Divisors of 7020: All 48 Factors

Quick Answer

7020 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 180, 195, 234, 260, 270, 351, 390, 468, 540, 585, 702, 780, 1170, 1404, 1755, 2340, 3510, 7020.

Sum: 23520.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
48 divisors
1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 180, 195, 234, 260, 270, 351, 390, 468, 540, 585, 702, 780, 1170, 1404, 1755, 2340, 3510, 7020

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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 7020

The number 7020 has 48 divisors:

1,  2,  3,  4,  5,  6,  9,  10,  12,  13,  15,  18,  20,  26,  27,  30,  36,  39,  45,  52,  54,  60,  65,  78,  90,  108,  117,  130,  135,  156,  180,  195,  234,  260,  270,  351,  390,  468,  540,  585,  702,  780,  1170,  1404,  1755,  2340,  3510,  7020

Divisor Pairs of 7020

Each pair multiplies to 7020:

Factor 1×Factor 2=Product
1×7020=7020
2×3510=7020
3×2340=7020
4×1755=7020
5×1404=7020
6×1170=7020
9×780=7020
10×702=7020
12×585=7020
13×540=7020
15×468=7020
18×390=7020
20×351=7020
26×270=7020
27×260=7020
30×234=7020
36×195=7020
39×180=7020
45×156=7020
52×135=7020
54×130=7020
60×117=7020
65×108=7020
78×90=7020

Number of Divisors

The number 7020 has 48 divisors, written as τ(7020) = 48 in number theory.

Sum of Divisors

σ(7020) = 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 13 + 15 + 18 + 20 + 26 + 27 + 30 + 36 + 39 + 45 + 52 + 54 + 60 + 65 + 78 + 90 + 108 + 117 + 130 + 135 + 156 + 180 + 195 + 234 + 260 + 270 + 351 + 390 + 468 + 540 + 585 + 702 + 780 + 1170 + 1404 + 1755 + 2340 + 3510 + 7020 = 23520

Prime Factorization of 7020

See the full prime factorization calculator →

Properties of 7020

  • 7020 is composite.
  • 7020 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 23520.

Common Divisors with Another Number?

Looking for the divisors that 7020 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 7020

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √7020 ≈ 83.79. If i divides 7020, then both i and 7020/i are divisors.

  1. 1 divides 7020 (7020 ÷ 1 = 7020) → pair (1, 7020)
  2. 2 divides 7020 (7020 ÷ 2 = 3510) → pair (2, 3510)
  3. 3 divides 7020 (7020 ÷ 3 = 2340) → pair (3, 2340)
  4. 4 divides 7020 (7020 ÷ 4 = 1755) → pair (4, 1755)
  5. 5 divides 7020 (7020 ÷ 5 = 1404) → pair (5, 1404)
  6. 6 divides 7020 (7020 ÷ 6 = 1170) → pair (6, 1170)
  7. 9 divides 7020 (7020 ÷ 9 = 780) → pair (9, 780)
  8. 10 divides 7020 (7020 ÷ 10 = 702) → pair (10, 702)
  9. 12 divides 7020 (7020 ÷ 12 = 585) → pair (12, 585)
  10. 13 divides 7020 (7020 ÷ 13 = 540) → pair (13, 540)
  11. 15 divides 7020 (7020 ÷ 15 = 468) → pair (15, 468)
  12. 18 divides 7020 (7020 ÷ 18 = 390) → pair (18, 390)
  13. 20 divides 7020 (7020 ÷ 20 = 351) → pair (20, 351)
  14. 26 divides 7020 (7020 ÷ 26 = 270) → pair (26, 270)
  15. 27 divides 7020 (7020 ÷ 27 = 260) → pair (27, 260)
  16. 30 divides 7020 (7020 ÷ 30 = 234) → pair (30, 234)
  17. 36 divides 7020 (7020 ÷ 36 = 195) → pair (36, 195)
  18. 39 divides 7020 (7020 ÷ 39 = 180) → pair (39, 180)
  19. 45 divides 7020 (7020 ÷ 45 = 156) → pair (45, 156)
  20. 52 divides 7020 (7020 ÷ 52 = 135) → pair (52, 135)
  21. 54 divides 7020 (7020 ÷ 54 = 130) → pair (54, 130)
  22. 60 divides 7020 (7020 ÷ 60 = 117) → pair (60, 117)
  23. 65 divides 7020 (7020 ÷ 65 = 108) → pair (65, 108)
  24. 78 divides 7020 (7020 ÷ 78 = 90) → pair (78, 90)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 180, 195, 234, 260, 270, 351, 390, 468, 540, 585, 702, 780, 1170, 1404, 1755, 2340, 3510, 7020} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 13 + 15 + 18 + 20 + 26 + 27 + 30 + 36 + 39 + 45 + 52 + 54 + 60 + 65 + 78 + 90 + 108 + 117 + 130 + 135 + 156 + 180 + 195 + 234 + 260 + 270 + 351 + 390 + 468 + 540 + 585 + 702 + 780 + 1170 + 1404 + 1755 + 2340 + 3510 + 7020 = 23520.

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Related Operations for 7020

See also our tables of divisors:

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

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