Divisors of 40200: All 48 Factors

Quick Answer

40200 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 67, 75, 100, 120, 134, 150, 200, 201, 268, 300, 335, 402, 536, 600, 670, 804, 1005, 1340, 1608, 1675, 2010, 2680, 3350, 4020, 5025, 6700, 8040, 10050, 13400, 20100, 40200.

Sum: 126480.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
48 divisors
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 67, 75, 100, 120, 134, 150, 200, 201, 268, 300, 335, 402, 536, 600, 670, 804, 1005, 1340, 1608, 1675, 2010, 2680, 3350, 4020, 5025, 6700, 8040, 10050, 13400, 20100, 40200

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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 40200

The number 40200 has 48 divisors:

1,  2,  3,  4,  5,  6,  8,  10,  12,  15,  20,  24,  25,  30,  40,  50,  60,  67,  75,  100,  120,  134,  150,  200,  201,  268,  300,  335,  402,  536,  600,  670,  804,  1005,  1340,  1608,  1675,  2010,  2680,  3350,  4020,  5025,  6700,  8040,  10050,  13400,  20100,  40200

Divisor Pairs of 40200

Each pair multiplies to 40200:

Factor 1×Factor 2=Product
1×40200=40200
2×20100=40200
3×13400=40200
4×10050=40200
5×8040=40200
6×6700=40200
8×5025=40200
10×4020=40200
12×3350=40200
15×2680=40200
20×2010=40200
24×1675=40200
25×1608=40200
30×1340=40200
40×1005=40200
50×804=40200
60×670=40200
67×600=40200
75×536=40200
100×402=40200
120×335=40200
134×300=40200
150×268=40200
200×201=40200

Number of Divisors

The number 40200 has 48 divisors, written as τ(40200) = 48 in number theory.

Sum of Divisors

σ(40200) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 20 + 24 + 25 + 30 + 40 + 50 + 60 + 67 + 75 + 100 + 120 + 134 + 150 + 200 + 201 + 268 + 300 + 335 + 402 + 536 + 600 + 670 + 804 + 1005 + 1340 + 1608 + 1675 + 2010 + 2680 + 3350 + 4020 + 5025 + 6700 + 8040 + 10050 + 13400 + 20100 + 40200 = 126480

Prime Factorization of 40200

See the full prime factorization calculator →

Properties of 40200

  • 40200 is composite.
  • 40200 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 126480.

Common Divisors with Another Number?

Looking for the divisors that 40200 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 40200

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √40200 ≈ 200.50. If i divides 40200, then both i and 40200/i are divisors.

  1. 1 divides 40200 (40200 ÷ 1 = 40200) → pair (1, 40200)
  2. 2 divides 40200 (40200 ÷ 2 = 20100) → pair (2, 20100)
  3. 3 divides 40200 (40200 ÷ 3 = 13400) → pair (3, 13400)
  4. 4 divides 40200 (40200 ÷ 4 = 10050) → pair (4, 10050)
  5. 5 divides 40200 (40200 ÷ 5 = 8040) → pair (5, 8040)
  6. 6 divides 40200 (40200 ÷ 6 = 6700) → pair (6, 6700)
  7. 8 divides 40200 (40200 ÷ 8 = 5025) → pair (8, 5025)
  8. 10 divides 40200 (40200 ÷ 10 = 4020) → pair (10, 4020)
  9. 12 divides 40200 (40200 ÷ 12 = 3350) → pair (12, 3350)
  10. 15 divides 40200 (40200 ÷ 15 = 2680) → pair (15, 2680)
  11. 20 divides 40200 (40200 ÷ 20 = 2010) → pair (20, 2010)
  12. 24 divides 40200 (40200 ÷ 24 = 1675) → pair (24, 1675)
  13. 25 divides 40200 (40200 ÷ 25 = 1608) → pair (25, 1608)
  14. 30 divides 40200 (40200 ÷ 30 = 1340) → pair (30, 1340)
  15. 40 divides 40200 (40200 ÷ 40 = 1005) → pair (40, 1005)
  16. 50 divides 40200 (40200 ÷ 50 = 804) → pair (50, 804)
  17. 60 divides 40200 (40200 ÷ 60 = 670) → pair (60, 670)
  18. 67 divides 40200 (40200 ÷ 67 = 600) → pair (67, 600)
  19. 75 divides 40200 (40200 ÷ 75 = 536) → pair (75, 536)
  20. 100 divides 40200 (40200 ÷ 100 = 402) → pair (100, 402)
  21. 120 divides 40200 (40200 ÷ 120 = 335) → pair (120, 335)
  22. 134 divides 40200 (40200 ÷ 134 = 300) → pair (134, 300)
  23. 150 divides 40200 (40200 ÷ 150 = 268) → pair (150, 268)
  24. 200 divides 40200 (40200 ÷ 200 = 201) → pair (200, 201)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 67, 75, 100, 120, 134, 150, 200, 201, 268, 300, 335, 402, 536, 600, 670, 804, 1005, 1340, 1608, 1675, 2010, 2680, 3350, 4020, 5025, 6700, 8040, 10050, 13400, 20100, 40200} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 20 + 24 + 25 + 30 + 40 + 50 + 60 + 67 + 75 + 100 + 120 + 134 + 150 + 200 + 201 + 268 + 300 + 335 + 402 + 536 + 600 + 670 + 804 + 1005 + 1340 + 1608 + 1675 + 2010 + 2680 + 3350 + 4020 + 5025 + 6700 + 8040 + 10050 + 13400 + 20100 + 40200 = 126480.

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Related Operations for 40200

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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