Is 55000 a prime number?

No. 55000 is composite — it has more than 2 divisors (it has 40).

Divisors of 55000: All 40 Factors

Q: What are the divisors of 55000?

The divisors (factors) of 55000 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 125, 200, 220, 250, 275, 440, 500, 550, 625, 1000, 1100, 1250, 1375, 2200, 2500, 2750, 5000, 5500, 6875, 11000, 13750, 27500, 55000.

Q: What is the sum of the divisors of 55000?

The sum is 1 + 2 + 4 + 5 + 8 + 10 + 11 + 20 + 22 + 25 + 40 + 44 + 50 + 55 + 88 + 100 + 110 + 125 + 200 + 220 + 250 + 275 + 440 + 500 + 550 + 625 + 1000 + 1100 + 1250 + 1375 + 2200 + 2500 + 2750 + 5000 + 5500 + 6875 + 11000 + 13750 + 27500 + 55000 = 140580.

Quick Answer

55000 has 40 divisors (factors): 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 125, 200, 220, 250, 275, 440, 500, 550, 625, 1000, 1100, 1250, 1375, 2200, 2500, 2750, 5000, 5500, 6875, 11000, 13750, 27500, 55000.

Sum: 140580.

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 55000

The number 55000 has 40 divisors:

1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 125, 200, 220, 250, 275, 440, 500, 550, 625, 1000, 1100, 1250, 1375, 2200, 2500, 2750, 5000, 5500, 6875, 11000, 13750, 27500, 55000

Divisor Pairs of 55000

Each pair multiplies to 55000:

Factor 1	×	Factor 2	=	Product
1	×	55000	=	55000
2	×	27500	=	55000
4	×	13750	=	55000
5	×	11000	=	55000
8	×	6875	=	55000
10	×	5500	=	55000
11	×	5000	=	55000
20	×	2750	=	55000
22	×	2500	=	55000
25	×	2200	=	55000
40	×	1375	=	55000
44	×	1250	=	55000
50	×	1100	=	55000
55	×	1000	=	55000
88	×	625	=	55000
100	×	550	=	55000
110	×	500	=	55000
125	×	440	=	55000
200	×	275	=	55000
220	×	250	=	55000

Number of Divisors

The number 55000 has 40 divisors, written as τ(55000) = 40 in number theory.

Sum of Divisors

σ(55000) = 1 + 2 + 4 + 5 + 8 + 10 + 11 + 20 + 22 + 25 + 40 + 44 + 50 + 55 + 88 + 100 + 110 + 125 + 200 + 220 + 250 + 275 + 440 + 500 + 550 + 625 + 1000 + 1100 + 1250 + 1375 + 2200 + 2500 + 2750 + 5000 + 5500 + 6875 + 11000 + 13750 + 27500 + 55000 = 140580

Prime Factorization of 55000

See the full prime factorization calculator →

Properties of 55000

55000 is composite.
55000 is not a perfect square.
Number of divisors: 40.
Sum of divisors: 140580.

Common Divisors with Another Number?

Looking for the divisors that 55000 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 55000

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √55000 ≈ 234.52. If i divides 55000, then both i and 55000/i are divisors.

1 divides 55000 (55000 ÷ 1 = 55000) → pair (1, 55000)
2 divides 55000 (55000 ÷ 2 = 27500) → pair (2, 27500)
4 divides 55000 (55000 ÷ 4 = 13750) → pair (4, 13750)
5 divides 55000 (55000 ÷ 5 = 11000) → pair (5, 11000)
8 divides 55000 (55000 ÷ 8 = 6875) → pair (8, 6875)
10 divides 55000 (55000 ÷ 10 = 5500) → pair (10, 5500)
11 divides 55000 (55000 ÷ 11 = 5000) → pair (11, 5000)
20 divides 55000 (55000 ÷ 20 = 2750) → pair (20, 2750)
22 divides 55000 (55000 ÷ 22 = 2500) → pair (22, 2500)
25 divides 55000 (55000 ÷ 25 = 2200) → pair (25, 2200)
40 divides 55000 (55000 ÷ 40 = 1375) → pair (40, 1375)
44 divides 55000 (55000 ÷ 44 = 1250) → pair (44, 1250)
50 divides 55000 (55000 ÷ 50 = 1100) → pair (50, 1100)
55 divides 55000 (55000 ÷ 55 = 1000) → pair (55, 1000)
88 divides 55000 (55000 ÷ 88 = 625) → pair (88, 625)
100 divides 55000 (55000 ÷ 100 = 550) → pair (100, 550)
110 divides 55000 (55000 ÷ 110 = 500) → pair (110, 500)
125 divides 55000 (55000 ÷ 125 = 440) → pair (125, 440)
200 divides 55000 (55000 ÷ 200 = 275) → pair (200, 275)
220 divides 55000 (55000 ÷ 220 = 250) → pair (220, 250)
Collect all unique values: {1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 125, 200, 220, 250, 275, 440, 500, 550, 625, 1000, 1100, 1250, 1375, 2200, 2500, 2750, 5000, 5500, 6875, 11000, 13750, 27500, 55000} — total 40 divisors.
Sum: 1 + 2 + 4 + 5 + 8 + 10 + 11 + 20 + 22 + 25 + 40 + 44 + 50 + 55 + 88 + 100 + 110 + 125 + 200 + 220 + 250 + 275 + 440 + 500 + 550 + 625 + 1000 + 1100 + 1250 + 1375 + 2200 + 2500 + 2750 + 5000 + 5500 + 6875 + 11000 + 13750 + 27500 + 55000 = 140580.

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 55000

Multiples of a Number — "outward" complement of divisors
55000 Prime Factorization — decompose into prime building blocks
Find GCF of 55000 and another number
Find LCM of 55000 and another number
Is 55000 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