Is 9800 a prime number?

No. 9800 is composite — it has more than 2 divisors (it has 36).

Divisors of 9800: All 36 Factors

Q: What are the divisors of 9800?

The divisors (factors) of 9800 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800.

Q: What is the sum of the divisors of 9800?

The sum is 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 20 + 25 + 28 + 35 + 40 + 49 + 50 + 56 + 70 + 98 + 100 + 140 + 175 + 196 + 200 + 245 + 280 + 350 + 392 + 490 + 700 + 980 + 1225 + 1400 + 1960 + 2450 + 4900 + 9800 = 26505.

Quick Answer

9800 has 36 divisors (factors): 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800.

Sum: 26505.

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 9800

The number 9800 has 36 divisors:

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800

Divisor Pairs of 9800

Each pair multiplies to 9800:

Factor 1	×	Factor 2	=	Product
1	×	9800	=	9800
2	×	4900	=	9800
4	×	2450	=	9800
5	×	1960	=	9800
7	×	1400	=	9800
8	×	1225	=	9800
10	×	980	=	9800
14	×	700	=	9800
20	×	490	=	9800
25	×	392	=	9800
28	×	350	=	9800
35	×	280	=	9800
40	×	245	=	9800
49	×	200	=	9800
50	×	196	=	9800
56	×	175	=	9800
70	×	140	=	9800
98	×	100	=	9800

Number of Divisors

The number 9800 has 36 divisors, written as τ(9800) = 36 in number theory.

Sum of Divisors

σ(9800) = 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 20 + 25 + 28 + 35 + 40 + 49 + 50 + 56 + 70 + 98 + 100 + 140 + 175 + 196 + 200 + 245 + 280 + 350 + 392 + 490 + 700 + 980 + 1225 + 1400 + 1960 + 2450 + 4900 + 9800 = 26505

Prime Factorization of 9800

See the full prime factorization calculator →

Properties of 9800

9800 is composite.
9800 is not a perfect square.
Number of divisors: 36.
Sum of divisors: 26505.

Common Divisors with Another Number?

Looking for the divisors that 9800 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 9800

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √9800 ≈ 98.99. If i divides 9800, then both i and 9800/i are divisors.

1 divides 9800 (9800 ÷ 1 = 9800) → pair (1, 9800)
2 divides 9800 (9800 ÷ 2 = 4900) → pair (2, 4900)
4 divides 9800 (9800 ÷ 4 = 2450) → pair (4, 2450)
5 divides 9800 (9800 ÷ 5 = 1960) → pair (5, 1960)
7 divides 9800 (9800 ÷ 7 = 1400) → pair (7, 1400)
8 divides 9800 (9800 ÷ 8 = 1225) → pair (8, 1225)
10 divides 9800 (9800 ÷ 10 = 980) → pair (10, 980)
14 divides 9800 (9800 ÷ 14 = 700) → pair (14, 700)
20 divides 9800 (9800 ÷ 20 = 490) → pair (20, 490)
25 divides 9800 (9800 ÷ 25 = 392) → pair (25, 392)
28 divides 9800 (9800 ÷ 28 = 350) → pair (28, 350)
35 divides 9800 (9800 ÷ 35 = 280) → pair (35, 280)
40 divides 9800 (9800 ÷ 40 = 245) → pair (40, 245)
49 divides 9800 (9800 ÷ 49 = 200) → pair (49, 200)
50 divides 9800 (9800 ÷ 50 = 196) → pair (50, 196)
56 divides 9800 (9800 ÷ 56 = 175) → pair (56, 175)
70 divides 9800 (9800 ÷ 70 = 140) → pair (70, 140)
98 divides 9800 (9800 ÷ 98 = 100) → pair (98, 100)
Collect all unique values: {1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800} — total 36 divisors.
Sum: 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 20 + 25 + 28 + 35 + 40 + 49 + 50 + 56 + 70 + 98 + 100 + 140 + 175 + 196 + 200 + 245 + 280 + 350 + 392 + 490 + 700 + 980 + 1225 + 1400 + 1960 + 2450 + 4900 + 9800 = 26505.

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 9800

Multiples of 9800 — "outward" complement; M is a multiple of 9800 ⇔ 9800 is a divisor of M
9800 Prime Factorization — decompose into prime building blocks
Find GCF of 9800 and another number
Find LCM of 9800 and another number
Is 9800 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

Find all divisors of these numbers:

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