tag:blogger.com,1999:blog-4857051406259349751.post2867087926860207437..comments2024-07-18T00:34:33.826-07:00Comments on You Do the Math -- K thru Calculus: Factoring tricksUnknownnoreply@blogger.comBlogger2125tag:blogger.com,1999:blog-4857051406259349751.post-42734357689463596972015-12-19T15:52:26.043-08:002015-12-19T15:52:26.043-08:00I was thinking that most of the viewers would see ...I was thinking that most of the viewers would see the factor video first {https://youtu.be/hpiiPINXB80} so I didn't want to spend too much time reviewing the fundamental theorem.<br /><br />I generally lean toward the start-with-the-smallest because it groups the factors together in the proper order. That said, the just-keep-going-till-you-hit-primes has fewer rules and may seem more natural.Markhttps://www.blogger.com/profile/14705408455380402571noreply@blogger.comtag:blogger.com,1999:blog-4857051406259349751.post-60903720115344380382015-12-19T14:57:14.735-08:002015-12-19T14:57:14.735-08:00Say that primes are defined to start at 2 and afte...Say that primes are defined to start at 2 and after talking about primes and composites say that 1 is neither.<br /><br />For factor trees, you can start with any two factors and then partition them out rather than having to start with the smallest prime. For example, for 100 you might go 100 = 10 x 10. And the for the 10's, 10 = 2 x 5 which are both primes. It helps if the lowest prime factor is a large number and it's easy to see a non-prime factorisation.<br /><br />You could perhaps add that every composite number ("remember those are the non-prime numbers") has a prime factorisation.MPledgerhttps://www.blogger.com/profile/15845074140006920009noreply@blogger.com