Is 38000 a prime number?

No. 38000 is composite — it has more than 2 divisors (it has 40).

Divisors of 38000: All 40 Factors

Q: What are the divisors of 38000?

The divisors (factors) of 38000 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 125, 152, 190, 200, 250, 304, 380, 400, 475, 500, 760, 950, 1000, 1520, 1900, 2000, 2375, 3800, 4750, 7600, 9500, 19000, 38000.

Q: What is the sum of the divisors of 38000?

The sum is 1 + 2 + 4 + 5 + 8 + 10 + 16 + 19 + 20 + 25 + 38 + 40 + 50 + 76 + 80 + 95 + 100 + 125 + 152 + 190 + 200 + 250 + 304 + 380 + 400 + 475 + 500 + 760 + 950 + 1000 + 1520 + 1900 + 2000 + 2375 + 3800 + 4750 + 7600 + 9500 + 19000 + 38000 = 96720.

Quick Answer

38000 has 40 divisors (factors): 1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 125, 152, 190, 200, 250, 304, 380, 400, 475, 500, 760, 950, 1000, 1520, 1900, 2000, 2375, 3800, 4750, 7600, 9500, 19000, 38000.

Sum: 96720.

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 38000

The number 38000 has 40 divisors:

1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 125, 152, 190, 200, 250, 304, 380, 400, 475, 500, 760, 950, 1000, 1520, 1900, 2000, 2375, 3800, 4750, 7600, 9500, 19000, 38000

Divisor Pairs of 38000

Each pair multiplies to 38000:

Factor 1	×	Factor 2	=	Product
1	×	38000	=	38000
2	×	19000	=	38000
4	×	9500	=	38000
5	×	7600	=	38000
8	×	4750	=	38000
10	×	3800	=	38000
16	×	2375	=	38000
19	×	2000	=	38000
20	×	1900	=	38000
25	×	1520	=	38000
38	×	1000	=	38000
40	×	950	=	38000
50	×	760	=	38000
76	×	500	=	38000
80	×	475	=	38000
95	×	400	=	38000
100	×	380	=	38000
125	×	304	=	38000
152	×	250	=	38000
190	×	200	=	38000

Number of Divisors

The number 38000 has 40 divisors, written as τ(38000) = 40 in number theory.

Sum of Divisors

σ(38000) = 1 + 2 + 4 + 5 + 8 + 10 + 16 + 19 + 20 + 25 + 38 + 40 + 50 + 76 + 80 + 95 + 100 + 125 + 152 + 190 + 200 + 250 + 304 + 380 + 400 + 475 + 500 + 760 + 950 + 1000 + 1520 + 1900 + 2000 + 2375 + 3800 + 4750 + 7600 + 9500 + 19000 + 38000 = 96720

Prime Factorization of 38000

See the full prime factorization calculator →

Properties of 38000

38000 is composite.
38000 is not a perfect square.
Number of divisors: 40.
Sum of divisors: 96720.

Common Divisors with Another Number?

Looking for the divisors that 38000 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 38000

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √38000 ≈ 194.94. If i divides 38000, then both i and 38000/i are divisors.

1 divides 38000 (38000 ÷ 1 = 38000) → pair (1, 38000)
2 divides 38000 (38000 ÷ 2 = 19000) → pair (2, 19000)
4 divides 38000 (38000 ÷ 4 = 9500) → pair (4, 9500)
5 divides 38000 (38000 ÷ 5 = 7600) → pair (5, 7600)
8 divides 38000 (38000 ÷ 8 = 4750) → pair (8, 4750)
10 divides 38000 (38000 ÷ 10 = 3800) → pair (10, 3800)
16 divides 38000 (38000 ÷ 16 = 2375) → pair (16, 2375)
19 divides 38000 (38000 ÷ 19 = 2000) → pair (19, 2000)
20 divides 38000 (38000 ÷ 20 = 1900) → pair (20, 1900)
25 divides 38000 (38000 ÷ 25 = 1520) → pair (25, 1520)
38 divides 38000 (38000 ÷ 38 = 1000) → pair (38, 1000)
40 divides 38000 (38000 ÷ 40 = 950) → pair (40, 950)
50 divides 38000 (38000 ÷ 50 = 760) → pair (50, 760)
76 divides 38000 (38000 ÷ 76 = 500) → pair (76, 500)
80 divides 38000 (38000 ÷ 80 = 475) → pair (80, 475)
95 divides 38000 (38000 ÷ 95 = 400) → pair (95, 400)
100 divides 38000 (38000 ÷ 100 = 380) → pair (100, 380)
125 divides 38000 (38000 ÷ 125 = 304) → pair (125, 304)
152 divides 38000 (38000 ÷ 152 = 250) → pair (152, 250)
190 divides 38000 (38000 ÷ 190 = 200) → pair (190, 200)
Collect all unique values: {1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 125, 152, 190, 200, 250, 304, 380, 400, 475, 500, 760, 950, 1000, 1520, 1900, 2000, 2375, 3800, 4750, 7600, 9500, 19000, 38000} — total 40 divisors.
Sum: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 19 + 20 + 25 + 38 + 40 + 50 + 76 + 80 + 95 + 100 + 125 + 152 + 190 + 200 + 250 + 304 + 380 + 400 + 475 + 500 + 760 + 950 + 1000 + 1520 + 1900 + 2000 + 2375 + 3800 + 4750 + 7600 + 9500 + 19000 + 38000 = 96720.

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 38000

Multiples of a Number — "outward" complement of divisors
38000 Prime Factorization — decompose into prime building blocks
Find GCF of 38000 and another number
Find LCM of 38000 and another number
Is 38000 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