Is 35000 a prime number?

No. 35000 is composite — it has more than 2 divisors (it has 40).

Divisors of 35000: All 40 Factors

Q: What are the divisors of 35000?

The divisors (factors) of 35000 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 125, 140, 175, 200, 250, 280, 350, 500, 625, 700, 875, 1000, 1250, 1400, 1750, 2500, 3500, 4375, 5000, 7000, 8750, 17500, 35000.

Q: What is the sum of the divisors of 35000?

The sum is 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 20 + 25 + 28 + 35 + 40 + 50 + 56 + 70 + 100 + 125 + 140 + 175 + 200 + 250 + 280 + 350 + 500 + 625 + 700 + 875 + 1000 + 1250 + 1400 + 1750 + 2500 + 3500 + 4375 + 5000 + 7000 + 8750 + 17500 + 35000 = 93720.

Quick Answer

35000 has 40 divisors (factors): 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 125, 140, 175, 200, 250, 280, 350, 500, 625, 700, 875, 1000, 1250, 1400, 1750, 2500, 3500, 4375, 5000, 7000, 8750, 17500, 35000.

Sum: 93720.

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 35000

The number 35000 has 40 divisors:

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 125, 140, 175, 200, 250, 280, 350, 500, 625, 700, 875, 1000, 1250, 1400, 1750, 2500, 3500, 4375, 5000, 7000, 8750, 17500, 35000

Divisor Pairs of 35000

Each pair multiplies to 35000:

Factor 1	×	Factor 2	=	Product
1	×	35000	=	35000
2	×	17500	=	35000
4	×	8750	=	35000
5	×	7000	=	35000
7	×	5000	=	35000
8	×	4375	=	35000
10	×	3500	=	35000
14	×	2500	=	35000
20	×	1750	=	35000
25	×	1400	=	35000
28	×	1250	=	35000
35	×	1000	=	35000
40	×	875	=	35000
50	×	700	=	35000
56	×	625	=	35000
70	×	500	=	35000
100	×	350	=	35000
125	×	280	=	35000
140	×	250	=	35000
175	×	200	=	35000

Number of Divisors

The number 35000 has 40 divisors, written as τ(35000) = 40 in number theory.

Sum of Divisors

σ(35000) = 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 20 + 25 + 28 + 35 + 40 + 50 + 56 + 70 + 100 + 125 + 140 + 175 + 200 + 250 + 280 + 350 + 500 + 625 + 700 + 875 + 1000 + 1250 + 1400 + 1750 + 2500 + 3500 + 4375 + 5000 + 7000 + 8750 + 17500 + 35000 = 93720

Prime Factorization of 35000

See the full prime factorization calculator →

Properties of 35000

35000 is composite.
35000 is not a perfect square.
Number of divisors: 40.
Sum of divisors: 93720.

Common Divisors with Another Number?

Looking for the divisors that 35000 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 35000

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √35000 ≈ 187.08. If i divides 35000, then both i and 35000/i are divisors.

1 divides 35000 (35000 ÷ 1 = 35000) → pair (1, 35000)
2 divides 35000 (35000 ÷ 2 = 17500) → pair (2, 17500)
4 divides 35000 (35000 ÷ 4 = 8750) → pair (4, 8750)
5 divides 35000 (35000 ÷ 5 = 7000) → pair (5, 7000)
7 divides 35000 (35000 ÷ 7 = 5000) → pair (7, 5000)
8 divides 35000 (35000 ÷ 8 = 4375) → pair (8, 4375)
10 divides 35000 (35000 ÷ 10 = 3500) → pair (10, 3500)
14 divides 35000 (35000 ÷ 14 = 2500) → pair (14, 2500)
20 divides 35000 (35000 ÷ 20 = 1750) → pair (20, 1750)
25 divides 35000 (35000 ÷ 25 = 1400) → pair (25, 1400)
28 divides 35000 (35000 ÷ 28 = 1250) → pair (28, 1250)
35 divides 35000 (35000 ÷ 35 = 1000) → pair (35, 1000)
40 divides 35000 (35000 ÷ 40 = 875) → pair (40, 875)
50 divides 35000 (35000 ÷ 50 = 700) → pair (50, 700)
56 divides 35000 (35000 ÷ 56 = 625) → pair (56, 625)
70 divides 35000 (35000 ÷ 70 = 500) → pair (70, 500)
100 divides 35000 (35000 ÷ 100 = 350) → pair (100, 350)
125 divides 35000 (35000 ÷ 125 = 280) → pair (125, 280)
140 divides 35000 (35000 ÷ 140 = 250) → pair (140, 250)
175 divides 35000 (35000 ÷ 175 = 200) → pair (175, 200)
Collect all unique values: {1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 125, 140, 175, 200, 250, 280, 350, 500, 625, 700, 875, 1000, 1250, 1400, 1750, 2500, 3500, 4375, 5000, 7000, 8750, 17500, 35000} — total 40 divisors.
Sum: 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 20 + 25 + 28 + 35 + 40 + 50 + 56 + 70 + 100 + 125 + 140 + 175 + 200 + 250 + 280 + 350 + 500 + 625 + 700 + 875 + 1000 + 1250 + 1400 + 1750 + 2500 + 3500 + 4375 + 5000 + 7000 + 8750 + 17500 + 35000 = 93720.

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 35000

Multiples of a Number — "outward" complement of divisors
35000 Prime Factorization — decompose into prime building blocks
Find GCF of 35000 and another number
Find LCM of 35000 and another number
Is 35000 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