6
2, 3
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72 / \ 2 36 / \ 6 6 / \ / \ 3 2 3 2
78 6 x 13 (2x3) x 13 The numbers 2, 3, and 13 are prime numbers, so the factor tree is complete. An alternate version of a factor tree for 78 is: 78 2 x 39 2 x (3x13)
12 divided by 2 6,2 6 divided by 2 3,2,2
Factor tree of 40: 40 20,2 10,2,2 5,2,2,2
First, pick a factor pair whose product is 246. Then, for each number that is not prime, choose a factor pair for it. Continue until you have reduced each branch of the tree to prime numbers. Here is a factor tree OS 246, using periods for spacing: ....246 ...../ \ ...6 x 41 ../ \ 2 x 3 The prime factors are 2, 3, and 41.