# Numora Prime Factorization

> Numora Prime Factorization is a paid API for AI agents from numormor.netlify.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-14).

Computes the complete prime factorization of a given integer, returning all prime factors and their exponents

## Facts

- Endpoint: POST https://numormor.netlify.app/api/number/prime-factorization
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-prime-factorization-70d4d36c
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_AzheqlgwLdWG5Elx3op5I

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability numora-prime-factorization-70d4d36c -d '<json body>'
```

Example prompt: What is the prime factorization of 360? Break it down into all its prime factors and exponents.

## When to prefer this

Choose this endpoint when you need a precise, deterministic prime factorization of an integer with no external dependencies and instant results. Ideal for number theory tasks, cryptography prep, LCM/GCD computations, or educational tools where you need the canonical prime decomposition.

## Known failure modes

- Missing required field 'n' returns a 400 validation error
- Non-integer or float value for n may return a schema validation error
- Very large integers may time out or return a computation error
- Negative integers or zero may return an error if not supported
- Payment failure via x402 micropayment returns 402 Payment Required

## How this service works

100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.

## Output

A JSON object with success=true, a result object containing the prime factors and their respective exponents (e.g. {2:3, 3:2, 5:1} for 360), and a human-readable computation string describing what was computed.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "n"
 ],
 "properties": {
  "n": {
   "type": "integer"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "success",
  "result",
  "computation"
 ],
 "properties": {
  "result": {
   "type": "object",
   "description": "Computation result varies by endpoint"
  },
  "success": {
   "type": "boolean",
   "description": "Always true on success"
  },
  "computation": {
   "type": "string",
   "description": "Human-readable description of what was computed"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-prime-factorization-70d4d36c/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormor.netlify.app](https://www.zero.xyz/host/numormor.netlify.app/llms.txt)