400 + 36800 = 94488.

Quick Answer

36800 has 42 divisors (factors): 1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 32, 40, 46, 50, 64, 80, 92, 100, 115, 160, 184, 200, 230, 320, 368, 400, 460, 575, 736, 800, 920, 1150, 1472, 1600, 1840, 2300, 3680, 4600, 7360, 9200, 18400, 36800.

Sum: 94488.

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 36800

The number 36800 has 42 divisors:

1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 32, 40, 46, 50, 64, 80, 92, 100, 115, 160, 184, 200, 230, 320, 368, 400, 460, 575, 736, 800, 920, 1150, 1472, 1600, 1840, 2300, 3680, 4600, 7360, 9200, 18400, 36800

Divisor Pairs of 36800

Each pair multiplies to 36800:

Factor 1	×	Factor 2	=	Product
1	×	36800	=	36800
2	×	18400	=	36800
4	×	9200	=	36800
5	×	7360	=	36800
8	×	4600	=	36800
10	×	3680	=	36800
16	×	2300	=	36800
20	×	1840	=	36800
23	×	1600	=	36800
25	×	1472	=	36800
32	×	1150	=	36800
40	×	920	=	36800
46	×	800	=	36800
50	×	736	=	36800
64	×	575	=	36800
80	×	460	=	36800
92	×	400	=	36800
100	×	368	=	36800
115	×	320	=	36800
160	×	230	=	36800
184	×	200	=	36800

Number of Divisors

The number 36800 has 42 divisors, written as τ(36800) = 42 in number theory.

Sum of Divisors

σ(36800) = 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 23 + 25 + 32 + 40 + 46 + 50 + 64 + 80 + 92 + 100 + 115 + 160 + 184 + 200 + 230 + 320 + 368 + 400 + 460 + 575 + 736 + 800 + 920 + 1150 + 1472 + 1600 + 1840 + 2300 + 3680 + 4600 + 7360 + 9200 + 18400 + 36800 = 94488

Prime Factorization of 36800

See the full prime factorization calculator →

Properties of 36800

36800 is composite.
36800 is not a perfect square.
Number of divisors: 42.
Sum of divisors: 94488.

Common Divisors with Another Number?

Looking for the divisors that 36800 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 36800

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √36800 ≈ 191.83. If i divides 36800, then both i and 36800/i are divisors.

1 divides 36800 (36800 ÷ 1 = 36800) → pair (1, 36800)
2 divides 36800 (36800 ÷ 2 = 18400) → pair (2, 18400)
4 divides 36800 (36800 ÷ 4 = 9200) → pair (4, 9200)
5 divides 36800 (36800 ÷ 5 = 7360) → pair (5, 7360)
8 divides 36800 (36800 ÷ 8 = 4600) → pair (8, 4600)
10 divides 36800 (36800 ÷ 10 = 3680) → pair (10, 3680)
16 divides 36800 (36800 ÷ 16 = 2300) → pair (16, 2300)
20 divides 36800 (36800 ÷ 20 = 1840) → pair (20, 1840)
23 divides 36800 (36800 ÷ 23 = 1600) → pair (23, 1600)
25 divides 36800 (36800 ÷ 25 = 1472) → pair (25, 1472)
32 divides 36800 (36800 ÷ 32 = 1150) → pair (32, 1150)
40 divides 36800 (36800 ÷ 40 = 920) → pair (40, 920)
46 divides 36800 (36800 ÷ 46 = 800) → pair (46, 800)
50 divides 36800 (36800 ÷ 50 = 736) → pair (50, 736)
64 divides 36800 (36800 ÷ 64 = 575) → pair (64, 575)
80 divides 36800 (36800 ÷ 80 = 460) → pair (80, 460)
92 divides 36800 (36800 ÷ 92 = 400) → pair (92, 400)
100 divides 36800 (36800 ÷ 100 = 368) → pair (100, 368)
115 divides 36800 (36800 ÷ 115 = 320) → pair (115, 320)
160 divides 36800 (36800 ÷ 160 = 230) → pair (160, 230)
184 divides 36800 (36800 ÷ 184 = 200) → pair (184, 200)
Collect all unique values: {1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 32, 40, 46, 50, 64, 80, 92, 100, 115, 160, 184, 200, 230, 320, 368, 400, 460, 575, 736, 800, 920, 1150, 1472, 1600, 1840, 2300, 3680, 4600, 7360, 9200, 18400, 36800} — total 42 divisors.
Sum: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 23 + 25 + 32 + 40 + 46 + 50 + 64 + 80 + 92 + 100 + 115 + 160 + 184 + 200 + 230 + 320 + 368 + 400 + 460 + 575 + 736 + 800 + 920 + 1150 + 1472 + 1600 + 1840 + 2300 + 3680 + 4600 + 7360 + 9200 + 18400 + 36800 = 94488.

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 36800

Multiples of a Number — "outward" complement of divisors
36800 Prime Factorization — decompose into prime building blocks
Find GCF of 36800 and another number
Find LCM of 36800 and another number
Is 36800 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