Is 14000 a prime number?

No. 14000 is composite — it has more than 2 divisors (it has 40).

Divisors of 14000: All 40 Factors

Q: What are the divisors of 14000?

The divisors (factors) of 14000 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 125, 140, 175, 200, 250, 280, 350, 400, 500, 560, 700, 875, 1000, 1400, 1750, 2000, 2800, 3500, 7000, 14000.

Q: What is the sum of the divisors of 14000?

The sum is 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 16 + 20 + 25 + 28 + 35 + 40 + 50 + 56 + 70 + 80 + 100 + 112 + 125 + 140 + 175 + 200 + 250 + 280 + 350 + 400 + 500 + 560 + 700 + 875 + 1000 + 1400 + 1750 + 2000 + 2800 + 3500 + 7000 + 14000 = 38688.

Quick Answer

14000 has 40 divisors (factors): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 125, 140, 175, 200, 250, 280, 350, 400, 500, 560, 700, 875, 1000, 1400, 1750, 2000, 2800, 3500, 7000, 14000.

Sum: 38688.

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 14000

The number 14000 has 40 divisors:

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 125, 140, 175, 200, 250, 280, 350, 400, 500, 560, 700, 875, 1000, 1400, 1750, 2000, 2800, 3500, 7000, 14000

Divisor Pairs of 14000

Each pair multiplies to 14000:

Factor 1	×	Factor 2	=	Product
1	×	14000	=	14000
2	×	7000	=	14000
4	×	3500	=	14000
5	×	2800	=	14000
7	×	2000	=	14000
8	×	1750	=	14000
10	×	1400	=	14000
14	×	1000	=	14000
16	×	875	=	14000
20	×	700	=	14000
25	×	560	=	14000
28	×	500	=	14000
35	×	400	=	14000
40	×	350	=	14000
50	×	280	=	14000
56	×	250	=	14000
70	×	200	=	14000
80	×	175	=	14000
100	×	140	=	14000
112	×	125	=	14000

Number of Divisors

The number 14000 has 40 divisors, written as τ(14000) = 40 in number theory.

Sum of Divisors

σ(14000) = 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 16 + 20 + 25 + 28 + 35 + 40 + 50 + 56 + 70 + 80 + 100 + 112 + 125 + 140 + 175 + 200 + 250 + 280 + 350 + 400 + 500 + 560 + 700 + 875 + 1000 + 1400 + 1750 + 2000 + 2800 + 3500 + 7000 + 14000 = 38688

Prime Factorization of 14000

See the full prime factorization calculator →

Properties of 14000

14000 is composite.
14000 is not a perfect square.
Number of divisors: 40.
Sum of divisors: 38688.

Common Divisors with Another Number?

Looking for the divisors that 14000 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 14000

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √14000 ≈ 118.32. If i divides 14000, then both i and 14000/i are divisors.

1 divides 14000 (14000 ÷ 1 = 14000) → pair (1, 14000)
2 divides 14000 (14000 ÷ 2 = 7000) → pair (2, 7000)
4 divides 14000 (14000 ÷ 4 = 3500) → pair (4, 3500)
5 divides 14000 (14000 ÷ 5 = 2800) → pair (5, 2800)
7 divides 14000 (14000 ÷ 7 = 2000) → pair (7, 2000)
8 divides 14000 (14000 ÷ 8 = 1750) → pair (8, 1750)
10 divides 14000 (14000 ÷ 10 = 1400) → pair (10, 1400)
14 divides 14000 (14000 ÷ 14 = 1000) → pair (14, 1000)
16 divides 14000 (14000 ÷ 16 = 875) → pair (16, 875)
20 divides 14000 (14000 ÷ 20 = 700) → pair (20, 700)
25 divides 14000 (14000 ÷ 25 = 560) → pair (25, 560)
28 divides 14000 (14000 ÷ 28 = 500) → pair (28, 500)
35 divides 14000 (14000 ÷ 35 = 400) → pair (35, 400)
40 divides 14000 (14000 ÷ 40 = 350) → pair (40, 350)
50 divides 14000 (14000 ÷ 50 = 280) → pair (50, 280)
56 divides 14000 (14000 ÷ 56 = 250) → pair (56, 250)
70 divides 14000 (14000 ÷ 70 = 200) → pair (70, 200)
80 divides 14000 (14000 ÷ 80 = 175) → pair (80, 175)
100 divides 14000 (14000 ÷ 100 = 140) → pair (100, 140)
112 divides 14000 (14000 ÷ 112 = 125) → pair (112, 125)
Collect all unique values: {1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 125, 140, 175, 200, 250, 280, 350, 400, 500, 560, 700, 875, 1000, 1400, 1750, 2000, 2800, 3500, 7000, 14000} — total 40 divisors.
Sum: 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 16 + 20 + 25 + 28 + 35 + 40 + 50 + 56 + 70 + 80 + 100 + 112 + 125 + 140 + 175 + 200 + 250 + 280 + 350 + 400 + 500 + 560 + 700 + 875 + 1000 + 1400 + 1750 + 2000 + 2800 + 3500 + 7000 + 14000 = 38688.

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 14000

Multiples of a Number — "outward" complement of divisors
14000 Prime Factorization — decompose into prime building blocks
Find GCF of 14000 and another number
Find LCM of 14000 and another number
Is 14000 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