Is 27200 a prime number?

No. 27200 is composite — it has more than 2 divisors (it has 42).

Divisors of 27200: All 42 Factors

Q: What are the divisors of 27200?

The divisors (factors) of 27200 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 32, 34, 40, 50, 64, 68, 80, 85, 100, 136, 160, 170, 200, 272, 320, 340, 400, 425, 544, 680, 800, 850, 1088, 1360, 1600, 1700, 2720, 3400, 5440, 6800, 13600, 27200.

Q: What is the sum of the divisors of 27200?

The sum is 1 + 2 + 4 + 5 + 8 + 10 + 16 + 17 + 20 + 25 + 32 + 34 + 40 + 50 + 64 + 68 + 80 + 85 + 100 + 136 + 160 + 170 + 200 + 272 + 320 + 340 + 400 + 425 + 544 + 680 + 800 + 850 + 1088 + 1360 + 1600 + 1700 + 2720 + 3400 + 5440 + 6800 + 13600 + 27200 = 70866.

Quick Answer

27200 has 42 divisors (factors): 1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 32, 34, 40, 50, 64, 68, 80, 85, 100, 136, 160, 170, 200, 272, 320, 340, 400, 425, 544, 680, 800, 850, 1088, 1360, 1600, 1700, 2720, 3400, 5440, 6800, 13600, 27200.

Sum: 70866.

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 27200

The number 27200 has 42 divisors:

1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 32, 34, 40, 50, 64, 68, 80, 85, 100, 136, 160, 170, 200, 272, 320, 340, 400, 425, 544, 680, 800, 850, 1088, 1360, 1600, 1700, 2720, 3400, 5440, 6800, 13600, 27200

Divisor Pairs of 27200

Each pair multiplies to 27200:

Factor 1	×	Factor 2	=	Product
1	×	27200	=	27200
2	×	13600	=	27200
4	×	6800	=	27200
5	×	5440	=	27200
8	×	3400	=	27200
10	×	2720	=	27200
16	×	1700	=	27200
17	×	1600	=	27200
20	×	1360	=	27200
25	×	1088	=	27200
32	×	850	=	27200
34	×	800	=	27200
40	×	680	=	27200
50	×	544	=	27200
64	×	425	=	27200
68	×	400	=	27200
80	×	340	=	27200
85	×	320	=	27200
100	×	272	=	27200
136	×	200	=	27200
160	×	170	=	27200

Number of Divisors

The number 27200 has 42 divisors, written as τ(27200) = 42 in number theory.

Sum of Divisors

σ(27200) = 1 + 2 + 4 + 5 + 8 + 10 + 16 + 17 + 20 + 25 + 32 + 34 + 40 + 50 + 64 + 68 + 80 + 85 + 100 + 136 + 160 + 170 + 200 + 272 + 320 + 340 + 400 + 425 + 544 + 680 + 800 + 850 + 1088 + 1360 + 1600 + 1700 + 2720 + 3400 + 5440 + 6800 + 13600 + 27200 = 70866

Prime Factorization of 27200

See the full prime factorization calculator →

Properties of 27200

27200 is composite.
27200 is not a perfect square.
Number of divisors: 42.
Sum of divisors: 70866.

Common Divisors with Another Number?

Looking for the divisors that 27200 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 27200

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √27200 ≈ 164.92. If i divides 27200, then both i and 27200/i are divisors.

1 divides 27200 (27200 ÷ 1 = 27200) → pair (1, 27200)
2 divides 27200 (27200 ÷ 2 = 13600) → pair (2, 13600)
4 divides 27200 (27200 ÷ 4 = 6800) → pair (4, 6800)
5 divides 27200 (27200 ÷ 5 = 5440) → pair (5, 5440)
8 divides 27200 (27200 ÷ 8 = 3400) → pair (8, 3400)
10 divides 27200 (27200 ÷ 10 = 2720) → pair (10, 2720)
16 divides 27200 (27200 ÷ 16 = 1700) → pair (16, 1700)
17 divides 27200 (27200 ÷ 17 = 1600) → pair (17, 1600)
20 divides 27200 (27200 ÷ 20 = 1360) → pair (20, 1360)
25 divides 27200 (27200 ÷ 25 = 1088) → pair (25, 1088)
32 divides 27200 (27200 ÷ 32 = 850) → pair (32, 850)
34 divides 27200 (27200 ÷ 34 = 800) → pair (34, 800)
40 divides 27200 (27200 ÷ 40 = 680) → pair (40, 680)
50 divides 27200 (27200 ÷ 50 = 544) → pair (50, 544)
64 divides 27200 (27200 ÷ 64 = 425) → pair (64, 425)
68 divides 27200 (27200 ÷ 68 = 400) → pair (68, 400)
80 divides 27200 (27200 ÷ 80 = 340) → pair (80, 340)
85 divides 27200 (27200 ÷ 85 = 320) → pair (85, 320)
100 divides 27200 (27200 ÷ 100 = 272) → pair (100, 272)
136 divides 27200 (27200 ÷ 136 = 200) → pair (136, 200)
160 divides 27200 (27200 ÷ 160 = 170) → pair (160, 170)
Collect all unique values: {1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 32, 34, 40, 50, 64, 68, 80, 85, 100, 136, 160, 170, 200, 272, 320, 340, 400, 425, 544, 680, 800, 850, 1088, 1360, 1600, 1700, 2720, 3400, 5440, 6800, 13600, 27200} — total 42 divisors.
Sum: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 17 + 20 + 25 + 32 + 34 + 40 + 50 + 64 + 68 + 80 + 85 + 100 + 136 + 160 + 170 + 200 + 272 + 320 + 340 + 400 + 425 + 544 + 680 + 800 + 850 + 1088 + 1360 + 1600 + 1700 + 2720 + 3400 + 5440 + 6800 + 13600 + 27200 = 70866.

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 27200

Multiples of a Number — "outward" complement of divisors
27200 Prime Factorization — decompose into prime building blocks
Find GCF of 27200 and another number
Find LCM of 27200 and another number
Is 27200 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