Divisors of 49000: All 48 Factors

Quick Answer

49000 has 48 divisors (factors): 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 125, 140, 175, 196, 200, 245, 250, 280, 350, 392, 490, 500, 700, 875, 980, 1000, 1225, 1400, 1750, 1960, 2450, 3500, 4900, 6125, 7000, 9800, 12250, 24500, 49000.

Sum: 133380.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
48 divisors
1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 125, 140, 175, 196, 200, 245, 250, 280, 350, 392, 490, 500, 700, 875, 980, 1000, 1225, 1400, 1750, 1960, 2450, 3500, 4900, 6125, 7000, 9800, 12250, 24500, 49000

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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 49000

The number 49000 has 48 divisors:

1,  2,  4,  5,  7,  8,  10,  14,  20,  25,  28,  35,  40,  49,  50,  56,  70,  98,  100,  125,  140,  175,  196,  200,  245,  250,  280,  350,  392,  490,  500,  700,  875,  980,  1000,  1225,  1400,  1750,  1960,  2450,  3500,  4900,  6125,  7000,  9800,  12250,  24500,  49000

Divisor Pairs of 49000

Each pair multiplies to 49000:

Factor 1×Factor 2=Product
1×49000=49000
2×24500=49000
4×12250=49000
5×9800=49000
7×7000=49000
8×6125=49000
10×4900=49000
14×3500=49000
20×2450=49000
25×1960=49000
28×1750=49000
35×1400=49000
40×1225=49000
49×1000=49000
50×980=49000
56×875=49000
70×700=49000
98×500=49000
100×490=49000
125×392=49000
140×350=49000
175×280=49000
196×250=49000
200×245=49000

Number of Divisors

The number 49000 has 48 divisors, written as τ(49000) = 48 in number theory.

Sum of Divisors

σ(49000) = 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 20 + 25 + 28 + 35 + 40 + 49 + 50 + 56 + 70 + 98 + 100 + 125 + 140 + 175 + 196 + 200 + 245 + 250 + 280 + 350 + 392 + 490 + 500 + 700 + 875 + 980 + 1000 + 1225 + 1400 + 1750 + 1960 + 2450 + 3500 + 4900 + 6125 + 7000 + 9800 + 12250 + 24500 + 49000 = 133380

Prime Factorization of 49000

See the full prime factorization calculator →

Properties of 49000

  • 49000 is composite.
  • 49000 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 133380.

Common Divisors with Another Number?

Looking for the divisors that 49000 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 49000

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √49000 ≈ 221.36. If i divides 49000, then both i and 49000/i are divisors.

  1. 1 divides 49000 (49000 ÷ 1 = 49000) → pair (1, 49000)
  2. 2 divides 49000 (49000 ÷ 2 = 24500) → pair (2, 24500)
  3. 4 divides 49000 (49000 ÷ 4 = 12250) → pair (4, 12250)
  4. 5 divides 49000 (49000 ÷ 5 = 9800) → pair (5, 9800)
  5. 7 divides 49000 (49000 ÷ 7 = 7000) → pair (7, 7000)
  6. 8 divides 49000 (49000 ÷ 8 = 6125) → pair (8, 6125)
  7. 10 divides 49000 (49000 ÷ 10 = 4900) → pair (10, 4900)
  8. 14 divides 49000 (49000 ÷ 14 = 3500) → pair (14, 3500)
  9. 20 divides 49000 (49000 ÷ 20 = 2450) → pair (20, 2450)
  10. 25 divides 49000 (49000 ÷ 25 = 1960) → pair (25, 1960)
  11. 28 divides 49000 (49000 ÷ 28 = 1750) → pair (28, 1750)
  12. 35 divides 49000 (49000 ÷ 35 = 1400) → pair (35, 1400)
  13. 40 divides 49000 (49000 ÷ 40 = 1225) → pair (40, 1225)
  14. 49 divides 49000 (49000 ÷ 49 = 1000) → pair (49, 1000)
  15. 50 divides 49000 (49000 ÷ 50 = 980) → pair (50, 980)
  16. 56 divides 49000 (49000 ÷ 56 = 875) → pair (56, 875)
  17. 70 divides 49000 (49000 ÷ 70 = 700) → pair (70, 700)
  18. 98 divides 49000 (49000 ÷ 98 = 500) → pair (98, 500)
  19. 100 divides 49000 (49000 ÷ 100 = 490) → pair (100, 490)
  20. 125 divides 49000 (49000 ÷ 125 = 392) → pair (125, 392)
  21. 140 divides 49000 (49000 ÷ 140 = 350) → pair (140, 350)
  22. 175 divides 49000 (49000 ÷ 175 = 280) → pair (175, 280)
  23. 196 divides 49000 (49000 ÷ 196 = 250) → pair (196, 250)
  24. 200 divides 49000 (49000 ÷ 200 = 245) → pair (200, 245)
  25. Collect all unique values: {1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 125, 140, 175, 196, 200, 245, 250, 280, 350, 392, 490, 500, 700, 875, 980, 1000, 1225, 1400, 1750, 1960, 2450, 3500, 4900, 6125, 7000, 9800, 12250, 24500, 49000} — total 48 divisors.
  26. Sum: 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 20 + 25 + 28 + 35 + 40 + 49 + 50 + 56 + 70 + 98 + 100 + 125 + 140 + 175 + 196 + 200 + 245 + 250 + 280 + 350 + 392 + 490 + 500 + 700 + 875 + 980 + 1000 + 1225 + 1400 + 1750 + 1960 + 2450 + 3500 + 4900 + 6125 + 7000 + 9800 + 12250 + 24500 + 49000 = 133380.

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Related Operations for 49000

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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