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Published at Jan 26 2019
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Instructions

Test suite

Solution

Compute the prime factors of a given natural number.

A prime number is only evenly divisible by itself and 1.

Note that 1 is not a prime number.

What are the prime factors of 60?

- Our first divisor is 2. 2 goes into 60, leaving 30.
- 2 goes into 30, leaving 15.
- 2 doesn't go cleanly into 15. So let's move on to our next divisor, 3.

- 3 goes cleanly into 15, leaving 5.
- 3 does not go cleanly into 5. The next possible factor is 4.
- 4 does not go cleanly into 5. The next possible factor is 5.

- 5 does go cleanly into 5.
- We're left only with 1, so now, we're done.

Our successful divisors in that computation represent the list of prime factors of 60: 2, 2, 3, and 5.

You can check this yourself:

- 2 * 2 * 3 * 5
- = 4 * 15
- = 60
- Success!

In order to run the tests for this track, you will need to install DUnitX. Please see the installation instructions for more information.

If Delphi is properly installed, and `*.dpr`

file types have been associated with Delphi, then double clicking the supplied `*.dpr`

file will start Delphi and load the exercise/project. `control + F9`

is the keyboard shortcut to compile the project or pressing `F9`

will compile and run the project.

Alternatively you may opt to start Delphi and load your project via. the `File`

drop down menu.

We monitor the Pascal-Delphi support room on gitter.im to help you with any questions that might arise.

Note that, when trying to submit an exercise, make sure the exercise file you're submitting is in the `exercism/delphi/<exerciseName>`

directory.

For example, if you're submitting `ubob.pas`

for the Bob exercise, the submit command would be something like `exercism submit <path_to_exercism_dir>/delphi/bob/ubob.pas`

.

The Prime Factors Kata by Uncle Bob http://butunclebob.com/ArticleS.UncleBob.ThePrimeFactorsKata

It's possible to submit an incomplete solution so you may receive assistance from a mentor.

```
unit uPrimeFactorsTest;
interface
uses
DUnitX.TestFramework;
const
CanonicalVersion = '1.1.0';
type
[TestFixture]
TPrimeFactorsTest = class(TObject)
private
procedure CompareArrays(Array1, Array2: TArray<Int64>);
public
[Test]
// [Ignore('Comment the "[Ignore]" statement to run the test')]
procedure no_factors;
[Test]
[Ignore]
procedure prime_number;
[Test]
[Ignore]
procedure square_of_a_prime;
[Test]
[Ignore]
procedure cube_of_a_prime;
[Test]
[Ignore]
procedure product_of_primes_and_non_primes;
[Test]
[Ignore]
procedure product_of_primes;
[Test]
[Ignore]
procedure factors_include_a_large_prime;
end;
implementation
uses
System.SysUtils, uPrimeFactors;
procedure TPrimeFactorsTest.CompareArrays(Array1, Array2: TArray<Int64>);
var
i: integer;
begin
Assert.AreEqual(Length(Array1), Length(Array2), ' - Array lengths must be equal');
for i := Low(Array1) to High(Array1) do
Assert.AreEqual(Array1[i], Array2[i], format('Expecting element %d to = %d, Actual = %d',
[i, Array1[i], Array2[i]]));
end;
procedure TPrimeFactorsTest.cube_of_a_prime;
begin
CompareArrays([2, 2, 2], TPrimeFactors.factors(8));
end;
procedure TPrimeFactorsTest.factors_include_a_large_prime;
begin
CompareArrays([11, 9539, 894119], TPrimeFactors.factors(93819012551));
end;
procedure TPrimeFactorsTest.no_factors;
begin
CompareArrays([], TPrimeFactors.factors(1));
end;
procedure TPrimeFactorsTest.prime_number;
begin
CompareArrays([2], TPrimeFactors.factors(2));
end;
procedure TPrimeFactorsTest.product_of_primes;
begin
CompareArrays([5, 17, 23, 461], TPrimeFactors.factors(901255));
end;
procedure TPrimeFactorsTest.product_of_primes_and_non_primes;
begin
CompareArrays([2, 2, 3], TPrimeFactors.factors(12));
end;
procedure TPrimeFactorsTest.square_of_a_prime;
begin
CompareArrays([3, 3], TPrimeFactors.factors(9));
end;
initialization
TDUnitX.RegisterTestFixture(TPrimeFactorsTest);
end.
```

```
unit uPrimeFactors;
interface
type
TPrimeFactors = class
class function factors(Number: Int64): TArray<Int64>;
end;
implementation
class function TPrimeFactors.factors(Number: Int64): TArray<Int64>;
begin
SetLength(Result, 0);
if Number = 1 then Exit;
while Number mod 2 = 0 do begin
Number := Number div 2;
Result := Result + [2];
end;
var Divisor := 3;
while Number <> 1 do begin
while Number mod Divisor = 0 do begin
Number := Number div Divisor;
Result := Result + [Divisor];
end;
Divisor := Divisor + 2;
end;
end;
end.
```

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