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Suppose you have a number N and you want to find its largest prime factor. It is probably easiest to start at the bottom.Find the smallest prime factor, p.Find its factor pair = N/p.If the second number (= N/p) is a prime, then it is the largest prime factor.if not, replace N by N/p and go back to the top.
A factor tree is a representation of the process of finding the prime factorization of a given number.
Use a factor tree. 98 49,2 7,7,2
Use a factor tree. 48 24,2 12,2,2 6,2,2,2 3,2,2,2,2
20 10,2 5,2,2