Divisors of 34720: All 48 Factors

Quick Answer

34720 has 48 divisors (factors): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 31, 32, 35, 40, 56, 62, 70, 80, 112, 124, 140, 155, 160, 217, 224, 248, 280, 310, 434, 496, 560, 620, 868, 992, 1085, 1120, 1240, 1736, 2170, 2480, 3472, 4340, 4960, 6944, 8680, 17360, 34720.

Sum: 96768.

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, 16, 20, 28, 31, 32, 35, 40, 56, 62, 70, 80, 112, 124, 140, 155, 160, 217, 224, 248, 280, 310, 434, 496, 560, 620, 868, 992, 1085, 1120, 1240, 1736, 2170, 2480, 3472, 4340, 4960, 6944, 8680, 17360, 34720

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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 34720

The number 34720 has 48 divisors:

1,  2,  4,  5,  7,  8,  10,  14,  16,  20,  28,  31,  32,  35,  40,  56,  62,  70,  80,  112,  124,  140,  155,  160,  217,  224,  248,  280,  310,  434,  496,  560,  620,  868,  992,  1085,  1120,  1240,  1736,  2170,  2480,  3472,  4340,  4960,  6944,  8680,  17360,  34720

Divisor Pairs of 34720

Each pair multiplies to 34720:

Factor 1×Factor 2=Product
1×34720=34720
2×17360=34720
4×8680=34720
5×6944=34720
7×4960=34720
8×4340=34720
10×3472=34720
14×2480=34720
16×2170=34720
20×1736=34720
28×1240=34720
31×1120=34720
32×1085=34720
35×992=34720
40×868=34720
56×620=34720
62×560=34720
70×496=34720
80×434=34720
112×310=34720
124×280=34720
140×248=34720
155×224=34720
160×217=34720

Number of Divisors

The number 34720 has 48 divisors, written as τ(34720) = 48 in number theory.

Sum of Divisors

σ(34720) = 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 16 + 20 + 28 + 31 + 32 + 35 + 40 + 56 + 62 + 70 + 80 + 112 + 124 + 140 + 155 + 160 + 217 + 224 + 248 + 280 + 310 + 434 + 496 + 560 + 620 + 868 + 992 + 1085 + 1120 + 1240 + 1736 + 2170 + 2480 + 3472 + 4340 + 4960 + 6944 + 8680 + 17360 + 34720 = 96768

Prime Factorization of 34720

See the full prime factorization calculator →

Properties of 34720

  • 34720 is composite.
  • 34720 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 96768.

Common Divisors with Another Number?

Looking for the divisors that 34720 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 34720

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √34720 ≈ 186.33. If i divides 34720, then both i and 34720/i are divisors.

  1. 1 divides 34720 (34720 ÷ 1 = 34720) → pair (1, 34720)
  2. 2 divides 34720 (34720 ÷ 2 = 17360) → pair (2, 17360)
  3. 4 divides 34720 (34720 ÷ 4 = 8680) → pair (4, 8680)
  4. 5 divides 34720 (34720 ÷ 5 = 6944) → pair (5, 6944)
  5. 7 divides 34720 (34720 ÷ 7 = 4960) → pair (7, 4960)
  6. 8 divides 34720 (34720 ÷ 8 = 4340) → pair (8, 4340)
  7. 10 divides 34720 (34720 ÷ 10 = 3472) → pair (10, 3472)
  8. 14 divides 34720 (34720 ÷ 14 = 2480) → pair (14, 2480)
  9. 16 divides 34720 (34720 ÷ 16 = 2170) → pair (16, 2170)
  10. 20 divides 34720 (34720 ÷ 20 = 1736) → pair (20, 1736)
  11. 28 divides 34720 (34720 ÷ 28 = 1240) → pair (28, 1240)
  12. 31 divides 34720 (34720 ÷ 31 = 1120) → pair (31, 1120)
  13. 32 divides 34720 (34720 ÷ 32 = 1085) → pair (32, 1085)
  14. 35 divides 34720 (34720 ÷ 35 = 992) → pair (35, 992)
  15. 40 divides 34720 (34720 ÷ 40 = 868) → pair (40, 868)
  16. 56 divides 34720 (34720 ÷ 56 = 620) → pair (56, 620)
  17. 62 divides 34720 (34720 ÷ 62 = 560) → pair (62, 560)
  18. 70 divides 34720 (34720 ÷ 70 = 496) → pair (70, 496)
  19. 80 divides 34720 (34720 ÷ 80 = 434) → pair (80, 434)
  20. 112 divides 34720 (34720 ÷ 112 = 310) → pair (112, 310)
  21. 124 divides 34720 (34720 ÷ 124 = 280) → pair (124, 280)
  22. 140 divides 34720 (34720 ÷ 140 = 248) → pair (140, 248)
  23. 155 divides 34720 (34720 ÷ 155 = 224) → pair (155, 224)
  24. 160 divides 34720 (34720 ÷ 160 = 217) → pair (160, 217)
  25. Collect all unique values: {1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 31, 32, 35, 40, 56, 62, 70, 80, 112, 124, 140, 155, 160, 217, 224, 248, 280, 310, 434, 496, 560, 620, 868, 992, 1085, 1120, 1240, 1736, 2170, 2480, 3472, 4340, 4960, 6944, 8680, 17360, 34720} — total 48 divisors.
  26. Sum: 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 16 + 20 + 28 + 31 + 32 + 35 + 40 + 56 + 62 + 70 + 80 + 112 + 124 + 140 + 155 + 160 + 217 + 224 + 248 + 280 + 310 + 434 + 496 + 560 + 620 + 868 + 992 + 1085 + 1120 + 1240 + 1736 + 2170 + 2480 + 3472 + 4340 + 4960 + 6944 + 8680 + 17360 + 34720 = 96768.

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Related Operations for 34720

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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