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package factors
// Factors returns a number's factors as a slice.
// The slice is not guaranteed to be in sorted order.
func Factors(n uint) []uint {
if n == 0 {
panic("Cannot get factors of 0!")
}
primeFactorization := PrimeFactorize(n)
factors := []uint{1}
for prime, exponent := range primeFactorization.exponents {
factors = expandFactors(factors, prime, exponent)
}
return factors
}
// expandFactors takes a slice and returns a new slice where every factor
// f in the original slice is replaced with f, f*p, f*p^2, ..., f*p^e.
func expandFactors(factors []uint, prime, exponent uint) []uint {
nextFactors := make([]uint, 0, len(factors)*int(exponent))
for _, factor := range factors {
for i := uint(0); i <= exponent; i++ {
nextFactors = append(nextFactors, factor*uintpow(prime, i))
}
}
return nextFactors
}
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