Divisors of 49950: All 48 Factors

Quick Answer

49950 has 48 divisors (factors): 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 37, 45, 50, 54, 74, 75, 90, 111, 135, 150, 185, 222, 225, 270, 333, 370, 450, 555, 666, 675, 925, 999, 1110, 1350, 1665, 1850, 1998, 2775, 3330, 4995, 5550, 8325, 9990, 16650, 24975, 49950.

Sum: 141360.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
48 divisors
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 37, 45, 50, 54, 74, 75, 90, 111, 135, 150, 185, 222, 225, 270, 333, 370, 450, 555, 666, 675, 925, 999, 1110, 1350, 1665, 1850, 1998, 2775, 3330, 4995, 5550, 8325, 9990, 16650, 24975, 49950

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 49950

The number 49950 has 48 divisors:

1,  2,  3,  5,  6,  9,  10,  15,  18,  25,  27,  30,  37,  45,  50,  54,  74,  75,  90,  111,  135,  150,  185,  222,  225,  270,  333,  370,  450,  555,  666,  675,  925,  999,  1110,  1350,  1665,  1850,  1998,  2775,  3330,  4995,  5550,  8325,  9990,  16650,  24975,  49950

Divisor Pairs of 49950

Each pair multiplies to 49950:

Factor 1×Factor 2=Product
1×49950=49950
2×24975=49950
3×16650=49950
5×9990=49950
6×8325=49950
9×5550=49950
10×4995=49950
15×3330=49950
18×2775=49950
25×1998=49950
27×1850=49950
30×1665=49950
37×1350=49950
45×1110=49950
50×999=49950
54×925=49950
74×675=49950
75×666=49950
90×555=49950
111×450=49950
135×370=49950
150×333=49950
185×270=49950
222×225=49950

Number of Divisors

The number 49950 has 48 divisors, written as τ(49950) = 48 in number theory.

Sum of Divisors

σ(49950) = 1 + 2 + 3 + 5 + 6 + 9 + 10 + 15 + 18 + 25 + 27 + 30 + 37 + 45 + 50 + 54 + 74 + 75 + 90 + 111 + 135 + 150 + 185 + 222 + 225 + 270 + 333 + 370 + 450 + 555 + 666 + 675 + 925 + 999 + 1110 + 1350 + 1665 + 1850 + 1998 + 2775 + 3330 + 4995 + 5550 + 8325 + 9990 + 16650 + 24975 + 49950 = 141360

Prime Factorization of 49950

See the full prime factorization calculator →

Properties of 49950

  • 49950 is composite.
  • 49950 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 141360.

Common Divisors with Another Number?

Looking for the divisors that 49950 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 49950

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √49950 ≈ 223.49. If i divides 49950, then both i and 49950/i are divisors.

  1. 1 divides 49950 (49950 ÷ 1 = 49950) → pair (1, 49950)
  2. 2 divides 49950 (49950 ÷ 2 = 24975) → pair (2, 24975)
  3. 3 divides 49950 (49950 ÷ 3 = 16650) → pair (3, 16650)
  4. 5 divides 49950 (49950 ÷ 5 = 9990) → pair (5, 9990)
  5. 6 divides 49950 (49950 ÷ 6 = 8325) → pair (6, 8325)
  6. 9 divides 49950 (49950 ÷ 9 = 5550) → pair (9, 5550)
  7. 10 divides 49950 (49950 ÷ 10 = 4995) → pair (10, 4995)
  8. 15 divides 49950 (49950 ÷ 15 = 3330) → pair (15, 3330)
  9. 18 divides 49950 (49950 ÷ 18 = 2775) → pair (18, 2775)
  10. 25 divides 49950 (49950 ÷ 25 = 1998) → pair (25, 1998)
  11. 27 divides 49950 (49950 ÷ 27 = 1850) → pair (27, 1850)
  12. 30 divides 49950 (49950 ÷ 30 = 1665) → pair (30, 1665)
  13. 37 divides 49950 (49950 ÷ 37 = 1350) → pair (37, 1350)
  14. 45 divides 49950 (49950 ÷ 45 = 1110) → pair (45, 1110)
  15. 50 divides 49950 (49950 ÷ 50 = 999) → pair (50, 999)
  16. 54 divides 49950 (49950 ÷ 54 = 925) → pair (54, 925)
  17. 74 divides 49950 (49950 ÷ 74 = 675) → pair (74, 675)
  18. 75 divides 49950 (49950 ÷ 75 = 666) → pair (75, 666)
  19. 90 divides 49950 (49950 ÷ 90 = 555) → pair (90, 555)
  20. 111 divides 49950 (49950 ÷ 111 = 450) → pair (111, 450)
  21. 135 divides 49950 (49950 ÷ 135 = 370) → pair (135, 370)
  22. 150 divides 49950 (49950 ÷ 150 = 333) → pair (150, 333)
  23. 185 divides 49950 (49950 ÷ 185 = 270) → pair (185, 270)
  24. 222 divides 49950 (49950 ÷ 222 = 225) → pair (222, 225)
  25. Collect all unique values: {1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 37, 45, 50, 54, 74, 75, 90, 111, 135, 150, 185, 222, 225, 270, 333, 370, 450, 555, 666, 675, 925, 999, 1110, 1350, 1665, 1850, 1998, 2775, 3330, 4995, 5550, 8325, 9990, 16650, 24975, 49950} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 5 + 6 + 9 + 10 + 15 + 18 + 25 + 27 + 30 + 37 + 45 + 50 + 54 + 74 + 75 + 90 + 111 + 135 + 150 + 185 + 222 + 225 + 270 + 333 + 370 + 450 + 555 + 666 + 675 + 925 + 999 + 1110 + 1350 + 1665 + 1850 + 1998 + 2775 + 3330 + 4995 + 5550 + 8325 + 9990 + 16650 + 24975 + 49950 = 141360.

Nearby Examples

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

Related Operations for 49950

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:

1,2074 div1,2698 div1,4532 div1,75216 div1,86212 div1,9664 div26012 div74812 div1,1858 div1,30216 div3584 div1,9708 div

Related Calculators