Is 2700 a prime number?

No. 2700 is composite — it has more than 2 divisors (it has 36).

Divisors of 2700: All 36 Factors

Q: What are the divisors of 2700?

The divisors (factors) of 2700 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700.

Q: What is the sum of the divisors of 2700?

The sum is 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 25 + 27 + 30 + 36 + 45 + 50 + 54 + 60 + 75 + 90 + 100 + 108 + 135 + 150 + 180 + 225 + 270 + 300 + 450 + 540 + 675 + 900 + 1350 + 2700 = 8680.

Quick Answer

2700 has 36 divisors (factors): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700.

Sum: 8680.

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 2700

The number 2700 has 36 divisors:

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700

Divisor Pairs of 2700

Each pair multiplies to 2700:

Factor 1	×	Factor 2	=	Product
1	×	2700	=	2700
2	×	1350	=	2700
3	×	900	=	2700
4	×	675	=	2700
5	×	540	=	2700
6	×	450	=	2700
9	×	300	=	2700
10	×	270	=	2700
12	×	225	=	2700
15	×	180	=	2700
18	×	150	=	2700
20	×	135	=	2700
25	×	108	=	2700
27	×	100	=	2700
30	×	90	=	2700
36	×	75	=	2700
45	×	60	=	2700
50	×	54	=	2700

Number of Divisors

The number 2700 has 36 divisors, written as τ(2700) = 36 in number theory.

Sum of Divisors

σ(2700) = 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 25 + 27 + 30 + 36 + 45 + 50 + 54 + 60 + 75 + 90 + 100 + 108 + 135 + 150 + 180 + 225 + 270 + 300 + 450 + 540 + 675 + 900 + 1350 + 2700 = 8680

Prime Factorization of 2700

See the full prime factorization calculator →

Properties of 2700

2700 is composite.
2700 is not a perfect square.
Number of divisors: 36.
Sum of divisors: 8680.

Common Divisors with Another Number?

Looking for the divisors that 2700 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 2700

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √2700 ≈ 51.96. If i divides 2700, then both i and 2700/i are divisors.

1 divides 2700 (2700 ÷ 1 = 2700) → pair (1, 2700)
2 divides 2700 (2700 ÷ 2 = 1350) → pair (2, 1350)
3 divides 2700 (2700 ÷ 3 = 900) → pair (3, 900)
4 divides 2700 (2700 ÷ 4 = 675) → pair (4, 675)
5 divides 2700 (2700 ÷ 5 = 540) → pair (5, 540)
6 divides 2700 (2700 ÷ 6 = 450) → pair (6, 450)
9 divides 2700 (2700 ÷ 9 = 300) → pair (9, 300)
10 divides 2700 (2700 ÷ 10 = 270) → pair (10, 270)
12 divides 2700 (2700 ÷ 12 = 225) → pair (12, 225)
15 divides 2700 (2700 ÷ 15 = 180) → pair (15, 180)
18 divides 2700 (2700 ÷ 18 = 150) → pair (18, 150)
20 divides 2700 (2700 ÷ 20 = 135) → pair (20, 135)
25 divides 2700 (2700 ÷ 25 = 108) → pair (25, 108)
27 divides 2700 (2700 ÷ 27 = 100) → pair (27, 100)
30 divides 2700 (2700 ÷ 30 = 90) → pair (30, 90)
36 divides 2700 (2700 ÷ 36 = 75) → pair (36, 75)
45 divides 2700 (2700 ÷ 45 = 60) → pair (45, 60)
50 divides 2700 (2700 ÷ 50 = 54) → pair (50, 54)
Collect all unique values: {1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700} — total 36 divisors.
Sum: 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 25 + 27 + 30 + 36 + 45 + 50 + 54 + 60 + 75 + 90 + 100 + 108 + 135 + 150 + 180 + 225 + 270 + 300 + 450 + 540 + 675 + 900 + 1350 + 2700 = 8680.

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 2700

Multiples of 2700 — "outward" complement; M is a multiple of 2700 ⇔ 2700 is a divisor of M
2700 Prime Factorization — decompose into prime building blocks
Find GCF of 2700 and another number
Find LCM of 2700 and another number
Is 2700 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