name: factor-step-by-step description: Fully factor a number into primes by repeatedly calling the factor_step tool, one prime factor at a time, until the remainder is 1. metadata: version: "1.0.0"

Factor Step by Step

Fully factor a starting number into its prime factors using the factor_step tool.

Arguments

The user must provide a starting number (an integer greater than 1).

If no starting number is given, ask the user before proceeding.

Steps

1. Initialize

Set the current remainder n to the starting number provided.

Begin tracking the factors as a list: [].

2. Call the tool

Call factor_step with the current value of n.

factor_step(n=<current_remainder>)

STOP and WAIT for the tool result before continuing.

3. Record the result

Append the returned factor to the factors list.

Set n to the returned remaining.

4. Check termination

• If n == 1, proceed to Step 5.
• Otherwise, go back to Step 2.

Important rules:

• NEVER fabricate or simulate tool call results.
• NEVER make multiple tool calls in a single response.
• ALWAYS wait for the actual tool response before deciding next steps.

5. Report the result

Print the complete list of prime factors, for example:

1024 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

Also report:

• Starting number
• Total steps taken (number of tool calls made)