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factor

Read-only

Prime factorize non-negative integers, returning JSON with each number's prime factors for decomposition analysis.

Instructions

Compute the prime factorization of given non-negative integers. Read-only, no side effects. Returns JSON with an array of prime factors for each input number. Use to decompose integers into prime components. Not for general arithmetic — use 'expr' for calculations. See also 'expr'.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
max_valueNoSafety cap for absolute input values.
numbersNoIntegers to factor. Defaults to whitespace tokens from stdin.
rawNoWrite factor lines without a JSON envelope.
Behavior3/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

Annotations already include readOnlyHint=true, so the description's 'Read-only, no side effects' is redundant. It adds context about return format (JSON array), but does not significantly enhance behavioral understanding beyond annotations.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness5/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is three sentences long, no unnecessary words, and front-loads the primary purpose. Every sentence adds value.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness5/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

Despite lacking an output schema, the description explains the return format (JSON array). Combined with full parameter documentation, the tool is well-described for its simplicity.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Input schema has 100% description coverage for all three parameters, so schema documentation is complete. The description does not add additional parameter meaning beyond what is already in the schema.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose5/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description clearly states 'Compute the prime factorization of given non-negative integers' with a specific verb and resource. It distinguishes itself from sibling 'expr' by stating 'Not for general arithmetic — use "expr" for calculations.'

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines5/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

The description provides explicit when-to-use ('Use to decompose integers into prime components') and when-not-to-use ('Not for general arithmetic — use "expr" for calculations'), and names the alternative tool 'expr'.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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