Discussion on: Daily Challenge #7 - Factorial Decomposition

package utils

import "fmt"

var primeNumbers = []int{2,3,5,7,11,13,17,19,23}

func DecomposeFactorial(number int) string {
    var totalPrimeFactos []int
    for number > 1 {
        primeFactors := findPrimaryNumbers(number)
        totalPrimeFactos = append(totalPrimeFactos, primeFactors...)
        number--
    }

    decomposedFactorial := ""
    for i, pn := range primeNumbers {
        count := elemCount(totalPrimeFactos, pn)

        if i  != 0 && count > 0 {
            decomposedFactorial += " * "
        }

        if count > 1 {
            decomposedFactorial += fmt.Sprintf("%d^%d", pn, count)
        } else if count > 0 {
            decomposedFactorial += fmt.Sprintf("%d", pn)
        }
    }

    return decomposedFactorial
}

func findPrimaryNumbers(number int) []int {
    var primeFactors []int

    i := 0

    for number > 1 {
        if number % primeNumbers[i] == 0 {
            primeFactors = append(primeFactors, primeNumbers[i])
            number = number / primeNumbers[i]
        } else {
            i++
        }
    }

    return primeFactors
}

func elemCount(array []int, item int) int {
    count := 0
    for _, l := range array {
        if l == item {
            count++
        }
    }
    return count
}