Is 26000 a prime number?

No. 26000 is composite — it has more than 2 divisors (it has 40).

Divisors of 26000: All 40 Factors

Q: What are the divisors of 26000?

The divisors (factors) of 26000 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 125, 130, 200, 208, 250, 260, 325, 400, 500, 520, 650, 1000, 1040, 1300, 1625, 2000, 2600, 3250, 5200, 6500, 13000, 26000.

Q: What is the sum of the divisors of 26000?

The sum is 1 + 2 + 4 + 5 + 8 + 10 + 13 + 16 + 20 + 25 + 26 + 40 + 50 + 52 + 65 + 80 + 100 + 104 + 125 + 130 + 200 + 208 + 250 + 260 + 325 + 400 + 500 + 520 + 650 + 1000 + 1040 + 1300 + 1625 + 2000 + 2600 + 3250 + 5200 + 6500 + 13000 + 26000 = 67704.

Quick Answer

26000 has 40 divisors (factors): 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 125, 130, 200, 208, 250, 260, 325, 400, 500, 520, 650, 1000, 1040, 1300, 1625, 2000, 2600, 3250, 5200, 6500, 13000, 26000.

Sum: 67704.

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 26000

The number 26000 has 40 divisors:

1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 125, 130, 200, 208, 250, 260, 325, 400, 500, 520, 650, 1000, 1040, 1300, 1625, 2000, 2600, 3250, 5200, 6500, 13000, 26000

Divisor Pairs of 26000

Each pair multiplies to 26000:

Factor 1	×	Factor 2	=	Product
1	×	26000	=	26000
2	×	13000	=	26000
4	×	6500	=	26000
5	×	5200	=	26000
8	×	3250	=	26000
10	×	2600	=	26000
13	×	2000	=	26000
16	×	1625	=	26000
20	×	1300	=	26000
25	×	1040	=	26000
26	×	1000	=	26000
40	×	650	=	26000
50	×	520	=	26000
52	×	500	=	26000
65	×	400	=	26000
80	×	325	=	26000
100	×	260	=	26000
104	×	250	=	26000
125	×	208	=	26000
130	×	200	=	26000

Number of Divisors

The number 26000 has 40 divisors, written as τ(26000) = 40 in number theory.

Sum of Divisors

σ(26000) = 1 + 2 + 4 + 5 + 8 + 10 + 13 + 16 + 20 + 25 + 26 + 40 + 50 + 52 + 65 + 80 + 100 + 104 + 125 + 130 + 200 + 208 + 250 + 260 + 325 + 400 + 500 + 520 + 650 + 1000 + 1040 + 1300 + 1625 + 2000 + 2600 + 3250 + 5200 + 6500 + 13000 + 26000 = 67704

Prime Factorization of 26000

See the full prime factorization calculator →

Properties of 26000

26000 is composite.
26000 is not a perfect square.
Number of divisors: 40.
Sum of divisors: 67704.

Common Divisors with Another Number?

Looking for the divisors that 26000 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 26000

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √26000 ≈ 161.25. If i divides 26000, then both i and 26000/i are divisors.

1 divides 26000 (26000 ÷ 1 = 26000) → pair (1, 26000)
2 divides 26000 (26000 ÷ 2 = 13000) → pair (2, 13000)
4 divides 26000 (26000 ÷ 4 = 6500) → pair (4, 6500)
5 divides 26000 (26000 ÷ 5 = 5200) → pair (5, 5200)
8 divides 26000 (26000 ÷ 8 = 3250) → pair (8, 3250)
10 divides 26000 (26000 ÷ 10 = 2600) → pair (10, 2600)
13 divides 26000 (26000 ÷ 13 = 2000) → pair (13, 2000)
16 divides 26000 (26000 ÷ 16 = 1625) → pair (16, 1625)
20 divides 26000 (26000 ÷ 20 = 1300) → pair (20, 1300)
25 divides 26000 (26000 ÷ 25 = 1040) → pair (25, 1040)
26 divides 26000 (26000 ÷ 26 = 1000) → pair (26, 1000)
40 divides 26000 (26000 ÷ 40 = 650) → pair (40, 650)
50 divides 26000 (26000 ÷ 50 = 520) → pair (50, 520)
52 divides 26000 (26000 ÷ 52 = 500) → pair (52, 500)
65 divides 26000 (26000 ÷ 65 = 400) → pair (65, 400)
80 divides 26000 (26000 ÷ 80 = 325) → pair (80, 325)
100 divides 26000 (26000 ÷ 100 = 260) → pair (100, 260)
104 divides 26000 (26000 ÷ 104 = 250) → pair (104, 250)
125 divides 26000 (26000 ÷ 125 = 208) → pair (125, 208)
130 divides 26000 (26000 ÷ 130 = 200) → pair (130, 200)
Collect all unique values: {1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 125, 130, 200, 208, 250, 260, 325, 400, 500, 520, 650, 1000, 1040, 1300, 1625, 2000, 2600, 3250, 5200, 6500, 13000, 26000} — total 40 divisors.
Sum: 1 + 2 + 4 + 5 + 8 + 10 + 13 + 16 + 20 + 25 + 26 + 40 + 50 + 52 + 65 + 80 + 100 + 104 + 125 + 130 + 200 + 208 + 250 + 260 + 325 + 400 + 500 + 520 + 650 + 1000 + 1040 + 1300 + 1625 + 2000 + 2600 + 3250 + 5200 + 6500 + 13000 + 26000 = 67704.

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 26000

Multiples of a Number — "outward" complement of divisors
26000 Prime Factorization — decompose into prime building blocks
Find GCF of 26000 and another number
Find LCM of 26000 and another number
Is 26000 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

Find all divisors of these numbers:

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