Is 33800 a prime number?

No. 33800 is composite — it has more than 2 divisors (it has 36).

Divisors of 33800: All 36 Factors

Q: What are the divisors of 33800?

The divisors (factors) of 33800 are 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 169, 200, 260, 325, 338, 520, 650, 676, 845, 1300, 1352, 1690, 2600, 3380, 4225, 6760, 8450, 16900, 33800.

Q: What is the sum of the divisors of 33800?

The sum is 1 + 2 + 4 + 5 + 8 + 10 + 13 + 20 + 25 + 26 + 40 + 50 + 52 + 65 + 100 + 104 + 130 + 169 + 200 + 260 + 325 + 338 + 520 + 650 + 676 + 845 + 1300 + 1352 + 1690 + 2600 + 3380 + 4225 + 6760 + 8450 + 16900 + 33800 = 85095.

Quick Answer

33800 has 36 divisors (factors): 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 169, 200, 260, 325, 338, 520, 650, 676, 845, 1300, 1352, 1690, 2600, 3380, 4225, 6760, 8450, 16900, 33800.

Sum: 85095.

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 33800

The number 33800 has 36 divisors:

1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 169, 200, 260, 325, 338, 520, 650, 676, 845, 1300, 1352, 1690, 2600, 3380, 4225, 6760, 8450, 16900, 33800

Divisor Pairs of 33800

Each pair multiplies to 33800:

Factor 1	×	Factor 2	=	Product
1	×	33800	=	33800
2	×	16900	=	33800
4	×	8450	=	33800
5	×	6760	=	33800
8	×	4225	=	33800
10	×	3380	=	33800
13	×	2600	=	33800
20	×	1690	=	33800
25	×	1352	=	33800
26	×	1300	=	33800
40	×	845	=	33800
50	×	676	=	33800
52	×	650	=	33800
65	×	520	=	33800
100	×	338	=	33800
104	×	325	=	33800
130	×	260	=	33800
169	×	200	=	33800

Number of Divisors

The number 33800 has 36 divisors, written as τ(33800) = 36 in number theory.

Sum of Divisors

σ(33800) = 1 + 2 + 4 + 5 + 8 + 10 + 13 + 20 + 25 + 26 + 40 + 50 + 52 + 65 + 100 + 104 + 130 + 169 + 200 + 260 + 325 + 338 + 520 + 650 + 676 + 845 + 1300 + 1352 + 1690 + 2600 + 3380 + 4225 + 6760 + 8450 + 16900 + 33800 = 85095

Prime Factorization of 33800

See the full prime factorization calculator →

Properties of 33800

33800 is composite.
33800 is not a perfect square.
Number of divisors: 36.
Sum of divisors: 85095.

Common Divisors with Another Number?

Looking for the divisors that 33800 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 33800

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √33800 ≈ 183.85. If i divides 33800, then both i and 33800/i are divisors.

1 divides 33800 (33800 ÷ 1 = 33800) → pair (1, 33800)
2 divides 33800 (33800 ÷ 2 = 16900) → pair (2, 16900)
4 divides 33800 (33800 ÷ 4 = 8450) → pair (4, 8450)
5 divides 33800 (33800 ÷ 5 = 6760) → pair (5, 6760)
8 divides 33800 (33800 ÷ 8 = 4225) → pair (8, 4225)
10 divides 33800 (33800 ÷ 10 = 3380) → pair (10, 3380)
13 divides 33800 (33800 ÷ 13 = 2600) → pair (13, 2600)
20 divides 33800 (33800 ÷ 20 = 1690) → pair (20, 1690)
25 divides 33800 (33800 ÷ 25 = 1352) → pair (25, 1352)
26 divides 33800 (33800 ÷ 26 = 1300) → pair (26, 1300)
40 divides 33800 (33800 ÷ 40 = 845) → pair (40, 845)
50 divides 33800 (33800 ÷ 50 = 676) → pair (50, 676)
52 divides 33800 (33800 ÷ 52 = 650) → pair (52, 650)
65 divides 33800 (33800 ÷ 65 = 520) → pair (65, 520)
100 divides 33800 (33800 ÷ 100 = 338) → pair (100, 338)
104 divides 33800 (33800 ÷ 104 = 325) → pair (104, 325)
130 divides 33800 (33800 ÷ 130 = 260) → pair (130, 260)
169 divides 33800 (33800 ÷ 169 = 200) → pair (169, 200)
Collect all unique values: {1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 169, 200, 260, 325, 338, 520, 650, 676, 845, 1300, 1352, 1690, 2600, 3380, 4225, 6760, 8450, 16900, 33800} — total 36 divisors.
Sum: 1 + 2 + 4 + 5 + 8 + 10 + 13 + 20 + 25 + 26 + 40 + 50 + 52 + 65 + 100 + 104 + 130 + 169 + 200 + 260 + 325 + 338 + 520 + 650 + 676 + 845 + 1300 + 1352 + 1690 + 2600 + 3380 + 4225 + 6760 + 8450 + 16900 + 33800 = 85095.

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 33800

Multiples of a Number — "outward" complement of divisors
33800 Prime Factorization — decompose into prime building blocks
Find GCF of 33800 and another number
Find LCM of 33800 and another number
Is 33800 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