Is 49840 a prime number?

No. 49840 is composite — it has more than 2 divisors (it has 40).

Divisors of 49840: All 40 Factors

Q: What are the divisors of 49840?

The divisors (factors) of 49840 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 89, 112, 140, 178, 280, 356, 445, 560, 623, 712, 890, 1246, 1424, 1780, 2492, 3115, 3560, 4984, 6230, 7120, 9968, 12460, 24920, 49840.

Q: What is the sum of the divisors of 49840?

The sum is 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 16 + 20 + 28 + 35 + 40 + 56 + 70 + 80 + 89 + 112 + 140 + 178 + 280 + 356 + 445 + 560 + 623 + 712 + 890 + 1246 + 1424 + 1780 + 2492 + 3115 + 3560 + 4984 + 6230 + 7120 + 9968 + 12460 + 24920 + 49840 = 133920.

Quick Answer

49840 has 40 divisors (factors): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 89, 112, 140, 178, 280, 356, 445, 560, 623, 712, 890, 1246, 1424, 1780, 2492, 3115, 3560, 4984, 6230, 7120, 9968, 12460, 24920, 49840.

Sum: 133920.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

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 49840

The number 49840 has 40 divisors:

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 89, 112, 140, 178, 280, 356, 445, 560, 623, 712, 890, 1246, 1424, 1780, 2492, 3115, 3560, 4984, 6230, 7120, 9968, 12460, 24920, 49840

Divisor Pairs of 49840

Each pair multiplies to 49840:

Factor 1	×	Factor 2	=	Product
1	×	49840	=	49840
2	×	24920	=	49840
4	×	12460	=	49840
5	×	9968	=	49840
7	×	7120	=	49840
8	×	6230	=	49840
10	×	4984	=	49840
14	×	3560	=	49840
16	×	3115	=	49840
20	×	2492	=	49840
28	×	1780	=	49840
35	×	1424	=	49840
40	×	1246	=	49840
56	×	890	=	49840
70	×	712	=	49840
80	×	623	=	49840
89	×	560	=	49840
112	×	445	=	49840
140	×	356	=	49840
178	×	280	=	49840

Number of Divisors

The number 49840 has 40 divisors, written as τ(49840) = 40 in number theory.

Sum of Divisors

σ(49840) = 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 16 + 20 + 28 + 35 + 40 + 56 + 70 + 80 + 89 + 112 + 140 + 178 + 280 + 356 + 445 + 560 + 623 + 712 + 890 + 1246 + 1424 + 1780 + 2492 + 3115 + 3560 + 4984 + 6230 + 7120 + 9968 + 12460 + 24920 + 49840 = 133920

Prime Factorization of 49840

See the full prime factorization calculator →

Properties of 49840

49840 is composite.
49840 is not a perfect square.
Number of divisors: 40.
Sum of divisors: 133920.

Common Divisors with Another Number?

Looking for the divisors that 49840 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 49840

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √49840 ≈ 223.25. If i divides 49840, then both i and 49840/i are divisors.

1 divides 49840 (49840 ÷ 1 = 49840) → pair (1, 49840)
2 divides 49840 (49840 ÷ 2 = 24920) → pair (2, 24920)
4 divides 49840 (49840 ÷ 4 = 12460) → pair (4, 12460)
5 divides 49840 (49840 ÷ 5 = 9968) → pair (5, 9968)
7 divides 49840 (49840 ÷ 7 = 7120) → pair (7, 7120)
8 divides 49840 (49840 ÷ 8 = 6230) → pair (8, 6230)
10 divides 49840 (49840 ÷ 10 = 4984) → pair (10, 4984)
14 divides 49840 (49840 ÷ 14 = 3560) → pair (14, 3560)
16 divides 49840 (49840 ÷ 16 = 3115) → pair (16, 3115)
20 divides 49840 (49840 ÷ 20 = 2492) → pair (20, 2492)
28 divides 49840 (49840 ÷ 28 = 1780) → pair (28, 1780)
35 divides 49840 (49840 ÷ 35 = 1424) → pair (35, 1424)
40 divides 49840 (49840 ÷ 40 = 1246) → pair (40, 1246)
56 divides 49840 (49840 ÷ 56 = 890) → pair (56, 890)
70 divides 49840 (49840 ÷ 70 = 712) → pair (70, 712)
80 divides 49840 (49840 ÷ 80 = 623) → pair (80, 623)
89 divides 49840 (49840 ÷ 89 = 560) → pair (89, 560)
112 divides 49840 (49840 ÷ 112 = 445) → pair (112, 445)
140 divides 49840 (49840 ÷ 140 = 356) → pair (140, 356)
178 divides 49840 (49840 ÷ 178 = 280) → pair (178, 280)
Collect all unique values: {1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 89, 112, 140, 178, 280, 356, 445, 560, 623, 712, 890, 1246, 1424, 1780, 2492, 3115, 3560, 4984, 6230, 7120, 9968, 12460, 24920, 49840} — total 40 divisors.
Sum: 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 16 + 20 + 28 + 35 + 40 + 56 + 70 + 80 + 89 + 112 + 140 + 178 + 280 + 356 + 445 + 560 + 623 + 712 + 890 + 1246 + 1424 + 1780 + 2492 + 3115 + 3560 + 4984 + 6230 + 7120 + 9968 + 12460 + 24920 + 49840 = 133920.

Nearby Examples

n	divisors count	sum σ(n)
360	24	1170
240	20	744
180	18	546
144	15	403
120	16	360
100	9	217
90	12	234
84	12	224

Related Operations for 49840

Multiples of a Number — "outward" complement of divisors
49840 Prime Factorization — decompose into prime building blocks
Find GCF of 49840 and another number
Find LCM of 49840 and another number
Is 49840 a perfect square? (odd divisor count ⇔ yes)

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

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Related Calculators

Multiples of a Number — "outward" complement
Prime Factorization — product of prime divisors
Greatest Common Factor (GCF) — largest common divisor of 2+ numbers
Least Common Multiple (LCM) — smallest common multiple
Is N a Perfect Square? — odd divisor count check