Divisors of 39420: All 48 Factors

Quick Answer

39420 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 73, 90, 108, 135, 146, 180, 219, 270, 292, 365, 438, 540, 657, 730, 876, 1095, 1314, 1460, 1971, 2190, 2628, 3285, 3942, 4380, 6570, 7884, 9855, 13140, 19710, 39420.

Sum: 124320.

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, 15, 18, 20, 27, 30, 36, 45, 54, 60, 73, 90, 108, 135, 146, 180, 219, 270, 292, 365, 438, 540, 657, 730, 876, 1095, 1314, 1460, 1971, 2190, 2628, 3285, 3942, 4380, 6570, 7884, 9855, 13140, 19710, 39420

Found an error? Contact us.

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 39420

The number 39420 has 48 divisors:

1,  2,  3,  4,  5,  6,  9,  10,  12,  15,  18,  20,  27,  30,  36,  45,  54,  60,  73,  90,  108,  135,  146,  180,  219,  270,  292,  365,  438,  540,  657,  730,  876,  1095,  1314,  1460,  1971,  2190,  2628,  3285,  3942,  4380,  6570,  7884,  9855,  13140,  19710,  39420

Divisor Pairs of 39420

Each pair multiplies to 39420:

Factor 1×Factor 2=Product
1×39420=39420
2×19710=39420
3×13140=39420
4×9855=39420
5×7884=39420
6×6570=39420
9×4380=39420
10×3942=39420
12×3285=39420
15×2628=39420
18×2190=39420
20×1971=39420
27×1460=39420
30×1314=39420
36×1095=39420
45×876=39420
54×730=39420
60×657=39420
73×540=39420
90×438=39420
108×365=39420
135×292=39420
146×270=39420
180×219=39420

Number of Divisors

The number 39420 has 48 divisors, written as τ(39420) = 48 in number theory.

Sum of Divisors

σ(39420) = 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 27 + 30 + 36 + 45 + 54 + 60 + 73 + 90 + 108 + 135 + 146 + 180 + 219 + 270 + 292 + 365 + 438 + 540 + 657 + 730 + 876 + 1095 + 1314 + 1460 + 1971 + 2190 + 2628 + 3285 + 3942 + 4380 + 6570 + 7884 + 9855 + 13140 + 19710 + 39420 = 124320

Prime Factorization of 39420

See the full prime factorization calculator →

Properties of 39420

  • 39420 is composite.
  • 39420 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 124320.

Common Divisors with Another Number?

Looking for the divisors that 39420 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 39420

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √39420 ≈ 198.54. If i divides 39420, then both i and 39420/i are divisors.

  1. 1 divides 39420 (39420 ÷ 1 = 39420) → pair (1, 39420)
  2. 2 divides 39420 (39420 ÷ 2 = 19710) → pair (2, 19710)
  3. 3 divides 39420 (39420 ÷ 3 = 13140) → pair (3, 13140)
  4. 4 divides 39420 (39420 ÷ 4 = 9855) → pair (4, 9855)
  5. 5 divides 39420 (39420 ÷ 5 = 7884) → pair (5, 7884)
  6. 6 divides 39420 (39420 ÷ 6 = 6570) → pair (6, 6570)
  7. 9 divides 39420 (39420 ÷ 9 = 4380) → pair (9, 4380)
  8. 10 divides 39420 (39420 ÷ 10 = 3942) → pair (10, 3942)
  9. 12 divides 39420 (39420 ÷ 12 = 3285) → pair (12, 3285)
  10. 15 divides 39420 (39420 ÷ 15 = 2628) → pair (15, 2628)
  11. 18 divides 39420 (39420 ÷ 18 = 2190) → pair (18, 2190)
  12. 20 divides 39420 (39420 ÷ 20 = 1971) → pair (20, 1971)
  13. 27 divides 39420 (39420 ÷ 27 = 1460) → pair (27, 1460)
  14. 30 divides 39420 (39420 ÷ 30 = 1314) → pair (30, 1314)
  15. 36 divides 39420 (39420 ÷ 36 = 1095) → pair (36, 1095)
  16. 45 divides 39420 (39420 ÷ 45 = 876) → pair (45, 876)
  17. 54 divides 39420 (39420 ÷ 54 = 730) → pair (54, 730)
  18. 60 divides 39420 (39420 ÷ 60 = 657) → pair (60, 657)
  19. 73 divides 39420 (39420 ÷ 73 = 540) → pair (73, 540)
  20. 90 divides 39420 (39420 ÷ 90 = 438) → pair (90, 438)
  21. 108 divides 39420 (39420 ÷ 108 = 365) → pair (108, 365)
  22. 135 divides 39420 (39420 ÷ 135 = 292) → pair (135, 292)
  23. 146 divides 39420 (39420 ÷ 146 = 270) → pair (146, 270)
  24. 180 divides 39420 (39420 ÷ 180 = 219) → pair (180, 219)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 73, 90, 108, 135, 146, 180, 219, 270, 292, 365, 438, 540, 657, 730, 876, 1095, 1314, 1460, 1971, 2190, 2628, 3285, 3942, 4380, 6570, 7884, 9855, 13140, 19710, 39420} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 27 + 30 + 36 + 45 + 54 + 60 + 73 + 90 + 108 + 135 + 146 + 180 + 219 + 270 + 292 + 365 + 438 + 540 + 657 + 730 + 876 + 1095 + 1314 + 1460 + 1971 + 2190 + 2628 + 3285 + 3942 + 4380 + 6570 + 7884 + 9855 + 13140 + 19710 + 39420 = 124320.

Nearby Examples

ndivisors countsum σ(n)
360241170
24020744
18018546
14415403
12016360
1009217
9012234
8412224

Related Operations for 39420

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

Divisors Calculation Examples

Find all divisors of these numbers:

2,0236 div1009 div1,0308 div1,2074 div1,2698 div1,4532 div1,75216 div1,86212 div1,9664 div26012 div74812 div1,1858 div

Related Calculators