
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Nilesh wants to distribute 480 beads into $r$ total containers such that each container contains an equal number of beads. There is more than one container, and each container contains more than one bead. For how many values of $r$ can this be achieved?

Present the answer in LaTex format: \boxed{Your answer}
user