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. CRAAGLE 4.0 – TARGUS Free Download.Q:
How to split an integer into factors of a given prime?
I’m wondering if there’s a way to parse a number into factors of a given prime. I’m not looking for general number-golf or fast algorithms, but I’m interested in a concise solution that’s efficient for small primes.
What I want to be able to do is find the prime factorization of a large number. For example, take the number 615. It can be quickly split into 2*3*5 = 30 prime factors. The question is, of course, how to get at each of them efficiently.
If I try looping through 2-6 to find the factorizations manually, I will quickly exceed the shortness of human lifespan, and have to rely on brute force factoring algorithms which are also impractical for large numbers (for larger primes I am using primality test software which may be useful, but I don’t know if there is anything similar for factors).
Is there a more concise way to enumerate the factors of a large number?
A:
If you are only interested in a prime number, the following returns the prime factors in an array:
function primeFactorization($n) {
return array_merge(
$n == 1? [‘1’] : array_keys($_ = array_filter(range(2, $n), function($i) use ($n) {
return $n % $i == 0;
}))
,
$_ = array_filter($_ = array_reduce(range(sqrt($n), $n), function($acc, $i) {
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