Is 12100 a prime number?

No. 12100 is composite — it has more than 2 divisors (it has 27).

Is 12100 a perfect square?

Yes. 12100 has 27 divisors (an ODD number), which always means a perfect square. √12100 = 110.

Divisors of 12100: All 27 Factors

Q: What are the divisors of 12100?

The divisors (factors) of 12100 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 121, 220, 242, 275, 484, 550, 605, 1100, 1210, 2420, 3025, 6050, 12100.

Q: What is the sum of the divisors of 12100?

The sum is 1 + 2 + 4 + 5 + 10 + 11 + 20 + 22 + 25 + 44 + 50 + 55 + 100 + 110 + 121 + 220 + 242 + 275 + 484 + 550 + 605 + 1100 + 1210 + 2420 + 3025 + 6050 + 12100 = 28861.

Quick Answer

12100 has 27 divisors (factors): 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 121, 220, 242, 275, 484, 550, 605, 1100, 1210, 2420, 3025, 6050, 12100.

Sum: 28861. 12100 is a perfect square (√12100 = 110).

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 12100

The number 12100 has 27 divisors:

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 121, 220, 242, 275, 484, 550, 605, 1100, 1210, 2420, 3025, 6050, 12100

Divisor Pairs of 12100

Each pair multiplies to 12100:

Factor 1	×	Factor 2	=	Product
1	×	12100	=	12100
2	×	6050	=	12100
4	×	3025	=	12100
5	×	2420	=	12100
10	×	1210	=	12100
11	×	1100	=	12100
20	×	605	=	12100
22	×	550	=	12100
25	×	484	=	12100
44	×	275	=	12100
50	×	242	=	12100
55	×	220	=	12100
100	×	121	=	12100
110	×	110	=	12100

Note: the last pair has identical factors (110 × 110) because 12100 is a perfect square.

Number of Divisors

The number 12100 has 27 divisors, written as τ(12100) = 27 in number theory.

⚡ Notice: 12100 has an odd number of divisors — this means 12100 is a perfect square (√12100 = 110).

Sum of Divisors

σ(12100) = 1 + 2 + 4 + 5 + 10 + 11 + 20 + 22 + 25 + 44 + 50 + 55 + 100 + 110 + 121 + 220 + 242 + 275 + 484 + 550 + 605 + 1100 + 1210 + 2420 + 3025 + 6050 + 12100 = 28861

Prime Factorization of 12100

See the full prime factorization calculator →

Properties of 12100

12100 is composite.
12100 is a perfect square (√12100 = 110).
Number of divisors: 27.
Sum of divisors: 28861.

Common Divisors with Another Number?

Looking for the divisors that 12100 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 12100

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √12100 ≈ 110.00. If i divides 12100, then both i and 12100/i are divisors.

1 divides 12100 (12100 ÷ 1 = 12100) → pair (1, 12100)
2 divides 12100 (12100 ÷ 2 = 6050) → pair (2, 6050)
4 divides 12100 (12100 ÷ 4 = 3025) → pair (4, 3025)
5 divides 12100 (12100 ÷ 5 = 2420) → pair (5, 2420)
10 divides 12100 (12100 ÷ 10 = 1210) → pair (10, 1210)
11 divides 12100 (12100 ÷ 11 = 1100) → pair (11, 1100)
20 divides 12100 (12100 ÷ 20 = 605) → pair (20, 605)
22 divides 12100 (12100 ÷ 22 = 550) → pair (22, 550)
25 divides 12100 (12100 ÷ 25 = 484) → pair (25, 484)
44 divides 12100 (12100 ÷ 44 = 275) → pair (44, 275)
50 divides 12100 (12100 ÷ 50 = 242) → pair (50, 242)
55 divides 12100 (12100 ÷ 55 = 220) → pair (55, 220)
100 divides 12100 (12100 ÷ 100 = 121) → pair (100, 121)
110 divides 12100 (12100 ÷ 110 = 110) → pair (110, 110)
Collect all unique values: {1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 121, 220, 242, 275, 484, 550, 605, 1100, 1210, 2420, 3025, 6050, 12100} — total 27 divisors.
Sum: 1 + 2 + 4 + 5 + 10 + 11 + 20 + 22 + 25 + 44 + 50 + 55 + 100 + 110 + 121 + 220 + 242 + 275 + 484 + 550 + 605 + 1100 + 1210 + 2420 + 3025 + 6050 + 12100 = 28861.

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 12100

Multiples of a Number — "outward" complement of divisors
12100 Prime Factorization — decompose into prime building blocks
Find GCF of 12100 and another number
Find LCM of 12100 and another number
Is 12100 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