Divisors of 2772: All 36 Factors

Divisors (Factors) Calculator

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 2772

The number 2772 has 36 divisors:

1,  2,  3,  4,  6,  7,  9,  11,  12,  14,  18,  21,  22,  28,  33,  36,  42,  44,  63,  66,  77,  84,  99,  126,  132,  154,  198,  231,  252,  308,  396,  462,  693,  924,  1386,  2772

Divisor Pairs of 2772

Each pair multiplies to 2772:

Number of Divisors

The number 2772 has 36 divisors, written as τ(2772) = 36 in number theory.

Sum of Divisors

σ(2772) = 1 + 2 + 3 + 4 + 6 + 7 + 9 + 11 + 12 + 14 + 18 + 21 + 22 + 28 + 33 + 36 + 42 + 44 + 63 + 66 + 77 + 84 + 99 + 126 + 132 + 154 + 198 + 231 + 252 + 308 + 396 + 462 + 693 + 924 + 1386 + 2772 = 8736

Prime Factorization of 2772

See the full prime factorization calculator →

Properties of 2772

• 2772 is composite.
• 2772 is not a perfect square.
• Number of divisors: 36.
• Sum of divisors: 8736.

Common Divisors with Another Number?

Looking for the divisors that 2772 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 2772

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √2772 ≈ 52.65. If i divides 2772, then both i and 2772/i are divisors.

1. 1 divides 2772 (2772 ÷ 1 = 2772) → pair (1, 2772)
2. 2 divides 2772 (2772 ÷ 2 = 1386) → pair (2, 1386)
3. 3 divides 2772 (2772 ÷ 3 = 924) → pair (3, 924)
4. 4 divides 2772 (2772 ÷ 4 = 693) → pair (4, 693)
5. 6 divides 2772 (2772 ÷ 6 = 462) → pair (6, 462)
6. 7 divides 2772 (2772 ÷ 7 = 396) → pair (7, 396)
7. 9 divides 2772 (2772 ÷ 9 = 308) → pair (9, 308)
8. 11 divides 2772 (2772 ÷ 11 = 252) → pair (11, 252)
9. 12 divides 2772 (2772 ÷ 12 = 231) → pair (12, 231)
10. 14 divides 2772 (2772 ÷ 14 = 198) → pair (14, 198)
11. 18 divides 2772 (2772 ÷ 18 = 154) → pair (18, 154)
12. 21 divides 2772 (2772 ÷ 21 = 132) → pair (21, 132)
13. 22 divides 2772 (2772 ÷ 22 = 126) → pair (22, 126)
14. 28 divides 2772 (2772 ÷ 28 = 99) → pair (28, 99)
15. 33 divides 2772 (2772 ÷ 33 = 84) → pair (33, 84)
16. 36 divides 2772 (2772 ÷ 36 = 77) → pair (36, 77)
17. 42 divides 2772 (2772 ÷ 42 = 66) → pair (42, 66)
18. 44 divides 2772 (2772 ÷ 44 = 63) → pair (44, 63)
19. Collect all unique values: {1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386, 2772} — total 36 divisors.
20. Sum: 1 + 2 + 3 + 4 + 6 + 7 + 9 + 11 + 12 + 14 + 18 + 21 + 22 + 28 + 33 + 36 + 42 + 44 + 63 + 66 + 77 + 84 + 99 + 126 + 132 + 154 + 198 + 231 + 252 + 308 + 396 + 462 + 693 + 924 + 1386 + 2772 = 8736.

Nearby Examples

Related Operations for 2772

• Multiples of 2772 — "outward" complement; M is a multiple of 2772 ⇔ 2772 is a divisor of M
• 2772 Prime Factorization — decompose into prime building blocks
• Find GCF of 2772 and another number
• Find LCM of 2772 and another number
• Is 2772 a perfect square? (odd divisor count ⇔ yes)

See also our tables of divisors:

• Table of all divisors from 1 to 100
• Table of all divisors from 1 to 500
• Table of all divisors from 1 to 1,000
• Table of all divisors from 1 to 10,000

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

• [1] Divisor (Wikipedia)
• [2] Divisor function (Wikipedia)
• [3] Divisor (Wolfram MathWorld)

Divisors Calculation Examples

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