Divisible Sequences

We want to create a divisible sequence of length ll starting from a number NN. In a Divisible Sequence, every term (except the starting number) is a divisor of the previous term. Examples of divisible sequences of length 3 starting with 10 are:

10,10,1010,10,10

10,10,510,10,5

10,10,110,10,1

10,5,510,5,5 ... etc.

Find the number of divisible sequences of length 5 starting from the number 360.

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