https://www.google.com/url?sa=t&source=web&rct=j&url=http://www.math.hawaii.edu/~lee/courses/fundamental.pdf&ved=0ahUKEwjrwfWIvbvNAhVZHGMKHe-1Aa4QFghbMA4&usg=AF

https://www.google.com/url?sa=t&source=web&rct=j&url=http://www.math.hawaii.edu/~lee/courses/fundamental.pdf&ved=0ahUKEwjrwfWIvbvNAhVZHGMKHe-1Aa4QFghbMA4&usg=AFQjCNE1fWsMtZ7DYjuIM-nL-dWQDshhXw&sig2=d4ys1EebbIuswQA9sc7bgQ https://www.google.com/url?sa=t&source=web&rct=j&url=http://... note that prime factorization is unique up to order. We aren't talking about order when we use the term uniqueness.