Divisors Of A Number Calculator

Work out divisors of a number instantly with clear inputs, formula shown and shareable results.

About Divisors Of A Number Calculator

Divisors come in pairs multiplying to n, so testing only up to √n finds them all. The count follows directly from the prime exponents as Π(eₖ + 1).

Formula

Divisor pairing

if d divides n then so does n/d, so search only to √n

Worked example

With the default values below, Divisors Of A Number Calculator returns How many divisors of 24. Change any input above and every figure here is recalculated in your browser.

Inputs used

Numberminimum 1: 360
Countone of All divisors, Proper divisors only: All divisors

Results

How many divisors: 24
The divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Sum of those divisors: 1,170
Largest proper divisor: 180

Step by step

1Values used
2Divisor pairing
3How many divisors= 24
4The divisors= 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
5Sum of those divisors= 1,170
6Largest proper divisor= 180

Assumptions and limits

The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to whole numbers, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

How many divisors does 360 have?

24, since 360 = 2³ × 3² × 5 gives 4 × 3 × 2.

What is a proper divisor?

Any divisor other than the number itself. For 360 that means the 23 divisors from 1 to 180.