# Prime factorization calculator

- Human page: https://happytails.ai/en/calculators/prime-factorization/
- Markdown: https://happytails.ai/en/calculators/prime-factorization.md
- Structured JSON: https://happytails.ai/agents/en/calculators/prime-factorization/index.json
- Visibility: public

## Tool capabilities

| Property | Value |
| --- | --- |
| Tool ID | `prime-factorization` |
| Category | calculators |
| Implementation | Registered implementation. Registration alone is not a production-quality guarantee. |
| Browser execution | Automatic updates after valid input or file selection. |
| Browser processing | Browser; see tool notes for network behavior. |
| HTTP API | Not callable through HTTP. |
| Browser-agent interface | run_current_tool |

### Implementation notes

Decomposes a whole number from 2 to 1 trillion into prime factors. The product of the displayed factors equals the original.

### Inputs and settings

No free-text input is required. Use the file inputs and/or settings below.

| Setting | Meaning | Control type | Default | Constraints |
| --- | --- | --- | --- | --- |
| `value` | Whole number | number | 360 | min=2 max=1000000000000 step=1 |

### Browser-agent workflow

1. Open the human page in a browser that supports WebMCP.
2. Discover the interface exposed by that page; use its actual schema.
3. Select files on the page first when the tool requires files.
4. Call `run_current_tool` with valid input and settings.
5. Inspect the returned result or error and the displayed output. Retrieve files from the displayed download links.

Calls do not automatically copy or download results. Browser permissions still apply. Interface availability alone is not proof of successful execution.

### Planning specification

Only whole numbers in the stated range are supported. Zero, one and negative values do not have a prime factorization in this tool. Computation happens locally in your browser.

This describes intended requirements. Use the implementation notes, interface schema and observed output to determine current support.

### Complete machine-readable capability record

```json
{
  "id": "prime-factorization",
  "category": "calculators",
  "built": true,
  "requirements": "Only whole numbers in the stated range are supported. Zero, one and negative values do not have a prime factorization in this tool. Computation happens locally in your browser.",
  "implementation": {
    "fields": [
      {
        "key": "value",
        "label": "Whole number",
        "value": 360,
        "type": "number",
        "min": 2,
        "max": 1000000000000,
        "step": 1
      }
    ],
    "input": false,
    "live": true,
    "presentation": "metrics",
    "note": "Decomposes a whole number from 2 to 1 trillion into prime factors. The product of the displayed factors equals the original.",
    "experience": {
      "automatic": true,
      "single": false,
      "inputMaxLength": 1000000,
      "inputMode": "text",
      "label": "Your text",
      "placeholder": "Type or paste your input…",
      "help": "Change the input or settings to update your result. Results update as you type. Up to 1,000,000 characters.",
      "action": null
    },
    "mode": "automatic",
    "interactive": false
  },
  "execution": "Browser interface",
  "api": null,
  "browser_agent": {
    "supported": true,
    "name": "run_current_tool",
    "discovery": "WebMCP on the human page in a supporting browser",
    "verification": "See audit/API-AUDIT.md; availability is not verification"
  }
}
```

## Page guide

Break a whole number into its prime factors.

How can we improve this tool?

Report a problem or share an idea.

Please leave out private information. Your message and the tool name go to our team via PostHog.

### How to use Prime factorization calculator

1. Enter the values you want to calculate and choose the relevant units or settings.
2. The result updates as you type. Adjust the available settings if needed.
3. Review the result, then use Copy result or a download link when available.

## Useful next steps

- [Prime number checker](https://happytails.ai/en/calculators/prime-number-checker/) ([Markdown](https://happytails.ai/en/calculators/prime-number-checker.md))

- [GCF calculator](https://happytails.ai/en/calculators/gcf-calculator/) ([Markdown](https://happytails.ai/en/calculators/gcf-calculator.md))

- [Lcm](https://happytails.ai/en/calculators/lcm/) ([Markdown](https://happytails.ai/en/calculators/lcm.md))

## How to use it

Enter an integer from 2 to 1 trillion. Repeated prime factors are shown individually so you can multiply them back together.

### A worked example

360 becomes 2 × 2 × 2 × 3 × 3 × 5. A prime such as 97 has just one prime factor: itself.

### What to know

Only whole numbers in the stated range are supported. Zero, one and negative values do not have a prime factorization in this tool. Computation happens locally in your browser.