prime-factorizer

prime-factorizer is a skill for Claude Code from richardhe-fundamenta/practical-gcp-examples. It costs 18 tokens per session (336 once invoked), scanned A, original, MIT.

A skill that calculates the prime factorization of an integer by running Python. Prime factorization means expressing a number as a product of prime numbers.

In plain words
What is it for?
Use it when you need the prime factors of a given integer.
Why use it?
It provides the exact factorization through an executed calculation instead of relying on mental arithmetic.

Skill for Claude Code

Written for Claude Code: when-to-use in frontmatter.

Good fit Use it when you need the prime factors of a given integer.

Compare 6 skills from other repositories ↓
Install with agentmods
npx agentmods add skills/richardhe-fundamenta/practical-gcp-examples/prime-factorizer
Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

Any agent
npx skills add richardhe-fundamenta/practical-gcp-examples --skill prime-factorizer
Clone the repo
git clone --depth 1 https://github.com/richardhe-fundamenta/practical-gcp-examples

Made for: Claude Code.

Wrote this? Show the measurements

A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.

agentmods badge for prime-factorizer

README.md
[![agentmods](https://agentmods.dev/badge/skills/richardhe-fundamenta/practical-gcp-examples/prime-factorizer/github.svg)](https://agentmods.dev/skills/richardhe-fundamenta/practical-gcp-examples/prime-factorizer)
Your own site
<a href="https://agentmods.dev/skills/richardhe-fundamenta/practical-gcp-examples/prime-factorizer"><img src="https://agentmods.dev/badge/skills/richardhe-fundamenta/practical-gcp-examples/prime-factorizer/github.svg" alt="Measured on agentmods" height="20"></a>

Or the 80×15 button, for a site that already has a row of RSS and ATOM ones. Only the verdict fits; the numbers stay here.

agentmods 80×15 button for prime-factorizer

Your own site · 80×15
<a href="https://agentmods.dev/skills/richardhe-fundamenta/practical-gcp-examples/prime-factorizer"><img src="https://agentmods.dev/badge/skills/richardhe-fundamenta/practical-gcp-examples/prime-factorizer.svg" alt="Reviewed on agentmods" width="80" height="20"></a>
Per session 18 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 336 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. A grade says what 26 rules found in the file — not that it is safe. Third-party audits
  • NVIDIA SkillSpector pass 7 Sept 2026
How audits are shown
Origin original No closer match found in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5.1 $0.00018 $0.00336
Opus 5 $0.00009 $0.00168
Sonnet 5 $0.00004 $0.00067
Haiku 4.5 $0.00002 $0.00034

Measured 10d ago against content hash b99077741988, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-09, from the pricing page.

Security

Grade A, and why

prime-factorizer scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 10d ago.

The scan reads SKILL.md. This mod also ships 1 executable file (scripts/factorize.py), listed below but not scanned — reading those needs a real analyzer, not pattern matching.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

adk-agy-agent/skills/prime-factorizer/SKILL.md · 40 lines

What it actually says

Prime factorization

When the user asks for the prime factors (or prime factorization) of an integer N, use your code execution tool to run Python in the sandbox. Substitute the user's number for N, run this exactly:

from collections import Counter

def prime_factors(n):
    n = int(n)
    factors = []
    d = 2
    while d * d <= n:
        while n % d == 0:
            factors.append(d)
            n //= d
        d += 1
    if n > 1:
        factors.append(n)
    return factors

N = 360  # <-- replace with the user's number
pf = prime_factors(N)
c = Counter(pf)
pretty = " x ".join(f"{p}^{e}" if e > 1 else f"{p}" for p, e in sorted(c.items()))
print(f"{N} = {pretty}   (prime factors: {pf})")

Always actually execute the code in the sandbox (do not compute it in your head). Your final reply MUST be the exact printed result line (for example: 360 = 2^3 x 3^2 x 5 (prime factors: [2, 2, 2, 3, 3, 5])). Do not reply with a summary of your steps.

Files

What ships with it

1 file beside SKILL.md in the same directory: the scripts, references and assets a skill reads on demand. Not counted in the per-session cost; read them before you install if any of them is executable.

Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. 10d ago First seen · 40 lines · 18 tokens per session scan A b99077741988

Subscribe to this mod's changes

prime-factorizer is a skill published in the GitHub repository richardhe-fundamenta/practical-gcp-examples (57 stars, last pushed 24d ago), licensed MIT. It adds 18 tokens to every session and 336 once invoked, about $0.0001 per session on Opus 5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-08-30.

Related

Other skills, from other repositories

jupyter-notebook

Iterative Python via live Jupyter kernel (hamelnb).

NousResearch/hermes-agent · 18 tokens

bioservices

Unified Python interface to 40+ bioinformatics services. Use when querying multiple databases (UniProt, KEGG, ChEMBL, Reactome) in a single workflow with consistent API. Best for cross-database analysis, ID mapping across services. For quick single-database lookups use gget; for sequence/file manipulation use…

K-Dense-AI/scientific-agent-skills · 73 tokens

matlab

Build, review, migrate, and safely plan MATLAB or GNU Octave numerical workflows, including arrays, tabular/time data, tests, projects, graphics, MAT files, and explicit Python interoperability.

K-Dense-AI/scientific-agent-skills · 42 tokens

pennylane

Hardware-agnostic quantum ML framework with automatic differentiation. Use when training quantum circuits via gradients, building hybrid quantum-classical models, or needing device portability across IBM/Google/Rigetti/IonQ. Best for variational algorithms (VQE, QAOA), quantum neural networks, and integration with…

K-Dense-AI/scientific-agent-skills · 98 tokens

cuopt-numerical-optimization-api

LP, MILP, and QP (beta) with cuOpt — Python, C, and CLI. Use when the user is solving LP, MILP, or QP with any cuOpt interface.

NVIDIA/skills · 51 tokens

rocm-kernels

Provides guidance for writing and benchmarking optimized Triton kernels for AMD GPUs (MI355X, R9700) on ROCm, targeting HuggingFace diffusers (LTX-Video, SD3, FLUX) and transformers. Core kernels: RMSNorm, RoPE 3D, GEGLU, AdaLN. Includes XCD swizzle, autotune, diffusers integration patterns, and LTX-Video pipeline…

huggingface/kernels · 93 tokens