1 files changed, 9 insertions, 9 deletions
diff --git a/factors/prime_factorization.go b/factors/prime_factorization.go
index f91a2cf..d9f11e5 100644
--- a/factors/prime_factorization.go
+++ b/factors/prime_factorization.go
@@ -19,17 +19,13 @@ func PrimeFactorize(n uint) PrimeFactorization {
 		return PrimeFactorization{map[uint]uint{0: 1}}
 	}
 
-	unfactored := n // number with all found factors removed (divided)
+	unfactored := n
 	exponents := make(map[uint]uint)
 
-	// try each factor starting at 2
-	// if unfactored is divisible divide out until it isn't
-	for f := uint(2); f*f <= unfactored; {
-		if unfactored%f == 0 {
-			unfactored /= f
-			exponents[f] += 1
-		} else {
-			f += 1
+	for possibleFactor := uint(2); possibleFactor*possibleFactor <= unfactored; possibleFactor++ {
+		for unfactored%possibleFactor == 0 {
+			unfactored /= possibleFactor
+			exponents[possibleFactor] += 1
 		}
 	}
 
@@ -90,3 +86,7 @@ func (factors PrimeFactorization) String() string {
 	}
 	return strings.Join(parts, " × ")
 }
+
+func isPrime(p uint) bool {
+	return p > 1 && PrimeFactorize(p).Exponent(p) == 1
+}