The number 2 is chosen to begin a ladder diagram to find the prime factorization of 66. what other numbers could have been used to start the ladder
diagram for 66? how does starting with a different number change the diagram

So when making a ladder diagram for the number 66, there are multiple possible options for the first number, 2 is given, which leaves 33, which then becomes 11 and 3. If you had started with 11, you would next have 6 which would immediately become 2 and 3. The ladder will always have the same number of offshoots (2, 3 and 11 in this one) so there is no one right answer for the first step of the ladder.

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