Divisors of 37950: All 48 Factors

Quick Answer

37950 has 48 divisors (factors): 1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 25, 30, 33, 46, 50, 55, 66, 69, 75, 110, 115, 138, 150, 165, 230, 253, 275, 330, 345, 506, 550, 575, 690, 759, 825, 1150, 1265, 1518, 1650, 1725, 2530, 3450, 3795, 6325, 7590, 12650, 18975, 37950.

Sum: 107136.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
48 divisors
1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 25, 30, 33, 46, 50, 55, 66, 69, 75, 110, 115, 138, 150, 165, 230, 253, 275, 330, 345, 506, 550, 575, 690, 759, 825, 1150, 1265, 1518, 1650, 1725, 2530, 3450, 3795, 6325, 7590, 12650, 18975, 37950

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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 37950

The number 37950 has 48 divisors:

1,  2,  3,  5,  6,  10,  11,  15,  22,  23,  25,  30,  33,  46,  50,  55,  66,  69,  75,  110,  115,  138,  150,  165,  230,  253,  275,  330,  345,  506,  550,  575,  690,  759,  825,  1150,  1265,  1518,  1650,  1725,  2530,  3450,  3795,  6325,  7590,  12650,  18975,  37950

Divisor Pairs of 37950

Each pair multiplies to 37950:

Factor 1×Factor 2=Product
1×37950=37950
2×18975=37950
3×12650=37950
5×7590=37950
6×6325=37950
10×3795=37950
11×3450=37950
15×2530=37950
22×1725=37950
23×1650=37950
25×1518=37950
30×1265=37950
33×1150=37950
46×825=37950
50×759=37950
55×690=37950
66×575=37950
69×550=37950
75×506=37950
110×345=37950
115×330=37950
138×275=37950
150×253=37950
165×230=37950

Number of Divisors

The number 37950 has 48 divisors, written as τ(37950) = 48 in number theory.

Sum of Divisors

σ(37950) = 1 + 2 + 3 + 5 + 6 + 10 + 11 + 15 + 22 + 23 + 25 + 30 + 33 + 46 + 50 + 55 + 66 + 69 + 75 + 110 + 115 + 138 + 150 + 165 + 230 + 253 + 275 + 330 + 345 + 506 + 550 + 575 + 690 + 759 + 825 + 1150 + 1265 + 1518 + 1650 + 1725 + 2530 + 3450 + 3795 + 6325 + 7590 + 12650 + 18975 + 37950 = 107136

Prime Factorization of 37950

See the full prime factorization calculator →

Properties of 37950

  • 37950 is composite.
  • 37950 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 107136.

Common Divisors with Another Number?

Looking for the divisors that 37950 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 37950

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √37950 ≈ 194.81. If i divides 37950, then both i and 37950/i are divisors.

  1. 1 divides 37950 (37950 ÷ 1 = 37950) → pair (1, 37950)
  2. 2 divides 37950 (37950 ÷ 2 = 18975) → pair (2, 18975)
  3. 3 divides 37950 (37950 ÷ 3 = 12650) → pair (3, 12650)
  4. 5 divides 37950 (37950 ÷ 5 = 7590) → pair (5, 7590)
  5. 6 divides 37950 (37950 ÷ 6 = 6325) → pair (6, 6325)
  6. 10 divides 37950 (37950 ÷ 10 = 3795) → pair (10, 3795)
  7. 11 divides 37950 (37950 ÷ 11 = 3450) → pair (11, 3450)
  8. 15 divides 37950 (37950 ÷ 15 = 2530) → pair (15, 2530)
  9. 22 divides 37950 (37950 ÷ 22 = 1725) → pair (22, 1725)
  10. 23 divides 37950 (37950 ÷ 23 = 1650) → pair (23, 1650)
  11. 25 divides 37950 (37950 ÷ 25 = 1518) → pair (25, 1518)
  12. 30 divides 37950 (37950 ÷ 30 = 1265) → pair (30, 1265)
  13. 33 divides 37950 (37950 ÷ 33 = 1150) → pair (33, 1150)
  14. 46 divides 37950 (37950 ÷ 46 = 825) → pair (46, 825)
  15. 50 divides 37950 (37950 ÷ 50 = 759) → pair (50, 759)
  16. 55 divides 37950 (37950 ÷ 55 = 690) → pair (55, 690)
  17. 66 divides 37950 (37950 ÷ 66 = 575) → pair (66, 575)
  18. 69 divides 37950 (37950 ÷ 69 = 550) → pair (69, 550)
  19. 75 divides 37950 (37950 ÷ 75 = 506) → pair (75, 506)
  20. 110 divides 37950 (37950 ÷ 110 = 345) → pair (110, 345)
  21. 115 divides 37950 (37950 ÷ 115 = 330) → pair (115, 330)
  22. 138 divides 37950 (37950 ÷ 138 = 275) → pair (138, 275)
  23. 150 divides 37950 (37950 ÷ 150 = 253) → pair (150, 253)
  24. 165 divides 37950 (37950 ÷ 165 = 230) → pair (165, 230)
  25. Collect all unique values: {1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 25, 30, 33, 46, 50, 55, 66, 69, 75, 110, 115, 138, 150, 165, 230, 253, 275, 330, 345, 506, 550, 575, 690, 759, 825, 1150, 1265, 1518, 1650, 1725, 2530, 3450, 3795, 6325, 7590, 12650, 18975, 37950} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 5 + 6 + 10 + 11 + 15 + 22 + 23 + 25 + 30 + 33 + 46 + 50 + 55 + 66 + 69 + 75 + 110 + 115 + 138 + 150 + 165 + 230 + 253 + 275 + 330 + 345 + 506 + 550 + 575 + 690 + 759 + 825 + 1150 + 1265 + 1518 + 1650 + 1725 + 2530 + 3450 + 3795 + 6325 + 7590 + 12650 + 18975 + 37950 = 107136.

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Related Operations for 37950

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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